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An article was sold at 10% profit. If it had been sold at Rs 26 more…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET December 2023 (13.12.2023) Shift-II
An article was sold at 10% profit. If it had been sold at Rs 26 more than the selling price, the profit would have been 15%. The cost price of the article is:
ARs 480
BRs 500
CRs 510
DRs 520 ✓ Correct
Correct answer: (D) Rs 520 — The cost price of the article is Rs 520, so that is the answer.
Explanation
The cost price of the article is Rs 520, so that is the answer.
Let the cost price be x.
At 10 percent profit the selling price is 110 percent of x.
At 15 percent profit the selling price is 115 percent of x.
The difference between these is 5 percent of x, which equals Rs 26.
So x is 26 times 100 over 5, that is Rs 520.

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