Question

By selling a bicycle for ₹ 9,164, a shopkeeper earned a profit of 16%. If he sells it for ₹ 9,875, then find the profit percentage.

• A. 20%
• B. 25%
• C. 30%
• D. 28%

Answer 1

The correct option is B 25%

Selling price = ₹ 9,164
Profit made = 16%

Let cost price = x

$\therefore x+\frac{16x}{100}=9,164$

$\Rightarrow x+\frac{4x}{25}=9,164$

$\Rightarrow 29x=9,164\times 25$

$\Rightarrow x=\frac{9,164\times 25}{29}$

$\Rightarrow x=316\times 25$
$\Rightarrow x=₹7,900$

If, S.P = ₹ 9,875
$\therefore \text{Profit}=₹9,875-₹7,900=₹1,975$

$\Rightarrow \text{Profit\%}=\frac{1,975}{7900}\times 100$

$\Rightarrow \text{Profit\%}=\frac{1}{4}\times 100$

$\Rightarrow \text{Profit\%}=25\text{\%}$