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the capus of college having 320 students having stock of food for 80 days if 20 students leave the campus after 20 days how many more days will the foods last?
How to identify whether it is Direct or Inverse proportion?
An electric pole 14m high casts a shadow of 10m. Find the height of a tree that casts a shadow of 15m under similar conditions.
2 men can do a peice of work in 6 hours and 4 hours respectively. After the first has worked for 2 hours' he is joined by the other. By when should the work be compleated?
If the weight of 12 sheets of thick paper is 40 grams,how many sheets wud weigh 2 an a half???
if p=4q, then p and q vary ________ with each other
a) inversely
b) directly
c) insufficient information
A can do a piece of work in 14 days while B can do it in 21 days. They began together and worked at it for 6 days. Then, A fell ill and B had to complete the remaining work alone. In how many days was the work completed?
500 soldiers in a fort had enough food for 30 days . after 6 days, some soldiers were sent to another fort and thus the food lasted for 32 more days . how many soldiers left the fort ?
A car covers 432 km in 36 litres of petrol. How much distance will it cover in 25 litres of petrol?
The C.P of two watches taken together is Rs 840. If by selling one at a profit of 16% and the other at a loss of 12%, there is no gain or loss in the whole transaction then find the C.P of each watch.(PLZ answer soon exam is approaching)
a car travels a distance of 715km at a uniform speed.if the speed of the car is 10 km/hr more , it takes 2 hrs less to cover the same distance.find the original speed of the car
a shopkeeper buys an article for Rs 400 ana marks it for sale at a price that may give him 80% profit on his cost. he,however gives 15% discount on the marked price to his customer.
calculate:
i) the marked price of the article,
ii) the discount in rupees given to the customer,
iii) the actual percentage profit made by the shopkeeper.
Ques1 Alok worked on a set of mathematics problems for 20 min and finished 4/15 of it. He then called Asha. Working together, they finished the complete set in 22min. How long would Asha and Alok alone had taken to finish the set?
Ques2 Pipe A can fill tank in 3hrs. Pipe B can fill tank in 4hrs. An outlet pipe C can empty the tank in 6hrs. If all three pipes are kept open simultaneously, in how many hrs will the tank will be half full?
Ques3 Tap A fills tank in 2hrs. Outlet B and c can empty the tank in 4hrs and 6hrs respectively. If the tank is empty and A and B are turned on, hoe long will it take to fill up? After the tank A,B and C are all turned on. How long will the tank take to be empty?
Ques4 Tap A can fill a tank in 8min. Outlet B can empty the tank in 12min. If both are kept open,how long will it take to fill the tank?
8 persons can earn Rs 6000 in 5 days. What amountwill 3 persons earn in 12 days?
If 45 men can do a piece of work in 49 days, in how many days will 35 men do it?
A shopkeeper marks his goods 20% higher above the cost price and also gives a discount of 10%. Find his gain percent.
If x and y vary inversely and x=15 when y=6, find y when x=9.
In a hostel it costs Rs. 1800 to keep 50 children for 8 weeks. For what length of time did the cost of keeping 90 children amount to Rs. 21060 ?
An aeroplane flies 4235 km in 5 hrs 30 mins. How long will it take to fly a distance of 2310 km?
i am not able to understand how to do it. please someone help!!!!!! fast, my exams are coming....
An employer reduces the number employers in the ratio 15:8 and increases their wages in the ratios 14:25. In whatratio, the wages bill is increased or decreased.
The sum of two numbers is 28/25 of the first number. The second number is what percent of the first? (plz ans soon exam is aproaching)
A garrison of 120 men has provision for 30 days. At the end of 5 days, 5 more men joined them. How many days can they sustain on the remaining provision?
karan deposited rs 32000 in a bank that gives compound interest at 12.5% per annum. how muchmoneywill karan get back after 3 year.
ans amount = 45562.50; c.i=rs 13562.50
what is meant by compound proportion?
A shopkeeper sold an article at a gain of 5%. If he had sold it for Rs 16.50 less, he would have lost 5%. Find the C.p of the article.
If 8 Oranges Cost Rs.10.40, How Many Oranges Can Be Bought For Rs.33.80?
What is proportion?
A shopkeeper buys two T.V sets of the same type. He sells one of them at a profit of 20% and the other at a loss of 5%. If the difference in selling prices is Rs 700, find the cost price of each T.V set
8. A train 210 m long took 12 seconds to pass a 90 m long tunnel. Find the speed of the train.
A father gives 1% of his monthly income to his two son as pocket money.the elder son gets 80% of the total amount of money and he spends 80% of his share . If he save Rs 20 per month. Determine father's monthly income. (Plz answer this Question soon, exam is approaching)
if three persons can weave 168 shawls in 14 days ,how many shawls will be woven by 8 persons in 5 days.
