#### Question :

On selling a T . V . at 5 % gain and fridge at 10 % gain, a shopkeeper gains R s . 2000 . But if he sells the T . V . at 10 % gain and the fridge at 5 % loss. He gains R s . 1500 on the transaction. Find the actual prices of T . V . and fridge.Submitted on 29/12/2023 | Answered by Vandana Rana#### Answer :

Let, the price of a TV be Rs . xand that of a fridge be Rs. y

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Then, we have: 5x /100 + 10y/100=2000
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5x + 10y = 200000

⇒ x + 2y =40000

⇒ x = 40000 − 2y...(i)

Now, 10x/100 − 5y/100=1500

⇒10x − 5y=150000

⇒2x − y=30000

⇒2(40000−2y)−y=30000

from equation (i)

⇒80000−4y−y=30000

⇒5y=80000−30000

⇒y=50000/5

⇒y=Rs 10000

∴ x =Rs 40000−Rs20000

⇒x=Rs.20000

∴ Price of a T.V. =Rs. 20000Price of a fridge =Rs.10000