Question

A merchant allows a discount of $10\%$ on an article before selling it to his customer and still gain $10\%$. If the merchant bought the article for Rs. $1620$, then at what price did he mark the article?

Answer 1

Given

Cost price $=1620$

Gain %$=10$%

Selling price $=1620+1620\times \frac{10}{100}$

$=1620+162$

S.P$=1782$

Market price $=100x$

$90x=1782$

$10$% discount

$x=\frac{1782}{90}$

$\therefore$ Market price $=100x=100\times \frac{1782}{90}=10\times 1980$

Mark of article $=1980$