Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2023 (21.06.2023) Shift-II
Find a single discount equivalent to a series of discounts of 20 percent, 10 percent and 5 percent.
A30%
B31.6% ✓ Correct
C30.6%
D32%
Correct answer: (B) 31.6% — The single equivalent discount is 31.6 percent, so the answer is 31.6 percent.
Explanation
★The single equivalent discount is 31.6 percent, so the answer is 31.6 percent.
★Apply the three discounts one after another to a price of 100.
★After 20 percent off, the price is 80 percent of 100.
★After a further 10 percent off, it is 90 percent of that.
★After a further 5 percent off, it is 95 percent of that.
★So the final price is 100 times 0.8 times 0.9 times 0.95, which is 68.4.
★The total discount is 100 minus 68.4, which is 31.6 percent.
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