A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:Rs. 8400Rs. 11,900Rs. 13,600Rs. 14,700
Question
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:Rs. 8400Rs. 11,900Rs. 13,600Rs. 14,700
Solution
To solve this problem, we first need to find out how much A, B, and C each invested in the business.
Given that B invested Rs. 5000 more than C and A invested Rs. 4000 more than B, we can set up the following equations:
B = C + 5000 A = B + 4000
We also know that the total investment from A, B, and C is Rs. 50,000. So we can write:
A + B + C = 50000
Substituting the first two equations into the third equation, we get:
(C + 5000) + (C + 5000 + 4000) + C = 50000 3C + 14000 = 50000 3C = 50000 - 14000 3C = 36000 C = 36000 / 3 C = 12000
Substituting C = 12000 into the first two equations, we get:
B = 12000 + 5000 = 17000 A = 17000 + 4000 = 21000
So, A invested Rs. 21000, B invested Rs. 17000, and C invested Rs. 12000.
The total profit is Rs. 35000. The share of each person is proportional to their investment. So, A's share of the profit is:
(21000 / 50000) * 35000 = Rs. 14700
So, the correct answer is Rs. 14,700.
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