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?Options198,135,9096,133,196186,233,96166,73,298
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?Options198,135,9096,133,196186,233,96166,73,298
Solution
First, let's find out how much each person subscribes.
Given that A subscribes Rs.700 more than B and B subscribes Rs.500 more than C, we can set up the following equations:
A = B + 700 B = C + 500
Substituting B from the first equation into the second equation, we get:
A = C + 500 + 700 A = C + 1200
The total amount subscribed by A, B, and C is Rs.4700. So, we can set up another equation:
A + B + C = 4700
Substituting A and B from the above equations, we get:
C + 1200 + C + 500 + C = 4700 3C + 1700 = 4700 3C = 4700 - 1700 3C = 3000 C = 3000 / 3 C = Rs.1000
Substituting C into the equations for A and B, we get:
B = 1000 + 500 = Rs.1500 A = 1500 + 700 = Rs.2200
So, A subscribes Rs.2200, B subscribes Rs.1500, and C subscribes Rs.1000.
Now, let's find out how much each person will receive out of a profit of Rs.423.
The share of each person will be proportional to the amount they subscribed. So, we can set up the following ratios:
A's share = 2200/4700 * 423 = Rs.198 B's share = 1500/4700 * 423 = Rs.135 C's share = 1000/4700 * 423 = Rs.90
So, A will receive Rs.198, B will receive Rs.135, and C will receive Rs.90 out of a profit of Rs.423.
Therefore, the correct answer is 198, 135, 90.
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