Question

On selling a mobile phone for ₹ 9000, a shop keeper gets a profit of 5%. Find the cost price of the mobile phone.

• A. ₹ 8230
• B. ₹ 8571
• C. ₹ 8550
• D. ₹ 7500

Answer 1

The correct option is B ₹ 8571

Let the cost price of the mobile phone be ₹ $x$.
On selling the mobile at a 5% profit, the selling price will be
$x+$ 5% of $x$ $=x+\frac{5x}{100}.$

According to the provided data,
$x+\frac{5x}{100}=9000\Rightarrow \frac{100x+5x}{100}=9000\Rightarrow \frac{105x}{100}=9000\Rightarrow 105x=9000\times 100\Rightarrow x=\frac{900000}{105}\Rightarrow x\approx 8571$

Therefore, the cost price of the mobile phone is ₹ 8571.