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elect the correct answerA, B and C completed a work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A?OptionsRs.750Rs.600Rs. 800Rs. 900

Question

elect the correct answerA, B and C completed a work costing Rs. 1800. A worked for 6 days, B for 4 days and C for 9 days. If their daily wages are in the ratio of 5 : 6 : 4, how much amount will be received by A?OptionsRs.750Rs.600Rs. 800Rs. 900

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Solution

To solve this problem, we first need to understand the ratio of their daily wages and the number of days each person worked.

  1. The ratio of their daily wages is 5:6:4 for A, B, and C respectively.

  2. The number of days each person worked is 6 days for A, 4 days for B, and 9 days for C.

  3. We need to calculate the total work done by each person. This is done by multiplying the number of days worked by the ratio of their daily wages. So, for A it's 56 = 30, for B it's 64 = 24, and for C it's 4*9 = 36.

  4. The total work done by all three is 30+24+36 = 90.

  5. Now, we know that the total cost of the work is Rs. 1800. So, the cost of each unit of work is 1800/90 = Rs. 20.

  6. To find out how much A will receive, we multiply the units of work done by A (which is 30) by the cost per unit of work (which is Rs. 20). So, 30*20 = Rs. 600.

So, the correct answer is Rs. 600.

This problem has been solved

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