A, B and C undertake to do a piece of work for Rs.1950. A work for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3:5:4 , What does C get ?
Finding wages of each worker
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ratio
2 Answers
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Daily wages are in the ratio 3 : 5 : 4
Working days of A, B and C = 8, 9 and 12
So the wages they get will be in ratio
$3 \times 8 : 5 \times 9: 4 \times 12$
= 24 : 45 : 48
Share of C
= $\frac{48}{(24+45+48)} \times 1950 = 800$
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The relative wages of A,B and C are $8\cdot 3$, $9\cdot 5$ and $12\cdot 4$.
The ratio of the relative wage of C and the sum of all relative wages is
$r=\frac{12\cdot 4}{8\cdot 3+9\cdot 5+12\cdot 4}=\frac{16}{39}$
This is the porportion what $C$ gets from $Rs.1950$.