P, Q, R are employed to do a work for Rs. 575 | vedclass

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Question

(D) Let the total work be $1$.Given that the total wage for the work is $Rs. 5750$.Work done by $(P + Q + R) = 1$ .....$(1)$Work done by $(P + Q) = \f

Vedclass · Accepted Answer

$1000$

Vedclass · Answer

(D) Let the total work be $1$.Given that the total wage for the work is $Rs. 5750$.Work done by $(P + Q + R) = 1$ .....$(1)$Work done by $(P + Q) = \frac{19}{23}$ .....$(2)$Work done by $(Q + R) = \frac{8}{23}$ .....$(3)$Adding equations $(2)$ and $(3)$,we get:$(P + Q) + (Q + R) = \frac{19}{23} + \frac{8}{23} = \frac{27}{23}$$P + 2Q + R = \frac{27}{23}$Subtracting equation $(1)$ from this result:$(P + 2Q + R) - (P + Q + R) = \frac{27}{23} - 1$$Q = \frac{27 - 23}{23} = \frac{4}{23}$Therefore,the wage of $Q = \frac{4}{23} 	imes 5750 = Rs. 1000$.

$P, Q, R$ are employed to do a work for $Rs. 5750$. $P$ and $Q$ together finished $\frac{19}{23}$ of the work,and $Q$ and $R$ together finished $\frac{8}{23}$ of the work. The wage of $Q$ (in rupees) is:

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