1. A starts a business with Rs. 40000. After 5 months B joins him with Rs. 60000. At the end of the year in what ratio should they share the profit ?
Sol:
When total time is not given then it is assumed 12 months
2. A started a business by investing Rs. 25000. After 3 months B joined him with some investment. At the end of the year, the total profit was divided in the ratio of 10:9. How much capital was invested by B in the business ?
Sol:
3. A started a business with Rs. 56000 and after 4 months B joined him with Rs. 42000. At the end of the year, out of the total profit B received total Rs. 1000 including 25% of the profit as commission for managing the business. what amount did A receive ?
Sol:
out of 300 unit profit B received 25% extra i.e. 300 × 25% = 75 unit, remaining 300 – 75 = 225 unit profit will be divided between A and B in the ratio 2:1
∴ A’s share = 225 unit × \(\frac{2}{3}\)
and B’s share = 225 unit × \(\frac{1}{3}\) = 75 unit
Given 150 unit ⟶ 10000
∴ A’s share = \(\frac{2}{3}\) × 225 unit = 150 unit = 10000 Rs. Answer
4. A and B are partners in a business. They invest in the ratio of 3:7. At the end of half year A withdraws. If they receive profit in the ratio of 9:7. Find how long B’s investment was used ?
Sol:
5. A, B and C subscribe a business for Rs 77000. If A subscribes Rs. 9000 more than B and B subscribes Rs. 4000 more than C. Then out of the total profit of Rs. 7700, find the profit share of C.
Sol:
6. A started a business with Rs. 25000. After 3 months B joined him with Rs. 22000. After some more time C joined them with Rs. 13000. At the end of the year, out of the total profit of Rs. 30240, C gets Rs. 4095 as his share. How many months after B joined the business, did C join ?
Sol:
∴ C’s share = 13x unit
= 13x × \(\frac{{30240}}{{4989 + 13x}}\)
x = 6
i.e. C remained in the business for 6 months. So he joined after 9 – 6 = 3 months after B joined Answer
7. A, B and C started a business with their investment in the ratio of 1:2:4. After 6 months A invested half the more amount as before and B invested the same amount as before while C withdew \({\frac{1}{4}^{th}}\) of his investment. Find the ratio of their profits at the end of the year.
Sol:
8. Out of a total profit of Rs. 800000, 30% is paid as taxes. Of the rest is divided among partners A, B and C in the ratio 1:5:2. Find the respective share of A, B and C.
Sol:
tax = 30% of 800000 = 240000 Rs.
Remaining profit = 56000 Rs.
9. Rs. 12300 are divided among A, B and C so that A may receive one half as much as B and C together receive and B receives one-fourth of what A and C together receive. Find by how much share of C is more than share of A ?
Sol:
10. The investment made by A and B are in the ratio 3:2. If 90% of total profit is donated and A gets Rs. 7890 as his share of profit then what is the amount of total profit ?
Sol:
donation = 500 × 90% = 450 unit
Remaining profit = 50 unit
A’s share = 30 unit ⟶ 7890
1 unit = 263
∴ total profit = 500 unit
= 13150 Rs. Answer