(D) The $1^{st}$ man's $3$ days' work $= \frac{3}{6} = \frac{1}{2}$.The $2^{nd}$ man's $3$ days' work $= \frac{3}{8}$.The boy's $3$ days' work $= 1 -

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(D) The $1^{st}$ man's $3$ days' work $= \frac{3}{6} = \frac{1}{2}$.The $2^{nd}$ man's $3$ days' work $= \frac{3}{8}$.The boy's $3$ days' work $= 1 - (\frac{1}{2} + \frac{3}{8}) = 1 - (\frac{4+3}{8}) = 1 - \frac{7}{8} = \frac{1}{8}$.The ratio of their work done is $\frac{1}{2} : \frac{3}{8} : \frac{1}{8}$.Multiplying by $8$,we get the ratio $4 : 3 : 1$.Thus,the money should be divided in the ratio $4 : 3 : 1$.

Competitive Quantitative Aptitude Time and Work and Wages Work and Wages

Medium

Two persons agreed to do a work for $Rs. 2000$. One alone could do it in $6 \text{ days}$,the other in $8 \text{ days}$. With the assistance of a boy,they finish it in $3 \text{ days}$. How should the money be divided?

A
$1:2:3$
B
$2:3:1$
C
$1:3:4$
D
$4:3:1$

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Quantitative Aptitude Questions

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Time and Work and Wages

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Work and Wages

The wages for $12$ women amount to $Rs. 30240$ in $24$ days. How many men must work for $16$ days to receive $Rs. 10080$,given that the daily wage of a man is equal to that of a woman?

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$A$ person can do a work in $20 \text{ days}$. With the help of a boy,he can do the same work in $12 \text{ days}$. If they get $Rs. 500$ for that work,what is the share of that boy? (in $Rs.$)

Medium

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If $3$ men and $4$ boys can earn $Rs. 4200$ in $7$ days,and $11$ men and $13$ boys can earn $Rs. 16600$ in $8$ days,in what time will $7$ men and $9$ boys earn $Rs. 19250$? (in days)

Medium

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Two persons $P$ and $Q$ together complete a piece of work which it would have taken them respectively $12$ and $18$ days to complete if they worked separately. They received a payment of $Rs. 1200$. Find their shares.

Medium

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Two persons agreed to do a work for $Rs. 2000$. One alone could do it in $6 \text{ days}$,the other in $8 \text{ days}$. With the assistance of a boy,they finish it in $3 \text{ days}$. How should the money be divided?

Similar Questions

The wages for $12$ women amount to $Rs. 30240$ in $24$ days. How many men must work for $16$ days to receive $Rs. 10080$,given that the daily wage of a man is equal to that of a woman?

$A$ person can do a work in $20 \text{ days}$. With the help of a boy,he can do the same work in $12 \text{ days}$. If they get $Rs. 500$ for that work,what is the share of that boy? (in $Rs.$)

If $3$ men and $4$ boys can earn $Rs. 4200$ in $7$ days,and $11$ men and $13$ boys can earn $Rs. 16600$ in $8$ days,in what time will $7$ men and $9$ boys earn $Rs. 19250$? (in days)

Two persons $P$ and $Q$ together complete a piece of work which it would have taken them respectively $12$ and $18$ days to complete if they worked separately. They received a payment of $Rs. 1200$. Find their shares.

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