A merchant sold an article at 10% loss. If he had sold it Rs 450 more, 8%…
2025
A merchant sold an article at 10% loss. If he had sold it Rs 450 more, 8% would have been gained on the cost price. Find the cost price?
- A.
1500
- B.
1200
- C.
2500
- D.
1800
Attempted by 30 students.
Show answer & explanation
Correct answer: C
Solution: Let the cost price be x.
Selling price at 10% loss = 0.9x.
If the article is sold for Rs 450 more, new selling price = 0.9x + 450. This new price is given to be an 8% gain on cost, i.e. 1.08x.
Set up the equation: 0.9x + 450 = 1.08x. Rearranging gives 450 = 1.08x - 0.9x = 0.18x, so x = 450 / 0.18 = 2500.
Therefore the cost price is Rs 2500.