Question:

\(P\) sells a table to \(Q\) at a profit of 10% and \(Q\) sells it to \(R\) at a profit of 12%. If \(R\) pays Rs. 246.40 for it, then how much had \(P\) paid for it?

Show Hint

For successive profits, multiply the profit factors (1 + rate) sequentially, then work backwards from the final price.
Updated On: Aug 11, 2025
  • 200.00
  • 300.00
  • 245.00
  • 346.00
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

Let the cost price for \(P\) be \(x\).
\(P\) sells to \(Q\) at a 10% profit: Selling price to \(Q\) = \(x \times 1.10\).
\(Q\) sells to \(R\) at a 12% profit: Selling price to \(R\) = \(x \times 1.10 \times 1.12\).
Given: Selling price to \(R\) = Rs. 246.40.
So, \(x \times 1.10 \times 1.12 = 246.40\).
\(x \times 1.232 = 246.40\).
\(x = \frac{246.40}{1.232} = 200\).
Thus, \(P\) originally paid Rs. 200 for the table.
Was this answer helpful?
0
0

Questions Asked in CLAT exam

View More Questions