(B) The total work is considered as $1$ unit.Given that $A+B$ do $\frac{19}{23}$ of the work.Therefore,the work done by $C$ alone $= 1 - \frac{19}{23}

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(B) The total work is considered as $1$ unit.Given that $A+B$ do $\frac{19}{23}$ of the work.Therefore,the work done by $C$ alone $= 1 - \frac{19}{23} = \frac{4}{23}$.Given that $B+C$ do $\frac{8}{23}$ of the work.Therefore,the work done by $A$ alone $= 1 - \frac{8}{23} = \frac{15}{23}$.The wages are distributed in proportion to the work done.Amount to be paid to $A = \text{Total amount} \times (\text{Work done by } A)$Amount to be paid to $A = 529 \times \frac{15}{23} = 23 \times 15 = Rs. 345$.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

$A, B$,and $C$ are employed to do a piece of work for $Rs. 529$. $A$ and $B$ together are supposed to do $\frac{19}{23}$ of the work,and $B$ and $C$ together are supposed to do $\frac{8}{23}$ of the work. What amount should $A$ be paid? (in $Rs.$)

A
$315$
B
$345$
C
$355$
D
$375$

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Time and Work and Wages

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Time and Work

$A$ and $B$ can do a piece of work in $45$ days and $40$ days respectively. They began to do the work together,but $A$ leaves after some days and then $B$ completed the remaining work in $23$ days. The number of days after which $A$ left the work was:

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$A$ takes $10\, \text{days}$ less than the time taken by $B$ to finish a piece of work. If both $A$ and $B$ can do it in $12\, \text{days}$, then the time taken by $B$ alone to finish the work is (in $\text{days}$)

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$x$ number of men can finish a piece of work in $30$ days. If there were $6$ men more,the work could be finished in $10$ days less. The actual number of men is

Medium

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$A$ can do a work in $20 \, \text{days}$ and $B$ in $40 \, \text{days}$. If they work on it together for $5 \, \text{days}$, then the fraction of the work that is left is:

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$A$ man can do a piece of work in $5$ days,but with the help of his son,he can do it in $3$ days. In what time can the son do it alone? (in days)

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$A, B$,and $C$ are employed to do a piece of work for $Rs. 529$. $A$ and $B$ together are supposed to do $\frac{19}{23}$ of the work,and $B$ and $C$ together are supposed to do $\frac{8}{23}$ of the work. What amount should $A$ be paid? (in $Rs.$)

Similar Questions

$A$ and $B$ can do a piece of work in $45$ days and $40$ days respectively. They began to do the work together,but $A$ leaves after some days and then $B$ completed the remaining work in $23$ days. The number of days after which $A$ left the work was:

$A$ takes $10\, \text{days}$ less than the time taken by $B$ to finish a piece of work. If both $A$ and $B$ can do it in $12\, \text{days}$, then the time taken by $B$ alone to finish the work is (in $\text{days}$)

$x$ number of men can finish a piece of work in $30$ days. If there were $6$ men more,the work could be finished in $10$ days less. The actual number of men is

$A$ can do a work in $20 \, \text{days}$ and $B$ in $40 \, \text{days}$. If they work on it together for $5 \, \text{days}$, then the fraction of the work that is left is:

$A$ man can do a piece of work in $5$ days,but with the help of his son,he can do it in $3$ days. In what time can the son do it alone? (in days)

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