A and B invest ₹ 3,000 and ₹ 4,000, respectively. A is paid ₹ 10 per month as remuneration for running the business; the remaining profit is split according to investments. If A receives ₹ 390 in total during the year, how much does B receive?

Introduction / Context: This is the same remuneration-then-split structure. Separate the manager's fixed amount from A's total, then allocate the remainder by the 3 : 4 investment ratio to find B's amount.

Given Data / Assumptions:

• A's remuneration = ₹ 120 per year.
• A's total receipt = ₹ 390 ⇒ A's share from remainder = 390 − 120 = ₹ 270.
• Remainder divided in 3 : 4 between A and B.

Concept / Approach: Let remainder = T. Then A's part = 3/7 * T = 270 ⇒ T = 630. Hence B gets 4/7 of T.

Step-by-Step Solution: T = 270 * (7/3) = ₹ 630. B's share = (4/7) * 630 = ₹ 360.

Verification / Alternative check: A total = 120 + 270 = ₹ 390; B = ₹ 360; remainder sum = 270 + 360 = 630, consistent.

Why Other Options Are Wrong: They do not follow from the 3 : 4 split of the computed remainder.

Common Pitfalls: Treating ₹ 390 as only A's split share or ignoring the fixed monthly remuneration.

Final Answer: ₹ 360