Skip to main contentSkip to solution

X and Y are partners sharing profits in the ratio 3:2. Capital introduced by X and Y is ₹ 1,00,000 and ₹ 5,00,000 respectively. Interest on capital is allowed to partners @ 10%p.a. Profit of the firm for the year ending March 31st, 2025 is ₹ 30,000. Calculate Interest on Capital to be allowed to the partners.

Solution

✅ Correct Option: 3

Interest on capital calculated at 10% p.a.:

X's Capital: ₹1,00,000 × 10/100 = ₹10,000

Y's Capital: ₹5,00,000 × 10/100 = ₹50,000

Total Interest on Capital = ₹10,000 + ₹50,000 = ₹60,000


Since the total interest on capital (₹60,000) exceeds the available profit (₹30,000), the profit is insufficient to pay full interest.

When profit is insufficient, the available profit must be distributed as interest on capital in the ratio of interest entitlement, not in the profit-sharing ratio.

Ratio of interest entitlement = 10,000 : 50,000 = 1 : 5


Distribution of ₹30,000 in the ratio 1:5:

Sum of ratio = 1 + 5 = 6

Interest on Capital allowed to X = 30,000 × 16\frac{1}{6} = ₹5,000

Interest on Capital allowed to Y = 30,000 × 56\frac{5}{6} = ₹25,000

The key point here is that when profits are inadequate to cover the full interest on capital, partners receive interest proportionate to their interest entitlement, not their profit-sharing ratio. This ensures fair distribution based on the capital contributed by each partner.

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question