Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2023 (15.06.2023) Shift-II
If an article is sold for 2220, the percentage of profit earned by the shopkeeper is the same as the percentage of loss incurred on that article if it is sold for 1580. At what price should the article be sold so as to make a profit of 25%?
A2175
B2275
C2375 ✓ Correct
D2300
Correct answer: (C) 2375 — The article should be sold for 2375, so the answer is 2375.
Explanation
★The article should be sold for 2375, so the answer is 2375.
★If the profit at 2220 equals the loss at 1580, the cost price sits midway between them.
★So the profit amount 2220 minus cost equals the loss amount cost minus 1580.
★Adding these gives twice the cost equal to 2220 plus 1580, which is 3800.
★So the cost price is 1900.
★For a 25% profit the selling price is 1900 times 1.25.
★This equals 2375.
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