(C) The first man's $3$ days' work $= \frac{3}{6} = \frac{1}{2}$.The second man's $3$ days' work $= \frac{3}{8}$.The boy's $3$ days' work $= 1 - (\fra

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(C) The first man's $3$ days' work $= \frac{3}{6} = \frac{1}{2}$.The second man's $3$ days' work $= \frac{3}{8}$.The boy's $3$ days' work $= 1 - (\frac{1}{2} + \frac{3}{8}) = 1 - (\frac{4+3}{8}) = 1 - \frac{7}{8} = \frac{1}{8}$.Since the total work is completed in $3$ days,the ratio of work done by the first man,the second man,and the boy is $\frac{1}{2} : \frac{3}{8} : \frac{1}{8}$.Multiplying by $8$,the ratio becomes $4 : 3 : 1$.The boy's share $= \frac{1}{4+3+1} \times 600 = \frac{1}{8} \times 600 = Rs. 75$.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

Two men undertake a piece of work for $Rs. 600$. Individually,they can complete the work in $6$ days and $8$ days,respectively. With the assistance of a boy,they completed the work in $3$ days. The boy's share should be (in $Rs.$)

A
$300$
B
$225$
C
$75$
D
$100$

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Time and Work and Wages

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Time and Work

Kim can do a work in $3 \, \text{days}$ while David can do the same work in $2 \, \text{days}$. Both of them finish the work together and get $Rs. 150$. What is the share of Kim? (in $Rs.$)

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Three men,four women and six children can complete a work in $7$ days. $A$ woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in $7$ days?

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$18$ women can complete a work in $12$ days and $12$ men can complete the same work in $9$ days. In how many days will $8$ men and $8$ women complete that work? (in days)

Medium

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$A$ can finish a work in $12$ days and $B$ can do it in $15$ days. After $A$ had worked for $3$ days,$B$ also joined $A$ to finish the remaining work. In how many days will the remaining work be finished?

Medium

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Five men and $2$ boys,working together,can complete four times as much work per hour as a man and a boy working together. The ratio of the work completed by a man and a boy is:

Easy

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Two men undertake a piece of work for $Rs. 600$. Individually,they can complete the work in $6$ days and $8$ days,respectively. With the assistance of a boy,they completed the work in $3$ days. The boy's share should be (in $Rs.$)

Similar Questions

Kim can do a work in $3 \, \text{days}$ while David can do the same work in $2 \, \text{days}$. Both of them finish the work together and get $Rs. 150$. What is the share of Kim? (in $Rs.$)

Three men,four women and six children can complete a work in $7$ days. $A$ woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in $7$ days?

$18$ women can complete a work in $12$ days and $12$ men can complete the same work in $9$ days. In how many days will $8$ men and $8$ women complete that work? (in days)

$A$ can finish a work in $12$ days and $B$ can do it in $15$ days. After $A$ had worked for $3$ days,$B$ also joined $A$ to finish the remaining work. In how many days will the remaining work be finished?

Five men and $2$ boys,working together,can complete four times as much work per hour as a man and a boy working together. The ratio of the work completed by a man and a boy is:

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