Question

A person bought an artticle and sold it at a loss of 20%. If he had bought it at 10% loss and sold it for 74 more. He would have gained 30%. Find the profit percent if he had sold it at rs.220.

Answer 1

original buying price = a

If he bought 10% loss then buying price = 90a/100

original selling price = 80a/100

Selling price should be = 80a/100 + 74

(80a/100 + 74)/ (90a/100)  x 100 = 130

(8a+740)/9a  x 100  = 130

800a + 74000 - 1170a

370a = 74000

a = 200

So cost price = 200

If he had sold it at Rs. 220 profit will be = 20/200 x 100 = 10%