R. Gupta Solutions for Exercise 1: EXERCISE

If $m$ men can do $\frac{1}{n}$ of a piece of work in $P$ days, find the expression for the number of persons required to do the whole work in $q$ days? 

If $m$ men can do $\frac{1}{n}$ of a piece of work in $P$ days, then the number of persons required to do the whole work in $q$ days?

 If$m=15, n=4, p=13$ and $q= 20$, then the number of persons required to do the same work is: 

A piece of work can be done by $6$ men and $5$ women in $6$ days or $3$ men and $4$ women in $10$ days. In how many days can it be done by $9$ men and $15$ women$?$

$X$ and $Y$ undertook a contract to do a certain job for $₹4200$. $X$ alone could do the job in$3$ weeks and $Y$ alone in $4$ weeks. If both of them finished the job working together, in what ratio should money be divided $(X : Y) ?$

$X$ and $Y$ did a piece of work together and received $Rs.300$. If $X$ alone can do that piece of work in $2$ weeks and $Y$ alone in $3$ weeks, how should the money be divided between them$?$

$A, B$ and $C$ completed a work together and earned $₹195$. If the ratio of the work of$A:B:C$ be as $4:6:3$, the money obtained by $C$ is$:$

To finish a certain job, $X$ takes twice as long as $Y$ and $Z$ together and $Z$ takes three times as long as $X$ and $Y$ together. If $X, Y$ and $Z$ working together complete the job in $6$ days, How long would $X$ take to complete the work alone$?$

In the above question, how long would $Z$ take to complete the work alone?