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Which of the following is/are true? Choose the correct answer from the options given below.

Paper 1 · Mathematical Reasoning and Aptitude UGC NET June 2024 Re-Exam (29.08.2024) Shift-I
Which of the following is/are true? Choose the correct answer from the options given below.
  • 1. If the selling price of an article is Rs.40 and the profit is 15%, then the cost price is Rs.32.
  • 2. A person bought a toy for Rs.150 and sold it at 8% profit; he sold it for Rs.162.
  • 3. A person bought a bicycle for Rs.500 and sold it for Rs.400, incurring a loss of 22%.
  • 4. If the selling price of an article is Rs.210 and the loss is 30%, then the cost price is Rs.300.
A1 only
B1, 4 only
C2, 4 only ✓ Correct
D2, 3 only
Correct answer: (C) 2, 4 only — Statements 2 and 4 are true, so that is the answer.
Explanation
Statements 2 and 4 are true, so that is the answer.
For statement 2, Rs.150 at 8 percent profit gives 150 times 1.08, which is 162.
For statement 4, a 30 percent loss on Rs.300 gives a selling price of 210.
Statement 1 gives a cost price of about 34.78, not 32.
Statement 3 gives a loss of 20 percent, not 22.
Hence 2 and 4 is correct.

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