Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (29.08.2024) Shift-II
Which of the following statements are correct? Choose the correct answer from the options given below.
- 1. A single discount equivalent to successive discounts of 20%, 10% and 5% is 33%.
- 2. If an article is sold for Rs.209 after two successive discounts of 12% and 5%, then the original price is Rs.250.
- 3. If a shopkeeper gives two successive discounts of 5% on a marked price of Rs.80, the selling price is Rs.75.
- 4. The difference between a single discount of 35% and two successive discounts of 20% on a certain bill is Rs.22, so the total bill is Rs.2200.
A1, 2, 3 only
B1, 3 only
C2, 4 only ✓ Correct
D3, 4 only
Correct answer: (C) 2, 4 only — Statements 2 and 4 are correct, so that is the answer.
Explanation
★Statements 2 and 4 are correct, so that is the answer.
★Successive discounts of 12 and 5 percent give about 16.4 percent, so Rs.209 implies an original of Rs.250.
★Two successive 20 percent discounts equal 36 percent.
★The difference from a 35 percent discount is 1 percent, equal to Rs.22, so the bill is Rs.2200.
★Statements 1 and 3 do not check out on calculation.
★Hence 2 and 4 is correct.
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