Question

By selling an article at $20\%$ discount, a shopkeeper gains $25\%$. If the selling price of the article is $Rs.1,440$; find :
i) the marked price of the article.
ii) the cost price of the article.

Answer 1

Let $M.P$ be $x$

then discount=$20\%ofx$

$\frac{20}{100}\times x=\frac{x}{5}$

$S.P$=$M.P$-discount

$x-\frac{x}{5}$

$=\frac{4x}{5}$

But given S.P=1440

$\frac{4}{5}x=1440$

$x=\frac{1140\times 5}{4}$

$x=1800$

Profit=S.P-C.P

$25\%ofC.P=1440-C.P$

$\frac{1}{4}C.P=1440-C.P$

$\frac{1}{4}C.P+C.P=1440$

$\frac{5}{4}C.P=1440$

$C.P=1140\times \frac{4}{5}$

$C.P=1152$

$So,M.P=1800andC.P=1152$