UPSC Prelims 2014·CSAT·Quantitative Aptitude·Arithmetic

As per agreement with a bank, a businessman had to refund a loan in some equal installments without interest. After paying 18 installments he found that 60 percent of his loan was refunded. How many installments were there in the agreement?

Dalvoy logo
Reviewed by Dalvoy
UPSC Civil Services preparation
Last updated 23 May 2026, 3:31 pm IST
  1. A22
  2. B24
  3. C30Correct
  4. D33

Explanation

Explanation: Let the total number of installments be 'X'. According to the problem, 18 installments represent 60 percent of the total loan. So, 60% of X = 18. To find X, we can set up the equation: (60/100) * X = 18 X = 18 * (100/60) X = 18 * (10/6) X = 3 * 10 X = 30 Thus, there were 30 installments in the agreement. Analyzing the options: A) 22: Incorrect. This number does not correspond to 60% being 18 installments. B) 24: Incorrect. This number does not correspond to 60% being 18 installments. C) 30: Correct. If the total is 30 installments, then 60% of 30 is (60/100) * 30 = 18 installments, which matches the given information. D) 33: Incorrect. This number does not correspond to 60% being 18 installments. The final answer is C.
Quantitative Aptitude: As per agreement with a bank, a businessman had to refund a loan in some equal installments without interest. After payi

Related questions

More UPSC Prelims practice from the same subject and topic.