Question

A dealer allows $25\%$ discount on the marked price of articles and earns a profit of $20\%$ on them. What is the marked price of the article on which he gains $\text{Rs.}800$ ?

• A. Rs.$6000$
• B. Rs.$6400$
• C. Rs.$7200$
• D. Rs.$7000$

Answer 1

The correct option is B Rs.$6400$

Let the M.P.=$\text{Rs.}100$

Discount $=25\%$

$\therefore \text{S.P.}=\text{Rs.}75$

$\text{Profit}=20\%$

$\text{C.P.}=\text{Rs.}\frac{75\times 100}{120}=\text{Rs.}62.50$

$\therefore \text{Profit}=\text{Rs.}75-\text{Rs.}62.50=\text{Rs.}12.50$

If the gain is Rs. 12.50, M.P.$=\text{Rs.}100$

If the gain is Rs.800, M.P.$=\text{Rs.}\frac{100}{12.50}\times 800=\text{Rs.}6400$