A man says that he gained 10 percent as profit in selling cloth material. He…
2025
A man says that he gained 10 percent as profit in selling cloth material. He says if he had purchased the same one 10 percent cheaper than it was actual and if he had sold it for 20% profit he gets 25 paisa less. Find at what price he sold the suit ?
- A.
10 rupee
- B.
12.5 rupee
- C.
15 rupee
- D.
17.5 rupee
Attempted by 4 students.
Show answer & explanation
Correct answer: B
Solution:
Let the actual cost price be x rupees.
Selling at 10% profit gives the selling price = 1.10x.
If he had bought it 10% cheaper, the cost would be 0.9x; selling that at 20% profit gives 1.20×0.9x = 1.08x.
The problem states this alternate selling price is 0.25 rupee less than the original selling price, so:
1.08x = 1.10x − 0.25
Rearrange: 0.02x = 0.25 ⇒ x = 0.25 / 0.02 = 12.5 rupees.
Therefore the cost price is 12.5 rupees. The original selling price at 10% profit is 1.10 × 12.5 = 13.75 rupees.