Question

the profit earned by selling an article for Rs 900 is double the loss incurred when the same article is sold for Rs. 600. what should be the sale price of the article for making 40 percent profit?

Answer 1

let the cost price be x
Selling price = 900
profit = 900 - x
if selling price = 600
loss = x - 600
profit = 2 * loss
so, 900 - x =2(x - 600)
900 - x =2x - 1200
3x = 2100
x =700
so, cost price =700 Rs.
profit % = {(SP - CP)*100}/CP
so, 40 = {(SP -700)*100}/700
280=SP - 700
therefore Sale price = 700 + 280 =980 Rs.