If a man travels 65 km in 3 days by walking 7.1/2hours a day, in how many days will he travel 156 km by walking 8hours a day
The scale of a map is 1:3 x 10^{7 }. Two cities are 5cm apart on a map. Find the actual distance between them in km.
difference between direct and inverse proportion ....
plz tell me fast ...............
P and Q can harvest a field in 5 and 7 days respectively.after P has worked for 3 days, he is joined by Q.in how many more days will the work be completed?
A hostel had rations for 60 days for 500 students. After 12 days, 300 more students join the hostel. How much long the remaining food will last? Please help me solve this tricky question. Thanks.
Varun and Arun can plough a field in 12 and 18 hours respectively. varun ploughs the field for 4 hours after that he leaves and then arun ploughs the rest of the remaining field. How long did arun take to plough the remaining field?
A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?
A hostel spends Rs.3200 as cost of rice for 20 students for 30 days.If they spend Rs.2400 for 30 students,for how many days will the rice last?
A contractor employed 210 men to build a house in 60 days . After 12 days , he was joined by 70 more men. in how many days willthe remaining worh be finished?
is there any formula of direct proportion 
x_{1 } / x_{2} = y_{1 / } y_{2}
John bought two horses at Rs 20000 each. He sold one horse at 15% gain. But he had to sell the second horse at a loss. If he had suffered a loss of Rs 1800 on the whole transaction, find the selling price of the second horse. (PLZ answer soon exam approaching)
Q7.A train 400m long is running at a speed of 72km/hr.How much time does it take to cross a telegraph post? please help fast!
A loaded truck travels 14 km in 25 min. If the speed remains the same,how far can it travel in 5 hrs?
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
plzz help me in this question......
10 men working for 5 hours a day for 6 days mow an area of 5 acres..If there are 8 men working 4 hours a day to mow 4 acres of land, how many days will it take???
A shopkeeper bought locks at a rate of 8 locks for Rs 34 and sold them at a rate of 12 locks for Rs 57. Calculate:
1. his gain percent and
2. the number of locks he should sell to earn a profit of Rs 45. (PLZ answer soon exam approaching)
1. If 72 men can do a piece of work in 25 days, how many days will 30 men do it?
2. If 20 men can reap field in 8 days, then 16 men will reap the same field in how many days?
3. A Train is moving at a uniform speed of 72 Kms. per hour.
a) How far will it travel in 25 minutes? b) Find the time required to cover a distance of 216 Kms.?
4. Walking at a speed of 4 Kms. per hour a man covers a certain distance in 2 hours 4 minutes. If he runs at a speed of 16.5 kmr. per hour, find the time taken by him to cover the same distance?
5. A certain number of men could do a piece of work in 60 days. If there were 8 more it could be finished in 10 days less. Find the number of men in the beginning?
6. If 12 Carpenters can make 480 Chairs in 24 days, how many Carpenters can make 1000 Chairs in 24 days?
24 men can complete a work in 16 days. 32 women can complete the same work in 24 days. 16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days?
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days. Find the time taken by A alone to complete the work?
if 9 kg of sugar costs rs.166.50 ?how much sugar can be bought for rs.259?
A contractor who had a work force of 630 persons, undertook to complete a portion of a stadium in 14 months. He was asked to complete the job in 9 months. How many extra persons had he to employ?
In an election, a candidate got 65% of the total valid votes. 8% of the total votes were declared invalid. If the total number of votes cast was 6,00,000. Find the number of valid votes polled in favour of the candidate. (plz answer its urgent ,exam is approacing)
Question 6:
In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?
Let the length of the mast of the model ship bexcm.
The given information in the form of a table is as follows:

Height of mast
Length of ship
Model ship
9 cm
x
Actual ship
12 m
28 m
We know that the dimensions of the actual ship and the model ship are directly proportional to each other.
Therefore, we obtain:
Thus, the length of the model ship is 21 cm.
in the answer why do we leave some units in m and some in cm .is it not mistake to do that.
A train 140m long running at speed of 60km/h. In how much time will it pass a platform 260m long?
' Area of cultivated land and the crop harvested.' Is this in direct or indirect proportion?
a hostel of college having 320 students has a stock of food for 80 days. if 20 students leave the hostel after 20 days , for how many more days will the food last
1200 soldiers in a fort had enough food for 28 days.after 4 days some soldiers were transferred to another fort and thus the food lasted for 32 more days.how many soldiers left the fort.
