Three partners invest Rs. 26,000, Rs. 34,000, and Rs. 10,000. If the total profit is Rs. 3,500, what is B’s share of profit?

Introduction / Context:
With equal time, profits divide in proportion to capitals invested. We calculate B’s fraction of the total capital and apply it to the total profit to get B’s share.

Given Data / Assumptions:

• Capitals: A = 26,000; B = 34,000; C = 10,000.
• Total profit = Rs. 3,500.
• Time period identical for all partners.

Concept / Approach:
B’s share = (B’s capital / total capital) * total profit.

Step-by-Step Solution:
Total capital = 26,000 + 34,000 + 10,000 = 70,000. B’s fraction = 34,000 / 70,000 = 17/35. B’s profit = 3,500 * (17/35) = 100 * 17 = Rs. 1,700.

Verification / Alternative check:
Remaining profit = 3,500 − 1,700 = 1,800 to be split between A and C in 26 : 10; this checks out proportionally.

Why Other Options Are Wrong:
Rs. 1,300 and Rs. 1,500 do not match 17/35 of 3,500. Rs. 500 is far too small.

Common Pitfalls:
Using percentages incorrectly or forgetting to sum all capitals before computing the fraction.

Final Answer:
Rs. 1700