Partnership Questions

• A starts a business with ₹4000. B joins after 3 months with ₹16000. At the end of one year, what is the ratio of their profits (A : B) based on capital–time?
• A starts a business with ₹9000. B joins after 6 months with ₹45000. Using capital–time (capital-months), what is the ratio of profits of A and B at the end of the year?
• Avinash, Manoj, and Arun invest in the ratio 3 : 2 : 5. At year-end, the profit is ₹45000, which is 15% of their total investment. How much did Manoj invest?
• A, B, and C enter a partnership with capitals in the proportion 1/3 : 1/4 : 1/5. A withdraws half his capital after 4 months. Out of a total annual profit of Rs. 847, what is A’s share?
• A, B, and C enter into partnership. A invests some amount at the beginning, B invests double that amount after 6 months, and C invests thrice that amount after 8 months. If the annual profit is Rs. 18,000, what is C’s share?
• A, B, and C invest Rs. 2000, Rs. 3000, and Rs. 4000 in a business. After one year, A withdraws his money, but B and C continue for one more year. If the net profit after 2 years is Rs. 3200, what is A’s share?
• A and B invest Rs. 12,000 and Rs. 16,000 respectively. After 8 months, C joins with Rs. 15,000. If the total profit after 2 years is Rs. 45,600, what is C’s share?
• Monoj and Ramesh earn a total profit of Rs. 9000 in one year, of which Monoj’s share is Rs. 6000. Monoj invested Rs. 20,000 for 6 months, while Ramesh invested his amount for the whole year. What amount did Ramesh invest?
• A, B, and C subscribe Rs. 47,000 for a business. A subscribes Rs. 7000 more than B, and B subscribes Rs. 5000 more than C. If the total profit is Rs. 9400, what is B’s share?
• If 6 × (A’s capital) = 8 × (B’s capital) = 10 × (C’s capital), what is the ratio A : B : C of their capitals?
• A, B, and C enter a partnership with shares proportional to 7/2 : 4/3 : 6/5. After 4 months, A increases his investment by 50%. If the total profit at the end of one year is Rs. 21600, what is B’s share?
• Four people plan to start a restaurant, sharing the total investment equally among themselves. They discover that if two more equal investors join (making six in total), each of the original four will have to invest ₹12000 less. What is the total investment?
• A invests Rs. 8000 at the start. After 3 months, B joins with Rs. 5000. If the total profit at year-end is Rs. 2350, by how much does A’s share exceed B’s share?
• A, B, and C invest in the ratio 3 : 5 : 7. After one year, C adds Rs. 3,37,600 while A withdraws Rs. 45,600. The ratio of their investments then becomes 14 : 29 : 167. What was A’s initial investment?
• Srikant and Vividh start a business investing ₹185000 and ₹225000 respectively (equal time). If Vividh’s share in the profit is ₹9000, what is the total profit earned?
• Partnership profit sharing over unequal entry times: Ajay invests ₹ 25,000 at the start and Vijay joins after 3 months with ₹ 30,000. At the end of 12 months the total profit is ₹ 38,000. Compute Ajay’s share of the profit using capital × time weights.
• Profit ratio when a third partner joins mid-year: A and B invest in the ratio 3 : 5 for the entire year. After 6 months, C joins with the same capital as B for the remaining 6 months. Find the profit ratio A : B : C at year end.
• Relating capitals across three partners: P’s capital equals twice Q’s capital, and Q’s capital equals three times R’s capital. Determine the capital ratio P : Q : R.
• Profit share with unequal times (insufficient timing data): Ramesh and Priya invest ₹ 5,100 and ₹ 6,600 respectively for different, unknown durations. If the total profit is ₹ 5,460, determine Ramesh’s profit or conclude if the data are insufficient.
• Pasture rent by cow-months: Four milkmen A, B, C, D used a pasture with different numbers of cows for various months. A’s share of rent is ₹ 720 for grazing 18 cows for 4 months. Using cow × month units, compute the total rent.