1.A began a business by investing Rs. 70,000. After six months, B joined with an investment of Rs. 1,20,000. If the total profit at the end of one year amounts to Rs. 52,000, what is B's portion of the profit?
2.A, B, and C invested Rs. 8,000, Rs. 10,000, and Rs. 12,000 respectively in a business. If B's profit share at the end of the year is Rs. 1,500, what is the difference between the profit shares of A and C?
3.A and B enter into a business partnership where A contributes the entire capital of Rs. 50,000. B agrees to pay A interest at 10% per annum on half of the capital. A also works actively in the business and earns Rs. 1,500 monthly from the total profit. The remaining profit is divided equally between A and B. At the end of the year, A's total earnings are twice that of B's. What is the total profit earned during the year?
4.A and B invest Rs. 8000 and Rs. 9000 respectively in a venture. After 4 months, A reduces his investment by half, and after another 2 months, B decreases his investment by one-third. What is the ratio in which they should divide the profits at the end of the 12-month period?
5.A and B each invest Rs. 10,000, with A's investment lasting 8 months and B's investment continuing for the entire 12 months. If the total profit after one year is Rs. 25,000, what are their respective profit shares?
6.A and B each invest Rs. 8000 to start a business. After 4 months, B reduces his investment by half. How should the profits be divided between them after 18 months?
7.A and B invest Rs. 6000 and Rs. 8000 respectively to start a business. How should they divide the profits after one year?
8.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?
9.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?
10.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?
11.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?
12.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?
13.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?
14.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?
15.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?
16.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?
17.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?
18.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?
19.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?
20.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?