A television set listed at Rs. 3200 is sold to retailer at successive…
2025
A television set listed at Rs. 3200 is sold to retailer at successive discounts of 25% and 15%. The retailer derives a profit of 20% of his cost price after allowing 10% discount to the customer. At what price did he list the television set?
- A.
Rs 2500
- B.
Rs 2040
- C.
Rs 2445
- D.
Rs 2720
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Correct answer: D
Step 1: Find the retailer’s cost price after successive discounts.
Retailer’s cost price = 3200 × 75% × 85% = 3200 × 0.75 × 0.85 = Rs. 2040.
Step 2: Find the net selling price that gives 20% profit on this cost.
Net selling price required = 2040 × 1.20 = Rs. 2448.
Step 3: Let the listed price be x. After a 10% discount the customer pays 90% of x, which must equal Rs. 2448.
0.90 × x = 2448 ⇒ x = 2448 ÷ 0.90 = Rs. 2720.
Answer: Rs. 2720