Question

A wholesaler sells an article to a retailer at a profit of 10%. The retailer sells the same to a customer for Rs 1518, thereby earning a profit of 15%. Find the original cost price of the article.

Answer 1

let, cost be x.
then cost paid by retailer is 110x/100.
retailer sell the article on profit of 15 % = 110x/100*115/100 =1518
=1200 is the original cost of the article.

Answer 2

The original cost price of the article is 1200.

Let the original cost price of the article be Rs x.

The wholesaler sells the article to the retailer at a profit of 10%.

So, the selling price of the article would be = (100+profit)% of CP

= 110% of Rs x

= Rs 1.1x

So, the retailer buys it for Rs 1.1x

He sells it to a customer at 15% profit.

So, SP = (100+profit)% of CP

= 115% of Rs 1.1x

= Rs (115/100 * 1.1)x

= Rs 1.265x

This is equal to Rs 1518

So, 1.265x = 1518

⇒ x = (1518/1.265)

= Rs 1200