Question

A trader bought an article and then sold. Had he bought at 10% less and sold at 10% more, he would have doubled his profit percentage. What percentage of the selling price is the cost price ?

Answer 1

He bought it for x and sold it for y.

The profit percentage is \(\dfrac{y - x}{x} \times 100\)

The profit percentage could have been \(\dfrac{1.1y - 0.9x}{0.9x} \times 100\)

The second percentage is twice the first percentage, so you have

\(\dfrac{1.1y - 0.9x}{0.9x} \times 100 = 2 \times \dfrac{y - x}{x} \times 100\)

Solve for x in terms of y.

Answer 2

Thank you :)

Answer 3

You're welcome.