On selling a 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 prices of T.V. and fridge.
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Price of one TV = Rs. 20,000
Price of one fridge = Rs. 10,000
Step-by-step explanation:
Let 1% of TV price be x and 1% of fridge price be y.
Given:
5x + 10y = 2000 -------------(1)
10x - 5y = 1500 -------------(2)
(1)*2 will be 10x + 20y = 4000 -----------(3)
Subtracting (2) from (3), we get: 25y = 2500
Therefore y = 2500/24 = 100
Substituting in y = 100 equation 1, we get 5x + 1000 = 2000
Therefore x = 1000/5 = 200
Hence solved. x = 200, y = 100
Price of one TV = x * 100 = 200 * 100 = Rs. 20,000
Price of one fridge = y * 100 = 100 * 100 = Rs. 10,000
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