Arun Sharma Solutions for Exercise 2: Level of Difficulty

An organisation gives its sales staff incentives based on the value of their sales. In a particular year, despite a $5$ percentage point increment on the commission from $20\%$, the total commission for sales organisation remains unaltered. Find the change in the volume of the sales.

In a local election at Kanpur, the total turnout was $80\%$ out of which $16\%$ of the total voters on the voting list were declared invalid. Find which of the following can be the percentage votes got by the winner of the election, if the candidate who came second got only $20\%$ of the total voters on the voting list. (There were only three contestants, only one winner and the total number of voters on the voters list was $20000$).

The hourly wages of Rahim are increased by $10\%$, whereas the weekly working hours are reduced by $10\%$. Find the percentage change in the weekly wages if she was getting $₹1000$ per weeks for $50$ hours previously.

Two numbers $A$ and $B$ are $20\%$ and $28\%$ less than a third number $C$. Find by what percentage is the number $B$ less than the number $A$.

Price of a commodity is first increased by $x\%$ and then decreased by $x\%$. If the new price is $\frac{K}{100}$, find the original price.

The salary of Sahir is increased by $₹4800$ and the rate of tax is decreased by $2\%$ from $12\%$ to $10\%$. The effect is such that he is now paying the same tax as before. If in both the cases, the standard tax deduction is fixed at $20\%$ of the total income, find the increased salary.

Seema goes to a shop to buy a radio costing $₹2568$. The rate of sales tax is $7\%$ and the final value is rounded off to the next higher integer. She tells the shopkeeper to reduce the price of the radio so that she has to pay $₹2568$ inclusive of sales tax. Find the reduction needed in the price of radio.

A company has $\text{'}n\text{'}$ employees in $2011$. In $2012, 20\%$ of the employees left the company while no one was hired. In $2013$ and $2014$, the number of employees again grew by $50\%$ and $15\%$ respectively. In $2015$, the company fired $280$ employees and at the end of $2015$, the percentage increase in the number of employees from $2011$ was found to be $10\%$. Find the number of employees at the end of year $2015$.