Chalk contains 10% calcium, 3% carbon and 12% oxygen. Find the amount (in grams) of each of these compounds in 1 kg of chalk. (plz answer soon exam is approaching)
1. Udit can complete his work in 10 days. What amount of work will be completed in 8 days?
2. A train 150m long is running at a speed of 72 km/hr. It crosses a bridge in 13 seconds. Find the length of the bridge
3. If x and y vary inversely and x = 25, when y = 3. Find y, when x =15 (explain with the whole process)
8 taps having the same rate of flow ,fill the tank in 27 minutes .if 2 tapes ,go out of order how long will the remaining tapes take to fill the tank ???
If 18 Dolls Cost Rs.630, How Many Dolls Can Be Bought For Rs.455?
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?
a water tank has three inlets. inlet 1 can fill the tank in 30 min...inlet 2 can fill it in 40min... inlet 3 can fill it in 60 min... if all the three inlets are opened together how long will it take to fill the tank..
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Syllabus
the capus of college having 320 students having stock of food for 80 days if 20 students leave the campus after 20 days how many more days will the foods last?
How to identify whether it is Direct or Inverse proportion?
An electric pole 14m high casts a shadow of 10m. Find the height of a tree that casts a shadow of 15m under similar conditions.
2 men can do a peice of work in 6 hours and 4 hours respectively. After the first has worked for 2 hours' he is joined by the other. By when should the work be compleated?
If the weight of 12 sheets of thick paper is 40 grams,how many sheets wud weigh 2 an a half???
if p=4q, then p and q vary ________ with each other
a) inversely
b) directly
c) insufficient information
A can do a piece of work in 14 days while B can do it in 21 days. They began together and worked at it for 6 days. Then, A fell ill and B had to complete the remaining work alone. In how many days was the work completed?
A hostel had rations for 150 students for 60 days. After 12 days, 30 more students join the hostel. How long will the remaining rationsleft?
500 soldiers in a fort had enough food for 30 days . after 6 days, some soldiers were sent to another fort and thus the food lasted for 32 more days . how many soldiers left the fort ?
A car covers 432 km in 36 litres of petrol. How much distance will it cover in 25 litres of petrol?
The C.P of two watches taken together is Rs 840. If by selling one at a profit of 16% and the other at a loss of 12%, there is no gain or loss in the whole transaction then find the C.P of each watch.(PLZ answer soon exam is approaching)
a car travels a distance of 715km at a uniform speed.if the speed of the car is 10 km/hr more , it takes 2 hrs less to cover the same distance.find the original speed of the car
a shopkeeper buys an article for Rs 400 ana marks it for sale at a price that may give him 80% profit on his cost. he,however gives 15% discount on the marked price to his customer.
calculate:
i) the marked price of the article,
ii) the discount in rupees given to the customer,
iii) the actual percentage profit made by the shopkeeper.
Ques1 Alok worked on a set of mathematics problems for 20 min and finished 4/15 of it. He then called Asha. Working together, they finished the complete set in 22min. How long would Asha and Alok alone had taken to finish the set?
Ques2 Pipe A can fill tank in 3hrs. Pipe B can fill tank in 4hrs. An outlet pipe C can empty the tank in 6hrs. If all three pipes are kept open simultaneously, in how many hrs will the tank will be half full?
Ques3 Tap A fills tank in 2hrs. Outlet B and c can empty the tank in 4hrs and 6hrs respectively. If the tank is empty and A and B are turned on, hoe long will it take to fill up? After the tank A,B and C are all turned on. How long will the tank take to be empty?
Ques4 Tap A can fill a tank in 8min. Outlet B can empty the tank in 12min. If both are kept open,how long will it take to fill the tank?
8 persons can earn Rs 6000 in 5 days. What amountwill 3 persons earn in 12 days?
If 45 men can do a piece of work in 49 days, in how many days will 35 men do it?
A shopkeeper marks his goods 20% higher above the cost price and also gives a discount of 10%. Find his gain percent.
If x and y vary inversely and x=15 when y=6, find y when x=9.
In a hostel it costs Rs. 1800 to keep 50 children for 8 weeks. For what length of time did the cost of keeping 90 children amount to Rs. 21060 ?
An aeroplane flies 4235 km in 5 hrs 30 mins. How long will it take to fly a distance of 2310 km?
i am not able to understand how to do it. please someone help!!!!!! fast, my exams are coming....
An employer reduces the number employers in the ratio 15:8 and increases their wages in the ratios 14:25. In whatratio, the wages bill is increased or decreased.
