Question

A trader bought a number of articles for Rs. 1,200. Ten were damaged and he sold each of the remaining articles at Rs. 2 more than what he paid for ir, thus getting a profit of Rs. 60 on the whole transaction.

Taking the number of articles he bought as x, form an equation in x and solve it.

Answer 1

Number of articles bought by the trader = x

It is given that the trader bought the articles for Rs 1200.

So, cost of one article = Rs 1200/x

Ten articles were damaged. So, number of articles left = x - 10

Selling price of each of (x - 10) articles = Rs (1200/x + 2)

Selling price of (x - 10) articles = Rs (x − 10)(1200/x + 2)

Number of articles cannot be negative. So, x = 100.