Paper 1 · Data Interpretation
UGC NET December 2023 (13.12.2023) Shift-II
Passage
The following table shows the number of employees working in five different colleges A to E, along with the ratio of Males to Females (M:F) among them. Based on the data in the table, answer the questions that follow.
College A: 3040 employees, ratio 13:6.
College B: 3360 employees, ratio 4:3.
College C: 2920 employees, ratio 9:11.
College D: 2760 employees, ratio 10:13.
College E: 2840 employees, ratio 13:7.
If the rate of interest received by A and C is in the ratio 2:3, then the money invested by C will get doubled in how many years?
A12 and half
B15 and one-seventh
C13 and one-third
D11 and one-ninth ✓ Correct
Correct answer: (D) 11 and one-ninth — The money invested by C will double in 11 and one-ninth years.
Explanation
★The money invested by C will double in 11 and one-ninth years.
★A's rate is 6 percent, and the ratio of A's rate to C's rate is 2 to 3.
★So C's rate is 6 times 3 over 2, which is 9 percent.
★For the sum to double on simple interest, the interest must equal the principal.
★This needs the rate times the time to equal 100.
★So the time is 100 over 9, which is 11 and one-ninth years.
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