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+1 vote
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in Algebra by (47.4k points)
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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 price of the T.V. and the fridge.

1 Answer

+2 votes
by (47.8k points)
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Best answer

Let the actual price of a T.V. = x 

Let the actual price of a Fridge = y 

\(\frac{5}{100}\)x + \(\frac{10}{100}\)y = 2000 

\(\frac{5}{100}\)(x + 2y) = 2000 

x + 2y = 2000 x \(\frac{100}{5}\)

x + 2y = 40000 … (1) 

\(\frac{10}{100}\)x – \(\frac{5}{100}\)y = 1500

2x – y = 1500 x \(\frac{100}{5}\)

2x – y = 30000 … (2)

Substitute y = 10000 in (1) 

x + 2(10000) = 40000 

x + 20000 = 40000 

x = 40000 – 20000 

x = 20000 

∴ Actual price of T.V. = Rs 20000 

Actual price of Fridge = Rs 10000

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