Question

7. When an article is sold for Rs. 595,there is a loss of 15%. To gain 23%, itshould be sold for :(A) Rs. 850(B) Rs. 921(C) Rs. 795(D) Rs. 861​

Answer 1

Given :

Selling price of an article : ₹595

Loss percentage : 15%

To find :

The selling price if sold at a gain of 23%

Solution :

To find the new selling price of the article, first we should find the cost price of that article.

Cost price of the article :

$\sf \dashrightarrow \dfrac{100}{(100 - Loss\%)} \times SP$

$\sf \dashrightarrow \dfrac{100}{(100 - 15)} \times 595$

$\sf \dashrightarrow \dfrac{100}{85} \times 595$

$\sf \dashrightarrow \dfrac{20}{17} \times 595$

$\sf \dashrightarrow \dfrac{20 \times 595}{17} = \dfrac{11900}{17}$

$\sf \dashrightarrow \cancel \dfrac{11900}{17} = 700$

Now, we can find the new selling price of the article.

New selling price of the article :

$\sf \dashrightarrow \dfrac{(100 + Gain\%)}{100} \times CP$

$\sf \dashrightarrow \dfrac{(100 + 23)}{100} \times 700$

$\sf \dashrightarrow \dfrac{123}{100} \times 700$

$\sf \dashrightarrow \dfrac{123 \times 700}{100} = \dfrac{86100}{100}$

$\sf \dashrightarrow \cancel \dfrac{86100}{100} = 861$

Hence, the selling price of the article if sold at 23% is ₹861.

Thus, Option (D) is the correct option.