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?

Difficulty: Medium

Correct Answer: ₹ 360

Explanation:


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

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