Dr. Lal and Jain Solutions for Chapter: Ratio and Proportion, Exercise 1: Exercise

A contractor took a contract for building $12$kilometre road in $15$ days and empolyed $100$ labours on the work. After$9$ days, he found that only$5$ kilometre road had been constructed. How many more labours should be employed to ensure that the work may be completed with in the given time ?

Three persons start a business and make a profit of $₹1180$. 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 of $5 : 3 : 2$. 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 $₹450$. Out of this, $20\%$ is paid for taxes and the rest be divided among its partners A, B and C in proportion of $1:1\frac{1}{2}:2$. Find the share of each.

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