Question

on selling a TV at 5% gain and a fridge at 10% gain, a shopkeeper gains Rs.3250 but if he sells the TV at 10% gain and the fridge at 5% loss he gains Rs.1500. Find the CP of TV and fridge ​

Answer 1

Answer:

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.

Class 10th

3. Pair of Linear Equations in Two Variables

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

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