Question

The profit percent earned by selling an article for rs. 1920 is equal to the loss percent earned by selling the same article for rs. 1280. at what price should he sell the article so that profit earned is 25%?

Answer 1

let the cost price be CP
SP1=1920
SP2=1280
Given that
profit% on SP1=loss% on SP2
(SP1-CP)/CP=(CP-SP2)/CP
CP=(SP1+SP2)/2
CP=(1920+1280)/2=1600

When sold at 25% profit
SP=125% of CP=125% of 1600=2000(Ans.)