A and B invest ₹50,000 and ₹70,000 respectively in a business. After 1 year, the total profit is distributed including simple interest at 10% per annum on the capital of each partner. If the total profit including interest is ₹18,000, what is A's share of the profit?
₹7,500
Step 1 – compute the simple interest each partner gets:
SI for A \(= 50000 \times \dfrac{10}{100} \times 1 = 5000\)
SI for B \(= 70000 \times \dfrac{10}{100} \times 1 = 7000\)
Total interest \(= 5000 + 7000 = 12000\)
Step 2 – remaining profit (after deducting interest):
\(18000 - 12000 = 6000\)
This remaining profit is shared in the capital ratio 50000 : 70000 = 5 : 7.
Step 3 – A's share of the remaining profit:
\(6000 \times \dfrac{5}{12} = 2500\)
Step 4 – A's total share:
\(\text{Interest} + \text{Profit share} = 5000 + 2500 = 7500\)
Hence, A's share is ₹7,500.
Similar Questions
Two friends A and B started a business by investing ₹1,50,000 and ₹2,50,000, respectively. They agreed to distribute their earnings in the same ratio of their investments. After a year, the profit earned was ₹6,00,000. Each of them added ₹50,000 to their respective profits and invested in a different project. If this project gave a yield of ₹4,20,000, then A’s share in the profit is:
A and B together have Rs. 6300. If 5/19 of A’s amount is equal to 2/5 of B’s amount, find the amount of B?
A startup has three stakeholders. A brought 40% of the capital, and B brought the rest. C joined later and was promised 20% of the total profit for branding. If total profit was Rs. 2,50,000, how much was B's share?
A, B, and C invested ₹24,000, ₹36,000 and ₹40,000 respectively. A's investment was for 12 months, B's for 8 months and C's for 6 months. The total profit is ₹50,000. What is B's share of the profit?
A and B invest ₹60,000 and ₹90,000 respectively, in a business. After one year, the profit is distributed, including simple interest at 10% per annum on the capital. Total profit, including interest, is ₹25,000. What is A's share?
A invests ₹25,000 for 12 months, B invests ₹50,000 for 6 months. What is A's share of ₹30,000 profit?
A and B start a business with capitals in the ratio 5 : 3. After 6 months, A withdraws ₹10,000 and B doubles his investment. If the initial investment of A was ₹50,000, and the total profit after 1 year is ₹84,000, find the profit share of A.
Alok starts a business with ₹90,000. After 3 months, Deepak joins with ₹1,20,000. After 6 months from the beginning, Alok increases his investment by ₹30,000. Deepak leaves the business 3 months before the end of the year. What is their profit-sharing ratio?
- D and E start a business with equal investments. After 4 months, D adds Rs. 10,000 more. At the end of 1 year, if the total profit is Rs. 33,000, and E's share is Rs. 15,000, what was their initial investment?
A and B share a rented field. A utilizes 20 horses for 5 months, while B uses 30 cows for 4 months and 45 sheep for 5 months. If 2 horses are equivalent to 5 cows, and 3 cows are equal to 9 sheep, what portion of the rent is A pays?
Important Questions from Partnership
Kiran, Vimal and Naveen started a business by investing Rs. 1,35,000, Rs. 1,50,000 and Rs. 1,65,000 respectively. Find the share of each (respectively), out of an annual profit of Rs. 60,000.
When the incoming partner cannot bring premium for goodwill, then the necessary adjustment for goodwill is done through which one of the following?
A, B, C invest Rs. 20000, Rs. 30000, Rs. 40000 in a business. After one year, A withdrew his money but B and C continued for one more year. If the net profit after 2 years be Rs. 32000, then A’s share in the profit is:
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs. 20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?
Three friends A, B, and C invested Rs. 20,000, Rs. 18,000, and Rs. 14,000, respectively in a business. If at the end of the year they got a profit of Rs. 7,800, then the profit share of B would be:
