Q. A trader sells an article at 20% profit. If he had purchased it for 10% less and sold it for ₹30 less, his profit would have been 25%. Find the original cost price.
✅ Correct Answer: (B)
₹500
Explanation: Let CP = x. Original SP = 1.2x. New CP = 0.9x and new SP = 1.2x - 30. Given 1.2x - 30 = 1.25 × 0.9x = 1.125x. Therefore, 0.075x = 30, so x = ₹400. Thus, the correct answer is ₹400.
Explanation by: Krishna Sharma
Let CP = x. Original SP = 1.2x. New CP = 0.9x and new SP = 1.2x - 30. Given 1.2x - 30 = 1.25 × 0.9x = 1.125x. Therefore, 0.075x = 30, so x = ₹400. Thus, the correct answer is ₹400.