Tarun bought a TV with a 20% discount on the listed price. Had he received a 25% discount, he would have saved Rs. 500. What purchase price did he pay?
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Answer: B. Rs. 10000
Explanation
The difference between the two discount percentages equals five percent of the total listed price. This five percent difference corresponds directly to the savings amount of five hundred specified in the problem. Dividing five hundred by zero point zero five gives a listed price of ten thousand, confirming the calculation base. Discount percentages are calculated against the marked retail price of an item rather than its purchase cost. The difference between two discount rates applied to the same item equals the percentage savings on the list price. Algebraic proportion allows the original listed price to be recovered from a known fractional discount difference.
Option A represents half of the correct listed price value derived from the discount difference equation. Option C overestimates the listed price because five percent of it would exceed the five hundred savings. Option D yields a savings amount much higher than five hundred when tested against the five percent difference.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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