SSC CGL 2025 Tier-I · 13 September 2025, Shift 2 · Quantitative Aptitude · Question 6 of 100

We transcribed this text from the pictures on a candidate's response sheet for this shift; the answer is the key SSC colour-marked on that sheet. Solution last reviewed 13 September 2026.

Where this paper and its answers come from

SSC does not publish CGL question papers or a public answer key. From 2025 the candidate response sheet prints every question and option as a picture, so the text here is transcribed from those pictures for this shift and checked against them independently; where the layout carries meaning, the picture is shown as well. Each answer is the key SSC colour-marked 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. The solutions are written by UnlockIAS.

A invests ₹20,000, while B invests ₹30,000. A receives an additional 20% for management. The total profit is ₹60,000. What is A's share?

(a)₹51,200
(b)₹41,200
(c)₹31,200
(d)₹21,200

Answer

Why

Correct — C. Take A's management pay out of the profit first, then split the rest in the capital ratio.

Management pay: 20% of 60,000 = 12,000
Remaining profit: 60,000 − 12,000 = 48,000
Capital ratio A : B = 20,000 : 30,000 = 2 : 3
A's capital share: 48,000 × 2⁄5 = 19,200

A's total: 12,000 + 19,200 = 31,200 → option (c)

Why the others are wrong

(a)
₹51,200 — It leaves B only 8,800 of the 60,000, but B is owed 3⁄5 of the remaining 48,000, which is 28,800.
(b)
₹41,200 — Take away the 12,000 fee and A's capital share would be 29,200, more than half of 48,000. A holds only 2⁄5 of the capital, so that share is 19,200.
(d)
₹21,200 — It is below 24,000, A's share with no management pay at all (2⁄5 × 60,000). Pay for managing can only raise A's share.

Concept

When one partner is paid for managing the business, that pay comes out of the profit first. Only what remains is divided in the ratio of capital × time.

So A is paid in two parts, the management pay and a capital share of the remainder, while B receives only a capital share.

The stem says only 'an additional 20% for management', not 20% of what. Taking it as 20% of the total profit, paid before the split, gives 31,200, the keyed option.

Reading it as a 20% bonus on A's capital weight (2.4 : 3) gives about 26,667, which no option matches.

Key facts

Management pay is taken from the total profit before the capital split.
Here A gets 12,000 for managing, and the 48,000 left is split 2 : 3 as 19,200 and 28,800.
Check: A's 31,200 + B's 28,800 = 60,000.

Study next

Working-partner problems where the salary is a fixed rupee amount per monthPartnerships where both capital and time differFinding the total profit from one partner's share

Common traps

Splitting the whole 60,000 in 2 : 3 and forgetting the management pay, which gives A only 24,000.
Adding 20% to A's ordinary share (24,000 × 1.2 = 28,800) instead of paying 20% of the total profit first.

A managing fee taken off the top also appears at 21 Sep 2025, 16:00, Quant Q.7, where A takes 10% for managing and the remaining 90,000 is split by capital.

Related PYQs

No directly related past PYQ was found.

Topic: Profit and Loss — all 87 SSC CGL questions on it, every solved shift.