1.A, B, and C invest Rs. 2000, Rs. 3000, and Rs. 4000 respectively in a business. After one year, A withdraws his investment, while B and C continue the business for an additional year. If the total profit after two years amounts to Rs. 3200, what is A’s portion of the profit?
2.Kashif and Nadeem started a business together. Kashif invested three times the amount Nadeem did and kept his investment for twice the duration compared to Nadeem. If Nadeem's share of the profit is Rs. 4000 and the profit is divided based on the product of investment amount and investment time, what is the total profit earned?
3.In a business partnership, A is the active partner and B is the dormant partner. A invests Rs.15,000 while B invests Rs.25,000. A receives 10% of the total profit as a management fee, and the remaining profit is shared according to their capital contributions. If the total profit amounts to Rs.9,600, how much does A earn in total?
4.Two partners, P and Q, invest in a business with their investment amounts in the ratio 7:5. Their profit shares are in the ratio 7:10. If P's investment duration was 5 months, for how many months did Q invest?
5.Two partners, A and B, start a business together. A invests Rs.16,000 for 8 months, while B participates for 4 months. If B's share of the total profit is 2/7, what amount did B invest?
6.In a partnership involving A, B, and C, A has invested Rs.5000. If the total profit is Rs.800, with A receiving Rs.200 and C receiving Rs.130, what is the amount of capital contributed by B?
7.A and B invest Rs. 3000 and Rs. 4000 respectively in a business. After 6 months, A doubles his investment. What is the ratio in which A and B should share the profit at the end of one year?
8.A and B invest Rs.300 and Rs.400 respectively in a business. A reinvests his portion of the first year's profit of Rs.210 back into the business, while B chooses not to reinvest. What is the ratio in which they should share the second year's profit?
9.A and B share the cost of renting a pasture for 10 months. A grazes 80 cows for 7 months. How many cows can B graze during the remaining 3 months if B agrees to pay 1.5 times the amount A pays?
10.Three partners A, B, and C start a business together. A invests a certain amount at the start, B invests twice that amount after 6 months, and C invests three times that amount after 8 months. If the total annual profit is Rs. 18,000, what is A’s portion of the profit?
11.Three individuals collectively invested Rs. 9000 in a business. The second investor contributed Rs. 1000 more than the first, and the third invested Rs. 1000 more than the second. After two years, the total profit amounted to Rs. 5400. What is the share of the third investor in the profit?
12.Three partners A, B, and C share profits such that A gets two-thirds, while B and C split the remaining profit equally. When the profit rate increases from 5% to 7%, A's income rises by Rs. 200. What is the capital amount invested by B?
13.Two individuals, A and B, rent a field together. A grazes 21 horses for 3 months and 15 cows for 2 months, while B grazes 15 cows for 6 months and 40 sheep for 7.5 months. Given that 3 horses consume the same amount of fodder as 5 cows in one day, and 6 cows consume as much as 10 sheep in one day, what fraction of the rent should A be responsible for?
14.Three individuals, A, B, and C, share the rent of a pasture amounting to Rs. 870. A keeps 12 horses for 8 months, B keeps 16 horses for 9 months, and C keeps 18 horses for 6 months. What portion of the rent should C contribute?
15.A started a business with an investment of Rs. 45,000 and B joined later with Rs. 5,400. After one year, the profit was shared between A and B in the ratio 2:1. How many months after A did B join the business?
16.Three partners A, B, and C enter into a partnership. A contributes Rs. 6500 for 6 months, B contributes Rs. 8400 for 5 months, and C invests Rs. 10000 for 3 months. A is the working partner and receives 5% of the total profit for this role. What is C's portion of the total profit amounting to Rs. 7400?
17.Partners A, B, and C have invested Rs.5000, Rs.6000, and Rs.4000 respectively in a business. A receives 30% of the total profit as a management fee. The remaining profit is shared among all three partners in proportion to their investments. At the end of the year, A's profit exceeds the combined profits of B and C by Rs.200. What is the total profit earned?
18.Given that 6 times A's capital equals 8 times B's capital, which also equals 10 times C's capital, what is the ratio of their capitals A : B : C?
19.A, B, and C started a business together. A invested Rs. 6000 for 5 months, B invested Rs. 3600 for 6 months, and C invested Rs. 7500 for 3 months. If the total profit earned is Rs. 7410, what is A's share of the profit?
20.A invests Rs.1200 in a business from the beginning of the year. B and C join later, investing after 3 months and 6 months respectively. At the end of the year, the profit is shared in the ratio 2:3:5 among A, B, and C. What is the amount invested by B?