1. A total of Rs 80,000 is to be diste ributed among 200 persons as prize. A prize is either Rs 500 orhe ration of Rs 100. Find the number of each price.

2. The ages of Leena and Heena are in the ration of 7:5. Ten years hence the ratioind their present age.

3. A sum of Rs 800 is in the form of denominations of Rs 10 and rs 20. If the total number of notes is 50, find the number os notes of each type.

4.Vikas is three years older then Deepika. Six years ago, Vikas's age was four times Dipeeka's age. Find the ages of deepika and Vikas.

Q3. Let the number of Rs 10 notes be x.

Total number of notes = 50

∴Number of Rs 20 notes = 50 - x

Total sum = Rs 800

According to the question,

10(x) + 20(50 - x) = 800

⇒10x + 1000 - 20x = 800

⇒10x = 200

∴x = 20

Thus, number of Rs 10 notes = x = 20

Number of Rs 20 notes = 50 - x = 50 - 20 = 30

 

Q4. Let the present age of Deepika be x years.

Therefore, present age of Vikas = x + 3.......(1)

Deepika's age 6 years ago = x - 6

Vikas's age 6 years ago = (x + 3) - 6 = x - 3

According to the question,

x - 3 = 4(x - 6)

⇒x - 3 = 4x  -24

⇒3x = 21

∴x = 7

Thus, present age of Deepika = x = 7 years.

Present age of Vikas = x + 3 = 7 + 3 = 10 years.

Now try the remaining questions yourself. If you face any problem, then do get back to us.

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