Arun Sharma Solutions for Exercise 1: Level of Difficulty

The wages of labourers in a factory has increased in the ratio $22:25$ and their number is decreased in the ratio $3:2$. What was the original wage bill of the factory, if the present bill is $₹5000$?

The monthly salaries of two persons are in the ratio of $1:7$. If each receives an increase of $₹2500$ in the salary, the ratio is altered to $4:13$. Find their respective salaries.

The ratio of boys to girls in a class is $5:3$. The class has $16$ more boys than girls. How many girls are there in the class?

X, Y and Z play cricket. X's runs are to Y's runs and Y's runs are to Z's runs as $3:2$. They score a total of $342$ runs. How many runs did Z make?

In a school, $5\%$ of the number of girls is equal to $\frac{1}{10}$ of the number of boys. Find the ratio between the number of boys to the number of girls. 

$2$ men and $4$ boys can do a piece of work in $10$ days, while $4$ men and $5$ boys can do it in $6$ days. Men and boys are paid wages according to their output. If the daily wage of a man is $₹40$, then find the daily wage of a boy.

The ratio of the economy and business class fares between two airports is $4:1$ and that of the number of passengers travelling by economy and business classes is $1:40$. If on a day $₹1100$ are collected as total fare, find the amount collected from the business class passengers.

In an innings of a cricket match, three players X, Y and Z scored a total of $580$ runs. If the ratio of the number of runs scored by X to that scored by Y was $3:2$ and the number of runs scored by Y to that scored by Z was $5:2$, find the number of runs scored by X?