Question

The cost price of an article is 25% below the marked price. If the article is available at 15% discount and its cost price is Rs. 2,400; find : (i) its marked price (ii) its selling price (iii) the profit percent.

Answer 1

Let M.P. of an article = Rs. 100
$\therefore$ Cost price = $\frac{100\times (100-25)}{100}$
= Rs. $\frac{100\times 75}{100}=Rs.75$
Discount = 15%
$\therefore$ S.P. = Rs. 100-15 = Rs. 85
But cost price = Rs. 2400
(i) $\therefore$ Marked price = Rs. $2400\times \frac{100}{75}=Rs.32\times 100=Rs.3200$
(ii) and S.P. = Rs. $\frac{3200\times 85}{100}=Rs.2720$
(iii) Profit = S.P. - C.P. = Rs.2720 -2400 = Rs. 320
$\therefore$ Profit% = $\frac{Profit\times 100}{C.P.}=\frac{320\times 100}{2400}$
= $\frac{40}{3}$% = $13\frac{1}{3}$%