(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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Quantitative Aptitude Questions

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Time and Work and Wages

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Time and Work

$A, B$ and $C$ completed a work costing $Rs. 1800$. $A$ worked for $6$ days,$B$ for $4$ days and $C$ for $9$ days. If their daily wages are in the ratio of $5: 6: 4$,how much amount will be received by $A$ (in $Rs.$)?

Medium

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$A, B$ and $C$ together can complete a piece of work in $30\, min$. $A$ and $B$ together can complete the same work in $50\, min$. $C$ alone can complete the work in? (in $min$)

Medium

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$A$ can do $50\%$ of the job in $16$ days,$B$ can do $\frac{1}{4}^{th}$ of the job in $24$ days. In how many days can they do $\frac{3}{4}^{th}$ of the job working together?

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$A$ can do a piece of work in $20$ days and $B$ in $30$ days. They work together for $7$ days and then both leave the work. Then $C$ alone finishes the remaining work in $10$ days. In how many days will $C$ finish the full work?

Medium

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$P$,$Q$ and $R$ contracted to do a work for $Rs. 4200$. $P$ can do the work in $6$ days,$Q$ in $10$ days and $R$ in $12$ days. If they work together to do the work,what is the share of $R$ (in $Rs.$)?

Medium

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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

$A, B$ and $C$ completed a work costing $Rs. 1800$. $A$ worked for $6$ days,$B$ for $4$ days and $C$ for $9$ days. If their daily wages are in the ratio of $5: 6: 4$,how much amount will be received by $A$ (in $Rs.$)?

$A, B$ and $C$ together can complete a piece of work in $30\, min$. $A$ and $B$ together can complete the same work in $50\, min$. $C$ alone can complete the work in? (in $min$)

$A$ can do $50\%$ of the job in $16$ days,$B$ can do $\frac{1}{4}^{th}$ of the job in $24$ days. In how many days can they do $\frac{3}{4}^{th}$ of the job working together?

$A$ can do a piece of work in $20$ days and $B$ in $30$ days. They work together for $7$ days and then both leave the work. Then $C$ alone finishes the remaining work in $10$ days. In how many days will $C$ finish the full work?

$P$,$Q$ and $R$ contracted to do a work for $Rs. 4200$. $P$ can do the work in $6$ days,$Q$ in $10$ days and $R$ in $12$ days. If they work together to do the work,what is the share of $R$ (in $Rs.$)?

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