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A trader sells an article at a profit of 20%. Had he bought it at 10%…

Paper 1 · Mathematical Reasoning and Aptitude
A trader sells an article at a profit of 20%. Had he bought it at 10% more and sold it for Rs 700 more, he would have earned a profit of 25%. Find the cost price.
ARs 5000
BRs 4000 ✓ Correct
CRs 3800
DNone of the above
Correct answer: (B) Rs 4000 — The cost price is Rs 4000, so that is the answer.
Explanation
The cost price is Rs 4000, so that is the answer.
Let the cost price be x, so the original selling price is 1.2x.
The new cost price is 1.1x, and a 25% profit on it is 1.25 times 1.1x, which is 1.375x.
The new selling price is Rs 700 more than the old, so 1.375x equals 1.2x plus 700.
This gives 0.175x equal to 700, so x is 4000.
So the cost price is Rs 4000.

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