Q-1 On sellinga T.V. at 5% gain and a fridge at 10% gain , a shopkeeper gains Rs 2000.
But if he sells the T.V. at 10% gain and the fridge at 5% loss . He gains Rs 1500 on the transaction .
Find the actual price of T.V and fridge.
let the actual price of TV and fridge be Rs. x and Rs. y respectively.
% gain on TV = 5%
therefore gain on Rs. x =
% gain on fridge = 10%
therefore gain on Rs. y =
total gain = Rs. 2000
if the gain on TV is 10% and loss on fridge is 5% loss .
total gain = Rs. 1500
substituting the value of x in (1):
2y = 40000-20000
2y = 20000
y = 20000/2 = 10000
thus the actual price of TV is Rs. 20000 and the actual price of fridge is Rs. 10000.
hope this helps you.
(i) On selling of a T.V. at 5% gain and a fridge at 10% gain, shopkeeper gain Rs.2000.
(ii) Selling T.V. at 10% gain and fridge at 5% loss. He gains Rs. 1500.
To find: Actual price of T.V. and fridge.
According to the question:
Hence we got the pair of equations
1x + 2y − 40000 = 0 …… (1)
2x − 1y − 30000 = 0 …… (2)
Solving the equation by cross multiplication method;
Cost of T.V. =
Cost of fridge =
Hence the cost of T.V. is and that of fridge is .