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:a.RS 11900b.RS 13600c.RS 14700d.RS 8400
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:a.RS 11900b.RS 13600c.RS 14700d.RS 8400
Solution
First, let's 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 A + B + C = 50,000
Substituting the first two equations into the third equation, we get:
(C + 5000) + (C + 5000 + 4000) + C = 50,000 3C + 14,000 = 50,000 3C = 50,000 - 14,000 3C = 36,000 C = 36,000 / 3 C = 12,000
Substituting C = 12,000 into the first two equations, we get:
B = 12,000 + 5000 = 17,000 A = 17,000 + 4000 = 21,000
So, A invested Rs. 21,000, B invested Rs. 17,000, and C invested Rs. 12,000.
The total profit is Rs. 35,000. The share of each person will be proportional to their investment. So, A's share will be:
(A's investment / Total investment) * Total profit = (21,000 / 50,000) * 35,000 = 0.42 * 35,000 = Rs. 14,700
So, A receives Rs. 14,700. The correct answer is c. RS 14700.
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