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 30 articles.

• A. Profit = $33\frac{1}{3}$%
• B. Profit = $55$%
• C. Profit = $100$%
• D. Profit = $73\frac{1}{3}$%

Answer 1

The correct option is C Profit = $100$%

Let cost price of an article $=XRs$

Cost price for 15 articles $=15XRs$

Selling price for 15 articles = Cost Price of 30 articles $=30XRs$ ( Given)

So, $Profit=Sellingprice-Costprice=30X-15X=15XRs$

$\therefore Profitpercentage=\frac{profit\times 100}{Costprice}=\frac{15X\times 100}{15X}=100\%$