Question

Vineet calculates his profit percentage on the selling price while Roshan calculates his profit on the cost price. They find that difference of their profits is Rs. $275$. If the selling price of both of them are the same and Vineet gets $25\%$ profit and Roshan gets $15\%$ profit, then find their selling price

• A. Rs. $2100$
• B. Rs. $2300$
• C. Rs. $2350$
• D. Rs. $2250$

Answer 1

The correct option is B Rs. $2300$

Let the selling price of Vineet and Roshan be Rs.$x$.

Then Cost price of Vineet $=$ $\frac{125x}{100}$ cost price of Roshan $=$ $\frac{100x}{115}$
According to the question, we have

$(\frac{125x}{100}-x)-(x-\frac{100x}{115})=275$

$\Rightarrow \frac{25x}{100}-\frac{15x}{115}=275$
$\Rightarrow \frac{575x-300x}{2300}=275$

$\Rightarrow \frac{275x}{2300}=275$

$\Rightarrow x=2300$