Abhijit Guha Solutions for Chapter: Percentage, Exercise 1: Practice Problems Level 1

The product of $5$ per cent of a positive number and $3$ per cent of the same number is $504.6$. What is the half of that number?

Mohan decided to donate $15$ per cent of his salary to School. Suddenly he changed his mind and he donated $₹ 1,896$ which was $80$ per cent of the amount decided earlier. How much is Mohan's salary?

A has double the money of $\mathrm{B}$ and $\mathrm{B}$ has $50$ per cent more money than $\mathrm{C}$. If the average money of all three persons is $12,000$, how much money $\mathrm{A}$ have?

Two candidates fought an election. One of them got $64$ per cent of the total votes and won with $992$ votes. What was the total number of votes polled?

Suresh's annual income is $₹ 6.36$ lakhs. He spends $22$ per cent on paying bills, $18$ per cent on household items. $12$ per cent on paying his children's fees and $4$ per cent he donates to a charity. If two-fifths of the remaining amount he invests in mutual funds, what is the amount left in every month?

The population of a city in $2013$ was $1,12,926$. If the rate of increase was $10$ per cent and $20$ per cent respectively from the year $2011$ to $2012$ and $2012$ to $2013$, what was the population in the year $2011 ?$

Paul donated $10$ per cent of his income to an orphanage and deposited $20$ per cent of the remainder in his bank. If he has now left with $₹ 7,200$, find his income.

In an examination, $34$ per cent failed in Mathematics and $42$ per cent failed in English. If $20$ per cent failed in both the subjects, find the percentage of students who passed in both subjects.