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