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A shopkeeper first increases the price of an item by 12% and then announces a discount…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET June 2024 Re-Exam (22.08.2024) Shift-II
A shopkeeper first increases the price of an item by 12% and then announces a discount of 20%. What is the actual discount on the original price? (The paper keys this to 12.4%; note that the direct computation of a 12% rise followed by a 20% discount gives about 10.4%.)
A12.6%
B12.4% ✓ Correct
C14.2%
D12%
Correct answer: (B) 12.4% — The paper keys the actual discount to 12.4 percent, so that is the answer.
Explanation
The paper keys the actual discount to 12.4 percent, so that is the answer.
Take the original price as 100.
A 12 percent increase raises it to 112.
A 20 percent discount on 112 leaves 89.6.
The direct fall from 100 to 89.6 is 10.4 percent, which the printed options do not list.
Among the given options the paper marks 12.4 percent as the answer.

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