Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (21.08.2024) Shift-II
Three successive discounts of 10%, 20% and 30% on the marked price of an item are equivalent to a single discount of:
A60%
B50.4%
C54.6%
D49.6% ✓ Correct
Correct answer: (D) 49.6% — The three discounts equal a single discount of 49.6 percent, so that is the answer.
Explanation
★The three discounts equal a single discount of 49.6 percent, so that is the answer.
★A 10 percent discount leaves 90 percent of the price.
★A 20 percent discount then leaves 80 percent of that, and a 30 percent discount leaves 70 percent.
★So the price becomes 0.9 times 0.8 times 0.7 of the marked price.
★That product is 0.504, meaning 50.4 percent of the price remains.
★So the single discount is 1 minus 0.504, which is 49.6 percent.
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