1.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?
2.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?
3.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?
4.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?
5.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?
6.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?
7.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?
8.A and B started a business with investments of Rs.3000 and Rs.4000 respectively. After 8 months, A reduced his investment by Rs.1000, while B increased his investment by Rs.1000. At the end of one year, the total profit was Rs.630. What is A's share of the profit?
9.Partners A and B invest in a business with capitals in the ratio 7:9. After 8 months, A withdraws his investment. Given that the profit is shared in the ratio 8:9, determine the duration for which B’s capital was invested.
10.A and B started a partnership by investing Rs. 25,000 and Rs. 30,000 respectively. After 4 months, C joined the partnership with an investment of Rs. 35,000. What amount does C receive from an annual profit of Rs. 47,000?
11.Four partners A, B, C, and D contribute to a business. A invests one-third of the total capital, B invests one-fourth, C invests one-fifth, and D contributes the remaining amount. If the total profit is Rs. 2460, what is A's share of the profit?
12.A, B, and C invested Rs. 6300, Rs. 4200, and Rs. 10500 respectively in a joint business venture. If the total profit after one year is Rs. 12,100, what is A's portion of the profit?
13.What is the simplified ratio of the salaries of Faheem, Imran, and Naveed if Faheem earns 80,000 rupees, Imran earns 70,000 rupees, and Naveed earns 50,000 rupees?
14.If two numbers have a ratio of 5 to 4 and their difference is 10, what is the greater number?
15.If M, N, and O invest capital in the ratio 2:3:5 and the duration of their investments are in the ratio 4:5:6, how should the profit be shared among them?
16.A collection of coins consists of 50 paise, 1 rupee, and 2 rupee coins in the ratio 2:5:8. If the combined value of all the coins is Rs. 352, what is the total count of coins present?
17.Given three variables X, Y, and Z that satisfy the equation XY = kZ, where k is a constant, initially X is 4 and the ratio X:Y:Z is 2:3:4. If Y is changed to 12 while Z remains unchanged, what is the new value of X?
18.What is the mean proportional value between 5 and 45?
19.Given the ratios X:Y = 2:3 and Y:Z = 4:5, determine the combined ratio X:Y:Z.
20.Two numbers, a and b, have a ratio of 3 to 5. When 2 is added to each number, their ratio changes to 2 to 3. What is the value of b?