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correct answerThree man A, B and C subscribes Rs.4700 for a business. A subscribes Rs.700 more than B and B Rs.500 more than C. How much will each A, B & C receive out of a profit of Rs.423?Options96,133,196186,233,96198,135,90

Question

correct answerThree man A, B and C subscribes Rs.4700 for a business. A subscribes Rs.700 more than B and B Rs.500 more than C. How much will each A, B & C receive out of a profit of Rs.423?Options96,133,196186,233,96198,135,90

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Solution

The first step is to determine how much each person has contributed.

Given that A contributes Rs.700 more than B and B contributes Rs.500 more than C, we can set up the following equations:

A = B + 700 B = C + 500

Substituting the second equation into the first gives us:

A = C + 500 + 700 A = C + 1200

The total contribution is Rs.4700, so we can set up another equation:

A + B + C = 4700

Substituting the previous equations into this one gives us:

C + 1200 + C + 500 + C = 4700 3C + 1700 = 4700 3C = 4700 - 1700 3C = 3000 C = 3000 / 3 C = Rs.1000

Substituting C = 1000 into the equations for A and B gives us:

B = 1000 + 500 = Rs.1500 A = 1000 + 1200 = Rs.2200

So, A contributed Rs.2200, B contributed Rs.1500, and C contributed Rs.1000.

The total profit is Rs.423. The share of each person will be proportional to their contribution. So, we can calculate each person's share as follows:

A's share = (A's contribution / total contribution) * total profit = (2200 / 4700) * 423 = Rs.198

B's share = (B's contribution / total contribution) * total profit = (1500 / 4700) * 423 = Rs.135

C's share = (C's contribution / total contribution) * total profit = (1000 / 4700) * 423 = Rs.90

So, A will receive Rs.198, B will receive Rs.135, and C will receive Rs.90. Therefore, the correct answer is 198, 135, 90.

This problem has been solved

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