Select the 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?Options186,233,96198,135,9096,133,196166,73,298
Question
Select the 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?Options186,233,96198,135,9096,133,196166,73,298
Solution
To solve this problem, we first need to determine how much each person A, B, and C has contributed to the business.
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We know that B contributed Rs.500 more than C. Let's denote the amount that C contributed as x. Therefore, B contributed x + Rs.500.
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We also know that A contributed Rs.700 more than B. Therefore, A contributed (x + Rs.500) + Rs.700 = x + Rs.1200.
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The total amount contributed by A, B, and C is Rs.4700. Therefore, we can set up the following equation: x (C's contribution) + (x + Rs.500) (B's contribution) + (x + Rs.1200) (A's contribution) = Rs.4700.
Solving this equation gives us x = Rs.1000. Therefore, C contributed Rs.1000, B contributed Rs.1500, and A contributed Rs.2200.
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Now, we need to determine how much each person will receive out of a profit of Rs.423. The amount each person receives is proportional to the amount they contributed. Therefore, we can set up the following ratios:
- A's share: (Rs.2200 / Rs.4700) * Rs.423 = Rs.198
- B's share: (Rs.1500 / Rs.4700) * Rs.423 = Rs.135
- C's share: (Rs.1000 / Rs.4700) * Rs.423 = Rs.90
Therefore, out of a profit of Rs.423, A will receive Rs.198, B will receive Rs.135, and C will receive Rs.90. The correct answer is 198, 135, 90.
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