The sum of two numbers is 28/25 of the first number. The second number is what percent of the first? (plz ans soon exam is aproaching)
A garrison of 120 men has provision for 30 days. At the end of 5 days, 5 more men joined them. How many days can they sustain on the remaining provision?
karan deposited rs 32000 in a bank that gives compound interest at 12.5% per annum. how muchmoneywill karan get back after 3 year.
ans amount = 45562.50; c.i=rs 13562.50
what is meant by compound proportion?
How many more trucks are required to be hired to transport all the fruit boxes?
A shopkeeper sold an article at a gain of 5%. If he had sold it for Rs 16.50 less, he would have lost 5%. Find the C.p of the article.
If 8 Oranges Cost Rs.10.40, How Many Oranges Can Be Bought For Rs.33.80?
What is proportion?
A shopkeeper buys two T.V sets of the same type. He sells one of them at a profit of 20% and the other at a loss of 5%. If the difference in selling prices is Rs 700, find the cost price of each T.V set
8. A train 210 m long took 12 seconds to pass a 90 m long tunnel. Find the speed of the train.
THIS QUESTION IS FROM DIRECT AND INVERSE PROPRTION.
A father gives 1% of his monthly income to his two son as pocket money.the elder son gets 80% of the total amount of money and he spends 80% of his share . If he save Rs 20 per month. Determine father's monthly income. (Plz answer this Question soon, exam is approaching)
if three persons can weave 168 shawls in 14 days ,how many shawls will be woven by 8 persons in 5 days.
If a man travels 65 km in 3 days by walking 7.1/2hours a day, in how many days will he travel 156 km by walking 8hours a day
it is direct or inverse
1. At what time will he reach his friend's house?
2. Find his average speed correct to one place of decimal.
The scale of a map is 1:3 x 10^{7 }. Two cities are 5cm apart on a map. Find the actual distance between them in km.
difference between direct and inverse proportion ....
plz tell me fast ...............
P and Q can harvest a field in 5 and 7 days respectively.after P has worked for 3 days, he is joined by Q.in how many more days will the work be completed?
A hostel had rations for 60 days for 500 students. After 12 days, 300 more students join the hostel. How much long the remaining food will last? Please help me solve this tricky question. Thanks.
Varun and Arun can plough a field in 12 and 18 hours respectively. varun ploughs the field for 4 hours after that he leaves and then arun ploughs the rest of the remaining field. How long did arun take to plough the remaining field?
A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?
( pls don't send link of other similar question. Solve this only as it is a little bit different )
A hostel spends Rs.3200 as cost of rice for 20 students for 30 days.If they spend Rs.2400 for 30 students,for how many days will the rice last?
A contractor employed 210 men to build a house in 60 days . After 12 days , he was joined by 70 more men. in how many days willthe remaining worh be finished?
is there any formula of direct proportion 
x_{1 } / x_{2} = y_{1 / } y_{2}
John bought two horses at Rs 20000 each. He sold one horse at 15% gain. But he had to sell the second horse at a loss. If he had suffered a loss of Rs 1800 on the whole transaction, find the selling price of the second horse. (PLZ answer soon exam approaching)
Q7.A train 400m long is running at a speed of 72km/hr.How much time does it take to cross a telegraph post? please help fast!
A loaded truck travels 14 km in 25 min. If the speed remains the same,how far can it travel in 5 hrs?
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
How many more trucks are required to be hired to transport all the fruit boxes?
plzz help me in this question......
10 men working for 5 hours a day for 6 days mow an area of 5 acres..If there are 8 men working 4 hours a day to mow 4 acres of land, how many days will it take???
A shopkeeper bought locks at a rate of 8 locks for Rs 34 and sold them at a rate of 12 locks for Rs 57. Calculate:
1. his gain percent and
2. the number of locks he should sell to earn a profit of Rs 45. (PLZ answer soon exam approaching)
1. If 72 men can do a piece of work in 25 days, how many days will 30 men do it?
2. If 20 men can reap field in 8 days, then 16 men will reap the same field in how many days?
3. A Train is moving at a uniform speed of 72 Kms. per hour.
a) How far will it travel in 25 minutes? b) Find the time required to cover a distance of 216 Kms.?
4. Walking at a speed of 4 Kms. per hour a man covers a certain distance in 2 hours 4 minutes. If he runs at a speed of 16.5 kmr. per hour, find the time taken by him to cover the same distance?
5. A certain number of men could do a piece of work in 60 days. If there were 8 more it could be finished in 10 days less. Find the number of men in the beginning?
6. If 12 Carpenters can make 480 Chairs in 24 days, how many Carpenters can make 1000 Chairs in 24 days?
whatever, but why it's reciprocating? just i'm not getting this.
i know it's unitary method for calculating for 1 day or 1 hour.. but still, please explain me.
and here, i'm talking about all questions, not only 1. so i can't send you the particular question.
