Question

Q. Three men are employed to do a piece of work. They work respectively 5, 6 and 7 hours a day and were getting wages in the same ratio of hours worked. After three days each works an hours more and receives proportionately increased wages and at the end of four days from the day of increased time the work is completed. The whole sum paid is Rs. 27.60. How much of it should each receive ?
#quality Answer
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Answer 1

Solution:-

Ratio for three days = 5 : 6 : 7

Ratio after three days = 5+1 : 6+1 : 7+1

for four days more = 6 : 7 :8

$\implies$ Ratio for first three days =5×3 : 6×3 : 7×3

= 15:18:21

Ratio after three days = 6×4 : 7×4 : 8×4

for four days more = 24 : 28 : 32

The money should be distributed in the ratio = (15+24) : (18+28) : (21+32) = 39 : 46 : 53

Sum of the ratios = 39+46+53=138

Hence share of each = ₹$\frac{27.60}{138}×39$, ₹$\frac{27.60}{138}×46$ & $\frac{27.60}{138}×53$

=₹7.80 , ₹9.20 & ₹10.60