T.S.Jain Solutions for Exercise 1: EXERCISE 3

$15$ men do a work in $20$ days. In how many days will $20$ men do the full work?

Three persons start business and make profit of $\mathrm{Rs}.1180$. If their capitals are as $\frac{1}{5} : \frac{1}{6 } : \frac{1}{8}$, how should the profit be divided?

A, B, and C purchased the mangoes in a ratio $5 : 3 : 2$. If the difference of mangoes of A and C is $60$, find out the total number of mangoes purchased by them.

A company makes a profit of Rs $450$. Out of this $20 \%$ is paid for taxes and the rest be divided among its partners A, B, and C in the proportion of $1 : 1\frac{1}{2} : 2$. Find the share of each.

A grraison of $2,200$ men has provision for $16$ weeks at the rate of $45 gm$ per day per man. How many men must leave so that the same provision may last for $24$ weeks $33 gm$ per day per man?

If $5$ men can do a piece of work in $20$ days, In how many days will $10$ men and $5$ boys do the same work if $1$ man does as much work as $2$ boys?

If $21$ cows eat as much as $15$ oxen, how many cows will eat as much as $25$ oxen?

There are three containers of equal capacity. First container is half full, the second is one third full and the third is empty. If all the water in the containers is divided equally among the containers, what part of the third container will be full?