Question

A shopkeeper offers his customer 10% discount and still earns a profit of 20%. What is the actual cost of the article marked at Rs 500?

Answer 1

⇒ Market price of article is Rs.280.

⇒ Discount = 10% of 280 = Rs.28

⇒ Selling price = 280−28=Rs.252

⇒ Profit is 26%.

⇒ Let C.P. be x.

⇒ Selling price = Cost price + Profit.

⇒ 252=x+x×

100

26

⇒ 100x+26x=252×100

⇒ 126x=25200

⇒ x=

126

25200

⇒ x=Rs.200

∴ The cost price is Rs.200