A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.ARs. 4500BRs. 5200CRs. 1800DRs. 3000
Question
A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.ARs. 4500BRs. 5200CRs. 1800DRs. 3000
Solution
Let's solve this step by step:
Step 1: Let's assume the total profit be 'P'. According to the problem, A gets 30% of the total profit for managing the business. So, A's share for managing the business = 30/100 * P = 0.3P
Step 2: The remaining profit is 70% of the total, which is 0.7P. This is divided among A, B, and C in the ratio of their capitals. The ratio of their capitals is 5000:6000:4000 = 5:6:4.
Step 3: So, A's share from this remaining profit = 5/(5+6+4) * 0.7P = 0.175P B's share from this remaining profit = 6/(5+6+4) * 0.7P = 0.21P C's share from this remaining profit = 4/(5+6+4) * 0.7P = 0.14P
Step 4: According to the problem, the profit of A is Rs.200 more than the sum of the profits of B and C. So, we can write the equation as: A's total profit (management profit + profit from capital) = B's profit + C's profit + Rs.200 0.3P + 0.175P = 0.21P + 0.14P + 200 0.475P = 0.35P + 200 0.125P = 200
Step 5: Solving the above equation for P, we get P = 200 / 0.125 = Rs.1600
So, the total profit is Rs.1600.
Similar Questions
A, B, C and D invest in a business in the ratio 3:6:2:5 respectively.But the capital was utilized in the proportion 5:3:2:6 respectively.What is share of C out of a profit of Rs.33500?Rs.4000Rs.2000Rs.1000Rs.1500
orrect answerThree partners A, B, C start a business. B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital. If the total profit is Rs 16,500 at the end of a year, Find out B's share in it?
he correct answerA, B and C invest Rs. 4000, 5000 and 6000 respectively in a business and A gets 25% of profit for managing the business, the rest of the profit is divided by A, B and C in proportion to their investment. If in a year, A gets Rs. 200 less than B & C together, what was the total profit for that year?
A, B and C started a business with their capitals in the ratio 4 : 2 : 9. at the end of every quarter, A halves his capital, whereas B doubles his capital and C leaves his capital unchanged. If at the end of a year, A’s profit was Rs.24000 , then what is the total profit?
A,B and C enter into a partnership.They invest Rs.50000,Rs.70000 and Rs.80000 respectively.At the end of the first year B withdraws Rs.20000,while at the end of the second year C withdraws Rs.40000.In what ratio will be the profit is shared at the end of 3 years?45:51:6051:25:8535:74:56None of these
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.