Question

The cost of 15 articles is equal to the selling price of 12 articles. Find the profit per cent.

• A. 55%
• B. 45%
• C. 35%
• D. 25%

Answer 1

The correct option is D 25%

Let the cost price (CP) of 15 articles be ₹100
CP of 1 article = ₹$\frac{100}{15}$
Selling price (SP) of 12 articles = ₹100
SP fo 1 article = ₹$\frac{100}{12}$
SP > CP

$\therefore$ Profit on 1 article = ₹ $\frac{100}{12}-₹\frac{100}{15}$

= ₹ $\frac{500-400}{60}$

= ₹ $\frac{100}{60}$

$\therefore$ Profit percent = $\frac{Profit}{CP}\times 100$

= $\frac{\frac{100}{60}}{\frac{100}{15}}\times 100$

= $\frac{100}{60}\times \frac{15}{10}\times 100$

= 25%
Hence, profit = 25%