Question

A tradesman marks his goods at such a price that after allowing a discount of $15\%$, he makes a profit of $20\%$. What is the marked price of an article whose cost price is Rs. 170?

Answer 1

Rate of discount $=15\%$
Gain $=20\%$
Cost price (C.P) of an article = Rs. 170
$\therefore$ Selling price (S.P)
$=\frac{C.P\times (100+gain\%)}{100}$
$=\frac{170\times (100+20)}{100}=\frac{170\times 120}{100}=Rs.204$
$\therefore$ Marked Price (M.P) $=\frac{S.P\times 100}{100-discount\%}$
$=Rs.\frac{204\times 100}{100-15}=Rs.\frac{204\times 100}{85}=Rs.240$