Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2023 (14.12.2023) Shift-II
A sells an article to B at 20% profit. B sells it to C at 15% loss. If C pays Rs 510 for it, then A purchased it at:
ARs 480
BRs 490
CRs 500 ✓ Correct
DRs 520
Correct answer: (C) Rs 500 — A purchased the article at Rs 500, so that is the answer.
Explanation
★A purchased the article at Rs 500, so that is the answer.
★Let A's cost price be x.
★A sells at 20 percent profit, so B pays x times 120 over 100.
★B sells at 15 percent loss, so C pays that amount times 85 over 100.
★This gives x times 120 over 100 times 85 over 100 equal to 510.
★Solving gives x equal to Rs 500.
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