SSC CGL 2025 Tier-II · Paper-I, 19 January 2026 · Mathematical Abilities · Question 28 of 150

We transcribed this text from the pictures of a candidate's response sheet for this paper; the answer is the key SSC marked with a green tick on that sheet. Solution last reviewed 11 September 2026.

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SSC does not publish CGL question papers or a public answer key. This paper reaches us as a candidate's response sheet saved as pictures, so we transcribed the text from those pictures, and a second reader checked every question against them; where the layout carries meaning, we show the picture too. Each answer is the key SSC marked with a green tick on that sheet. SSC released a tentative key for challenge and later its final one, both only to candidates behind a login, and the sheet does not say which of the two it carries. UnlockIAS wrote the solutions.

A sum of Rs. 4800 is divided among A, B, and C in the ratio 3 : 4 : 5. The share of B is how much more than that of A?

(a)Rs. 500
(b)Rs. 200
(c)Rs. 400
(d)Rs. 300

Answer

Why

Correct — C. Turn the sum into the value of one ratio part.

Total parts: 3 + 4 + 5 = 12
One part: 4800 ÷ 12 = Rs. 400

B − A in parts: 4 − 3 = 1 part
1 part = Rs. 400 → option (c)

Check: A = 3 × 400 = 1200, B = 4 × 400 = 1600, and 1600 − 1200 = 400.

Why the others are wrong

(a)
Rs. 500 — Rs. 500 as one part would make the whole sum 12 × 500 = Rs. 6000, not Rs. 4800. B exceeds A by exactly one part.
(b)
Rs. 200 — Rs. 200 as one part would make the sum 12 × 200 = Rs. 2400, half the given Rs. 4800.
(d)
Rs. 300 — Rs. 300 as one part would make the sum 12 × 300 = Rs. 3600. Rs. 4800 shared into 12 parts gives Rs. 400 a part.

Concept

Dividing a sum in the ratio 3 : 4 : 5 splits it into 12 equal parts: A gets 3, B gets 4 and C gets 5.

Any difference between two shares is a whole number of parts, so find one part first: sum ÷ total parts.

Here B − A = 1 part = Rs. 400, and C − A would be 2 parts = Rs. 800.

The ratio alone fixes B − A as 1⁄12 of the total, so the shares themselves never need to be written out.

Key facts

Share of one person = (their ratio term ÷ sum of the terms) × total.
Difference between two shares = (difference of their ratio terms) × value of one part.
Shares here: A = Rs. 1200, B = Rs. 1600, C = Rs. 2000.

Study next

Finding the total from a given difference between two sharesPartnership: profit shared in the ratio of capital × timeCombining A : B and B : C into one ratio A : B : C

Common traps

Dividing by 3, the number of people, instead of 12, the number of parts.
Giving B's whole share, Rs. 1600, when the question asks how much more B gets than A.

The one-part step runs in reverse at 19 Jan 2026, 11:00 AM, Maths Q.15, where C exceeding B by ₹18,000 fixes the value of a part, and at 15 Sep 2025, 16:00, Quant Q.2 a ₹36,000 bonus is split 4 : 5 : 3 before a second split.

Related PYQs

No directly related past PYQ was found.

Topic: Ratio & Proportion — all 66 SSC CGL questions on it, every solved shift.