# 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 (1) +2*(2) substituting the value of x in (1):

20000+2y=40000

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.

cheers!!

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Given:

(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 .

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