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The daily wages of A and B respectively are Rs.3.50 and 2.50. When A finishes a certain work, he gets a total wage of Rs. 63, When B does the same work, he gets a total wage Rs.75. If both of them do it together what is the cost of the work?

The daily wages of A and B respectively are Rs.3.50 and 2.50. When A finishes a certain work, he gets a total wage of Rs. 63, When B does the same work, he gets a total wage Rs.75. If both of them do it together what is the cost of the work? Correct Answer Rs. 67.50

A’s one day wages = Rs. 3.5

B’s one day wages = Rs. 2.5

A and B’s one days wages = 3.5 + 2.5 = Rs. 6

A complete the work in = 63/3.5 = 18 days

B complete the work in = 75/2.5 = 30 days

Total work = 90

A and B complete the work in = 90/(5 + 3) = 45/4 days

Total wages of A and B = 45/4 × 6 = Rs. 67.5

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