Editorial Board Solutions for Chapter: Arithmetic Maths, Exercise 1: RATIO-PROPORTION

A $70 cm$ long wire is to be cut into two piece so that one piece will be $\frac{2}{5}$th of the other. How many centimeters will the shorter piece be?

$96$ is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smaller parts.

$1000$ men have provisions for $15$ days. If $200$ more men join them, for how many days will the provisions last now?

A garrison of $400$ men had a provision for $31$ days. After $28$ days $280$ persons reinforcement leaves the garrison. Find the number of days for which the remaining ration will be sufficient. 

An amount of money is to be divided among P, Q and R in the ratio of  $3:7:12$. If the difference between the shares of P and Q is Rs. $2400$. What will be the difference between Q and R's share?

The Compound ratio of $\frac{2}{3}, \frac{6}{7}, \frac{1}{3} \& \frac{1}{8}$ is given by:

A, B and C play a cricket match. The ratio of the runs scored by them in the match is A : B $=$ $2:3$, B : C $=$ $2:5$. If the total runs scored by all of them are $75$,then runs scored by B are:

A sum is divided among $X, Y$ and $Z$in such a way that for each rupee $X$gets, $Y$gets $45$ paise and $Z$gets $30$ Paise. If the Share of $Y$ is $27$. What is the total amount?