Final answer:
The question is about calculating profits based on different bases—selling price and cost price—and solving for the common selling price, given that their profit difference is Rs. 27 and they both make percentages of profit on their respective bases.
Step-by-step explanation:
The student is asking about a problem that involves calculating profit percentages on different bases—selling price for Vineet and cost price for Roshan. To find the selling price where Vineet makes a 25% profit based on the selling price and Roshan makes a 15% profit based on the cost price, we will set up an equation. Given that the difference in their profits is Rs. 27 and they both have the same selling price, we can express the profits in terms of the selling price (SP) and then solve for SP.
Let's use the information provided to formulate equations representing each person's profit:
- Vineet's Profit = 0.25 × SP
- Roshan's Profit = 0.15 × (SP ÷ 1.15) (since the selling price is 15% more than his cost)
Using the difference in profits, we can set up the equation:
0.25 × SP - 0.15 × (SP ÷ 1.15) = 27
By solving this equation, we can determine the selling price, which will allow us to answer the student's question.