Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (09.07.2022) Shift-II
What will be a single discount equivalent to a series of discounts of 10 percent, 20 percent and 30 percent?
A50.40 percent
B49.6 percent ✓ Correct
C20 percent
D45 percent
Correct answer: (B) 49.6 percent — The single equivalent discount is 49.6 percent.
Explanation
★The single equivalent discount is 49.6 percent.
★Apply the discounts one after another to a starting price of 100.
★A 10 percent discount leaves 90.
★A 20 percent discount on 90 leaves 72.
★A 30 percent discount on 72 leaves 50.4.
★So the final price is 50.4, meaning the total discount is 100 minus 50.4, or 49.6 percent.
★Successive discounts multiply the remaining fractions rather than simply adding up.
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