Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (13.10.2022) Shift-I
Given below are two statements. Statement I: A man sells his goods at 10 percent profit; if he sells them at 15 percent profit he gets Rs. 160 more, so the cost price of his goods is Rs. 4200. Statement II: A man spends 80 percent of his earnings; his earnings increase by 25 percent and his expenses by 20 percent, so his savings increase by 45 percent. In the light of the above statements, choose the correct answer from the options given below.
- Statement I: Selling at 10 percent versus 15 percent profit gives Rs. 160 more, so the cost price is Rs. 4200.
- Statement II: A man spends 80 percent of earnings; earnings rise 25 percent and expenses 20 percent, so savings rise 45 percent.
ABoth Statement I and Statement II are true
BBoth Statement I and Statement II are false
CStatement I is true but Statement II is false
DStatement I is false but Statement II is true ✓ Correct
Correct answer: (D) Statement I is false but Statement II is true — The answer is that Statement I is false but Statement II is true.
Explanation
★The answer is that Statement I is false but Statement II is true.
★A 5 percent difference in profit on a cost price of 4200 gives 210, not 160.
★So the stated cost price does not fit, making Statement I false.
★Taking earnings as 100, expenses are 80 and savings 20.
★After the rise, earnings are 125 and expenses 96, so savings are 29, which is a 45 percent increase, making Statement II true.
★Thus one statement is false and the other is true.
★So the answer is that Statement I is false but Statement II is true.
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