Numerical: Partnership MCQ — 15 Practice Questions with Answers

Explanation

The reason states the correct partnership rule: profit is shared according to capital × time. In the assertion, the final profit-sharing ratio is already given as 2:1, so Sita's fraction of the profit is 2 ÷ (2 + 1) = 2/3. Sita's share = 9000 × 2 ÷ 3 = ₹6000. Thus the assertion is true. The reason is also true and explains why a partnership profit is divided according to such a ratio. Therefore, both are true and the reason explains the assertion.

Explanation

For partnership profit, the relevant ratio is capital × time, not capital alone. Ajay's time product = 18000 × 12 = 216000. Vijay's time product = 24000 × 9 = 216000. Therefore the profit ratio is 216000:216000 = 1:1, so the assertion that their shares are equal is true. The reason also states the correct rule and correctly shows why the products are equal. Hence both the assertion and the reason are true, and the reason explains the assertion.

Explanation

For each case, profit is divided in the ratio of capital × time. In case 1, A:B = 15000 × 8 : 20000 × 8 = 120000:160000 = 3:4, so A's share = 42000 × 3/7 = ₹18000. In case 2, A:B = 10000 × 6 : 25000 × 6 = 2:5, so A's share = 42000 × 2/7 = ₹12000. In case 3, A:B = 25000 × 4 : 35000 × 4 = 5:7, so A's share = 42000 × 5/12 = ₹17500. Hence the correct matching is 1-₹18000, 2-₹12000, 3-₹17500.

Explanation

When capital changes during the year, use capital × time for each separate period. Amit's product = 36000 × 4 + 48000 × 8 = 144000 + 384000 = 528000. Bhavesh's product = 24000 × 6 + 18000 × 6 = 144000 + 108000 = 252000. The ratio is 528000:252000 = 44:21. Total parts = 65, so each part is 39000 ÷ 65 = 600. Amit's share = 600 × 44 = ₹26400. Bhavesh's share is ₹12600, so the correct statement is Amit's share is ₹26400.

Explanation

In partnership, profit is divided in the ratio of capital × time. A's product = 60,000 × 8 = 4,80,000. B's product = 40,000 × 12 = 4,80,000. So the ratio A : B = 4,80,000 : 4,80,000 = 1 : 1. Total profit is ₹18,000, and there are 2 equal parts. A's share = 18,000 × 1/2 = ₹9,000. Therefore, A receives ₹9,000.