Question

Roma sells two articles for Rs. $450$ each, making 25% profit on one and 25% loss on the other. Find the total C.P. of both the articles.

• A. $960$
• B. $920$
• C. $910$
• D. $900$

Answer 1

The correct option is A $960$

$\Rightarrow$ Selling price of two article is $Rs.450$ each.

$\Rightarrow$ First article makes $25\%$ profit.

$\Rightarrow$ Cost price of first article = $\frac{100}{100+Profit\%}\times S.P.$

$\Rightarrow$ Cost price of first article = $\frac{100}{100+25}\times 450=Rs.360$

$\Rightarrow$ Second article makes $25\%$ loss.

$\Rightarrow$ Cost price of Second article = $\frac{100}{100-loss\%}\times S.P.$

$\Rightarrow$ Cost price of second article = $\frac{100}{100-25}\times 450=Rs.600$

$\therefore$ Cost price of both articles = $Rs.360+Rs.600=Rs.960.$