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.

Question

Philoid · Accepted Answer

Let the actual price of Tv be ‘a’ and actual price of fridge be ‘b’.

Given, on selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper gains Rs 2000.

∴ 5% of a + 10% of b = 2000

⇒ 5a + 10b = 200000 ----------- (1)

Also, if he sells the T.V. at 10% gain and the fridge at 5% loss.

∴ 10% of a – 5% of b = 1500

⇒ 10a – 5b = 150000 -------- (2)

Multiplying eq2 by 2 and adding eq1 to it

⇒ 5a + 10b + 20a – 10b = 200000 + 300000

⇒ 25a = 500000

⇒ a = Rs. 20000

Thus, 5 × 20000 + 10b = 200000

⇒ b = Rs. 10000