MCQ
Numerical: Partnership MCQ - Practice Questions with Answers
Solve 15 Numerical: Partnership questions for RAS/RPSC preparation.
Practice questions
Q1Read the assertion and the reason. Assertion: Sita's share is ₹6000 when Sita and Gita share a profit of ₹9000 in the ratio 2:1. Reason: In a partnership, profit is divided in the ratio of each partner's capital multiplied by the time for which it is invested.
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.
Q2Assertion: If Ajay invests ₹18000 for 12 months and Vijay invests ₹24000 for 9 months, their profit shares are equal. Reason: In a partnership, profit is divided in the ratio of capital × time, and here both time products are 216000.
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.
Q3In each of the following three separate partnerships, the total profit is ₹42000. Match each case with Partner A's share: 1. A invests ₹15000 for 8 months and B invests ₹20000 for 8 months. 2. A invests ₹10000 for 6 months and B invests ₹25000 for 6 months. 3. A invests ₹25000 for 4 months and B invests ₹35000 for 4 months.
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.
Q4Amit invested ₹36000 and Bhavesh invested ₹24000 in a business for one year. After 4 months, Amit added ₹12000. After 6 months, Bhavesh withdrew ₹6000. If the annual profit is ₹39000, which statement is correct?
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.
Q5A invests ₹60,000 for 8 months and B invests ₹40,000 for 12 months in a partnership. If the total profit is ₹18,000, what is A's share of the profit?
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.
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More questions
6Ramesh invested ₹20000 for 12 months, Suresh invested ₹30000 for 8 months, and Mahesh invested ₹40000 for 6 months in a partnership. If the total profit is ₹25200, what is Ramesh's share?
7A and B invest ₹80,000 and ₹60,000 respectively. A also manages the business and receives 10% commission on the total profit before the remaining profit is divided. If the total profit is ₹70,000, which statements are correct? I. A's commission is ₹7,000. II. The remaining profit is divided in the ratio 4 : 3. III. A's total amount is ₹47,000.
8A, B and C start a business with ₹40,000, ₹50,000 and ₹60,000 respectively. C withdraws after 6 months, while A and B continue for the full 12 months. If the annual profit is ₹1,26,000, which statement is correct?
9A invests ₹25,000 for 12 months, B invests ₹40,000 for 9 months and C invests ₹30,000 for 10 months. The total profit is ₹64,000. Match the partners with their profit shares: 1. A, 2. B, 3. C; P. ₹20,000, Q. ₹24,000, R. ₹16,000, S. ₹28,000.
10Kamal and Mohan invest ₹10000 and ₹15000 respectively for one year. Mohan is the working partner and first receives ₹2000 from the total profit. The remaining profit is divided in the ratio of their capitals. If the total profit is ₹12000, how much does Mohan receive in all?
11Reena invests ₹6000 at the start of a business. Kavita invests ₹6000 but joins 4 months later. At the end of the year, the profit is ₹7000. Which of the following statements is incorrect?
12A and B start a business with ₹20,000 and ₹30,000 respectively. After 4 months, C joins with ₹45,000. At the end of 12 months, the total profit is ₹48,000. What is C's share?
13Ram, Shyam and Sohan invest ₹5000 for 12 months, ₹6000 for 10 months and ₹9000 for 4 months respectively. If the total profit is ₹7800, match each partner with the correct profit share.
14Nitin and Pawan are partners with capitals of ₹50000 and ₹70000 respectively. Nitin is a working partner and gets a salary of ₹1500 per month before the remaining profit is divided in the capital ratio. If the annual profit is ₹54000, what is Nitin's total income from the business?
15Ravi invests ₹5000 for 12 months and Mohan invests ₹8000 for 6 months in a business. If the total profit is ₹9000, what is Ravi's share?