A person took a gym membership plan that allowed them to pay the total cost in equal monthly installments without any extra fee. After paying 12 installments, they realized that they had already paid 75% of the total amount.

Consider the following statements:
Statement I: The total number of monthly installments in the full plan is 18.
Statement II: 6 installments are remaining in the plan.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

A person took a gym membership plan that allowed them to pay the total cost in equal monthly installments without any extra fee. After paying 12 installments, they realized that they had already paid 75% of the total amount.

Consider the following statements:
Statement I: The total number of monthly installments in the full plan is 18.
Statement II: 6 installments are remaining in the plan.

Select the correct answer from the options below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Let the total number of installments be x.
12 installments = 75% of total &rarr; 12/x = 75/100 =3/4
Solving: x = 12 &times; 4/3 =16
Remaining installments = 16 &ndash; 12 = 4
Statement I: Incorrect
Statement II: Incorrect
Hence, option d is correct.

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M Question 1	⏱ 0
A person took a gym membership plan that allowed them to pay the total cost in equal monthly installments without any extra fee. After paying 12 installments, they realized that they had already paid 75% of the total amount. Consider the following statements: Statement I: The total number of monthly installments in the full plan is 18. Statement II: 6 installments are remaining in the plan. Select the correct answer from the options below: (a) Only Statement I is correct. (b) Only Statement II is correct. (c) Both Statements I and II are correct. (d) None of the Statements is correct.