Question

Vineet calculates his profit percentage on the selling price whereas Roshan calculates his profit on the cost price. They find that the 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

Answer: (B)

Rs. 2300

Answer 2

Let Roshan's C.P. be p rupees.
Profit $=15\%$ of $p=\frac{3p}{20}$
S.P. $=p+\frac{3p}{20}=\frac{23p}{20}$
Profit $\%$ on S.P.
$(\frac{3p}{20}\times\frac{20}{23p}\times100)\%=(\frac{300}{23})\%$
Let S.P. of each be x rupees. Then
(25$\%$ of x)−$(\frac{300}{23}\%$ of x$)$=275
⇒ $\frac{275}{23}x=$ 27500
⇒ x=$=\frac{27500\times23}{275}=2300$
$\therefore$ Selling price is 2300 rupees
The correct option is (B): Rs. 2300