For your reference some questions+their answers are attached below.
Kindly explain in detail.
Thanking you in advance.
24 men can complete a work in 16 days. 32 women can complete the same work in 24 days. 16 men and 16 women started working and worked for 12 days. How many more men are to be added to complete the remaining work in 2 days?
Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days. Find the time taken by A alone to complete the work?
if 9 kg of sugar costs rs.166.50 ?how much sugar can be bought for rs.259?
A contractor who had a work force of 630 persons, undertook to complete a portion of a stadium in 14 months. He was asked to complete the job in 9 months. How many extra persons had he to employ?
In an election, a candidate got 65% of the total valid votes. 8% of the total votes were declared invalid. If the total number of votes cast was 6,00,000. Find the number of valid votes polled in favour of the candidate. (plz answer its urgent ,exam is approacing)
Question 6:
In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?
Answer:Let the length of the mast of the model ship bexcm.
The given information in the form of a table is as follows:

Height of mast
Length of ship
Model ship
9 cm
x
Actual ship
12 m
28 m
We know that the dimensions of the actual ship and the model ship are directly proportional to each other.
Therefore, we obtain:
Thus, the length of the model ship is 21 cm.
in the answer why do we leave some units in m and some in cm .is it not mistake to do that.
a) Amount of interest and rate of interest.
b) Number of burgers and their Cost.
c) Work done by of labourers and time taken by them to do the work,
d) Speed of a racing car and time taken by it to reach the finishing line.
e) Area of land and its price.
f) Number of students and fees collected in a school.
g) Population of a state and area of land per person.
h) Time taken and distance travelled by a car, i) Distance travelled in a journey and cost of ticket paid for journey. j) Number of pens purchased and price paid for them.
Q2. 5 taps Of equal capacity can fill a water tank in 40 minutes. How many taps of same capacity an? required to fitl the tank in minutes? At a particular time and a particular place, the shadmv cast by a high pole is 5.4m long. Find the length Of the shadow cast by a pole of length 7m at the same place and al the satne time. Q4. 95 men have food provisions for 120 days. If 35 men died due to an epidemic, then for how many days will the food last? Q5. Monika's typing speed is words per hour. How many words can she type in 18 min.? A hospital supports 73 patients at an average monthly COSt Of What is the amount to spent if the of patients is increased by 37? 07. The price Of rice is Rs.20/ kg I can buy 12kg for Rs.24(). If the price goes up by Rs.2/kg, how much rice can J buy for Rs.240? Q8. soldiers in a fort had enough food for 30 days. After 6 days, some of the soldiers Were to another fort and thus the food lasted for 32 more days. HOW soldiers left the fort? Q 9. What should be the sales tax when cost of doll is Rs 750 and sales tax is charged Also find bill Q 10. Soham sells two watches for Rs 1955 each gaining on one and losing 15% on other. Find the overall gain % or IOSS% on the Whole transaction. QII_ Mario Rs 8,000 in a plan. She would be paid interest at 5% per annum calculated annually. Find: (i) the amount credited against his name at end of third year. ii)amount at the end of I Va years if comvyounded half yearly. Page 1 2
A train 140m long running at speed of 60km/h. In how much time will it pass a platform 260m long?
' Area of cultivated land and the crop harvested.' Is this in direct or indirect proportion?
a hostel of college having 320 students has a stock of food for 80 days. if 20 students leave the hostel after 20 days , for how many more days will the food last
1200 soldiers in a fort had enough food for 28 days.after 4 days some soldiers were transferred to another fort and thus the food lasted for 32 more days.how many soldiers left the fort.
Chalk contains 10% calcium, 3% carbon and 12% oxygen. Find the amount (in grams) of each of these compounds in 1 kg of chalk. (plz answer soon exam is approaching)
1. Udit can complete his work in 10 days. What amount of work will be completed in 8 days?
2. A train 150m long is running at a speed of 72 km/hr. It crosses a bridge in 13 seconds. Find the length of the bridge
3. If x and y vary inversely and x = 25, when y = 3. Find y, when x =15 (explain with the whole process)
8 taps having the same rate of flow ,fill the tank in 27 minutes .if 2 tapes ,go out of order how long will the remaining tapes take to fill the tank ???
If 18 Dolls Cost Rs.630, How Many Dolls Can Be Bought For Rs.455?
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?
a water tank has three inlets. inlet 1 can fill the tank in 30 min...inlet 2 can fill it in 40min... inlet 3 can fill it in 60 min... if all the three inlets are opened together how long will it take to fill the tank..