Question

Find the profit per cent or loss per cent made when the S.P. of 15 identical articles is equal to the C.P. of 25 articles.

• A. Profit = $66\frac{2}{3}$%
• B. Profit = $33\frac{1}{3}$%
• C. Profit = $50$%
• D. Loss = $33\frac{1}{3}$%

Answer 1

Answer: (A)

Profit = $66\frac{2}{3}$%

Let the cost price of an article $=Rs.X$

Cost price for 15 articles $=Rs.15X$

Given: Selling price for 15 articles = Cost Price of 25 articles $=Rs.25X$

So, Profit $=$ Selling price $-$ Cost price

$=25X-15X$

$=Rs.10X$

$\therefore$ Profit percent $=\frac{profit\times 100}{Costprice}$

$=\frac{10X\times 100}{15X}$

$=\frac{200}{3}$

$=66\frac{2}{3}\%$