Question

The list price of an article is Rs. 800 and is available at a discount of 15 percent. Find : (i) the selling price of the article; (ii) the cost price of the article. if a profit of 13$\frac{1}{3}$% is made on selling it.

Answer 1

List price of the article = Rs. 800
Discount @ 15% = $\frac{15}{100}\times Rs.800=Rs.120$
(i) S.P. of the article = Rs. 800 - Rs.120
=Rs.680
(ii) S.P. of the article = Rs. 680
Profit = $13\frac{1}{3}$%
C.P. = $\frac{100}{100+Profit}\times S.P.$
= $\frac{100}{100+\frac{40}{3}}\times$ Rs.680
= $\frac{100}{\frac{340}{3}}\times Rs.680$
= $\frac{3}{340}\times 100\times 680=3\times 100\times 2$
= Rs. 600