By selling an article at 11/16 of its selling price, a shopkeeper loses 12%.…
2022
By selling an article at 11/16 of its selling price, a shopkeeper loses 12%. If he sells it at 90% of its original selling price, then what is the profit percentage?
- A.
22%
- B.
25%
- C.
40%
- D.
15.2%
Attempted by 29 students.
Show answer & explanation
Correct answer: D
Step 1: Set up the relationship between Cost Price (C) and original Selling Price (S).
Selling at 11/16 of S results in a 12% loss.
(11/16) × S = 0.88 × C
Step 2: Solve for the original Selling Price (S) in terms of C.
S = (0.88 × 16 / 11) × C
S = 0.08 × 16 × C = 1.28C. (The original selling price is 128% of the cost price).
Step 3: Calculate the new selling price and profit.
New Selling Price = 90% of S = 0.90 × 1.28C = 1.152C.
Profit = 1.152C - 1.00C = 0.152C.
Profit Percentage = 15.2%.
(Note: If the fraction in the question text were 11/20, Step 2 would be S = (0.88 × 20 / 11)C = 1.6C, and Step 3 would be 0.90 × 1.6C = 1.44C, leading exactly to 44%.)
Final Answer: Mathematical result is 15.2%