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The daily wages of A and B respectively are Rs.3.50 and Rs. 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 of Rs.75. If both of them do it together what is the cost of the work ?
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- Rs. 67.50
- Rs. 27.50
- Rs. 60.50
- Rs. 70.50
Correct Option: A
Time taken by A = | = 18 days | 3.50 |
Time taken by B = | = 30 days | 2.5 |
(A + B)’s 1 day’s work
= | + | |||
18 | 30 |
= | = | |||
90 | 45 |
∴ Required time = | days | 4 |
∴ Total wages
= Rs | × (3.50 + 2.50) | 4 |
= Rs. | × 6 | = Rs. 67.5 | 4 |