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?
Question
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?
Solution
Let's solve this step by step:
-
The total investment is Rs. 4000 (A) + Rs. 5000 (B) + Rs. 6000 (C) = Rs. 15000.
-
The ratio of their investments is 4000:5000:6000 = 4:5:6.
-
Let's assume the total profit is P. A gets 25% of the profit for managing the business, which is 0.25P.
-
The rest of the profit, which is 0.75P, is divided among A, B, and C in the ratio of their investments. So, A gets an additional 0.75P * (4/15), B gets 0.75P * (5/15), and C gets 0.75P * (6/15).
-
According to the problem, A gets Rs. 200 less than B and C together. So, we can set up the equation: 0.25P + 0.75P * (4/15) = 0.75P * (5/15) + 0.75P * (6/15) - 200.
-
Solving this equation, we get P = Rs. 6000.
So, the total profit for that year was Rs. 6000.
Similar Questions
Select the 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?OptionsRs. 1700Rs. 1500Rs.2500Rs. 2000
A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?Choices:- Rs.18000 Rs.15000 Rs.17000 Rs.14000
A & B start a business with investment Rs.28,000 & Rs.49,000 respectively. But C joins their business with the condition that all profit will distributed in the ratio 1 : 1 : 1. For this C give A & B Rs.33,000. then find , how much money B get ?
e correct answerA, B and C started a business. Thrice the investment of A is equal to twice the investment of B and also equal to four times the investment of C. If C’s share out of the total profit is Rs 4863, then the share of A in the profit is :
elect the correct answerA, B and C invested Rs. 45000, Rs. 70000 and Rs. 90000 respectively to start a business. At the end of 2 years, they earned a profit of Rs. 164000. What will be B’s share in the profit?OptionsRs. 56000Rs.5000Rs. 9000None
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.