SSC CGL 2024 Tier-I · 11 September 2024, Shift 2 · Quantitative Aptitude · Question 25 of 100

Text as printed on a candidate's response sheet for this shift; answer per SSC's tentative key as marked on that sheet. Solution last reviewed 6 September 2026.

Where this paper and its answers come from

SSC does not publish CGL question papers or a public answer key. The questions and options here are reproduced as printed on a candidate's own response sheet for this shift — the Commission's text, unchanged. Each answer is SSC's tentative key as marked on that sheet; SSC allowed challenges to it and never publishes a final key. The solutions are written by UnlockIAS.

How many years will it take for ₹8,400 to amount to ₹11,928 at a simple interest rate of 7% per annum?

(a)6
(b)2
(c)8
(d)5

Answer

Why

Correct — A. Simple interest adds the same amount every year, so find one year's interest and divide into the total.

Interest earned = 11,928 − 8,400 = ₹3,528
One year's interest = 7% of 8,400 = ₹588
Years = 3,528 ÷ 588 = 6

The same result from the formula:
T = SI × 100 ⁄ (P × R)
= 3,528 × 100 ⁄ (8,400 × 7)
= 3,52,800 ⁄ 58,800 = 6 → option (a).

Why the others are wrong

(b)
2 — 2 years earns 2 × 588 = ₹1,176, giving an amount of ₹9,576. That is nearly ₹2,400 short of the ₹11,928 the question requires.
(c)
8 — 8 years earns 8 × 588 = ₹4,704, giving an amount of ₹13,104. That overshoots ₹11,928 by ₹1,176, which is two years of interest too many.
(d)
5 — 5 years earns 5 × 588 = ₹2,940, giving ₹11,340. It falls ₹588 short — exactly one more year's interest, which is the near-miss this option is built for.

Concept

The question hands you the amount, not the interest, so the first line of any correct solution is a subtraction: SI = A − P.

After that, simple interest is flat. At 7% on a principal of ₹8,400 the interest is ₹588 every year, because simple interest is never charged on interest already earned.

So the number of years is just how many ₹588 fit inside ₹3,528. The formula T = SI × 100 ⁄ (P × R) is that same division written out.

₹11,928 is 142% of ₹8,400. Since simple interest adds 7 percentage points a year, the extra 42 points divided by 7 gives 6 years without touching the rupee figures at all.

Key facts

Simple interest is SI = P × R × T ⁄ 100, and the amount is A = P + SI.
At 7% on ₹8,400 the interest is a flat ₹588 in every year of the term.
₹11,928 equals 142% of ₹8,400, and 42 ÷ 7 = 6 gives the time directly.

Study next

Rearranging SI = PRT ⁄ 100 for rate or for timeAmount as a percentage of principal under simple interestSimple interest against compound interest over the same term

Common traps

Putting the amount ₹11,928 into the formula in place of P or of SI.
Dividing ₹11,928 by ₹588 instead of dividing the interest ₹3,528.
Reaching for the compound-interest formula when the question says simple interest.

This stem quotes the amount, ₹11,928, and leaves you to extract the interest by subtraction. Quant Q.3 of this shift (11 Sep 2024, 12:30) is also built on an interest rate, there an 8% cost of borrowing.

Related PYQs

No directly related past PYQ was found.