By selling an article at 23/40 of its selling price, a shopkeeper loses 8%. If…
2023
By selling an article at 23/40 of its selling price, a shopkeeper loses 8%. If it is sold at 90% of its original selling price, then the profit percentage is —
- A.
35%
- B.
38%
- C.
40%
- D.
44%
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Correct answer: D
Solution: Let the original selling price be S and the cost price be C.
Selling at 23/40 of the original selling price causes an 8% loss, so (23/40)S = 0.92 C.
From this, C = (23/40)S ÷ 0.92 = (23/40) × (100/92) S = (115/184) S = 0.625 S.
Therefore S = 1.6 C. Selling at 90% of the original selling price is 0.9 S = 0.9 × 1.6 C = 1.44 C.
Profit% = (1.44 C − C) / C × 100 = 0.44 × 100 = 44%.
Answer: 44%.