Question
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?Solution
daily wage of A = Rs 3.50 total wage earned by A = Rs 63 total wage earned by B = Rs 75 no of days B worked = (total wage earned / daily wage) = 75/2.50 = 30 days no of days taken to complete the work when A and B do together = (xy / x+y) { when A takes x days and b takes y days} = (18×30) / (18+30) = 90/8 days Total amount paid to A and B per day = 3.50 + 2.50 = Rs 6 Total amount to be paid =90/8 × 6 = 135/2 = Rs 67.50
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