Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2023 (22.06.2023) Shift-II
A dealer marks his goods 25 percent above the cost price and then allows a 10 percent discount on it. What is the cost price of an article on which the gain is Rs 50?
ARs 350
BRs 380
CRs 400 ✓ Correct
DRs 425
Correct answer: (C) Rs 400 — The cost price is Rs 400, so the answer is Rs 400.
Explanation
★The cost price is Rs 400, so the answer is Rs 400.
★Let the cost price be x.
★The marked price is 25 percent above cost, which is 5x by 4.
★A 10 percent discount leaves 90 percent of the marked price.
★So the selling price is 5x by 4 times 90 by 100, which is 9x by 8.
★The gain of 50 means 9x by 8 equals x plus 50, giving x by 8 equal to 50.
★So x equals 400, and the cost price is Rs 400.
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