Problems on Percentage
Problems on Percentage: Overview
This topic covers concepts such as Importance of Denominator for Percentage Calculations, Successive Percentage, Percentage Rule for Addition, Percentage Change by Graphical Method, Product Constancy, etc.
Important Questions on Problems on Percentage
In an examination, students failed in Hindi and in English. If failed in both the subjects, what percentage of students passed in both the subjects?


The population of a colony was three years back. It is right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounded annually?

Amit deposited two parts of a sum of ₹ 25000 in different banks at the rates of 15% per annum and 18% per annum respectively.In one year he got ₹ 4050 as the total interest.What was the amount deposited at the rate of 18% per annum?

The difference is selling an article at profits of and is . The cost price of the article is-

What should come in the place of () for the expression given below?
, If

The value of furniture is . If depreciation per year is of the value at the beginning of each year, the value of furniture after $3$ years will be:

Two numbers are respectively and less than a third number. What percent is the first number of the second.

A salesman gets a commission on total sales at . If the sale is exceeded ₹. he gets an additional commission as a bonus of on the excess of sales over ₹.. If he gets a total commission of ₹., then the bonus he received is:

The ratio of the number of Boys and Girls in a school is If of the boys and of the girls are scholarship holders, then the percentage of the students, who do not get the scholarship, is:

A man spends of his income. If his income increases by and his expenditure increases by , then what is the percentage increase in his savings?

A box has coins of denominations one- rupee and fifty paise only. The ratio of their respective values is . The number of one rupee coins is

A trader marks his goods above the cost price and allows a discount of . Find the profit he makes.

The population of a town is . It decreases by per thousand per year. Find out the population after years.

Two concentric circle radii 6 cm and 10 cm respectively tangent of the smaller circle is chord of larger circle then find the length of tangents-

and can do a piece of work in . and can do it in ; and in . In how many days will finish it alone?

If a selling price of results after discount on the list price of an article, the selling price that would result after discount on the list price is;

What is the least number to be added to to make it a perfect square?

A shopkeeper purchased an article for ₹ 500 and marked the price of the article as ₹ 1000. Then he decided to provide three discount of a%, b% and c% in such a way that a+b+c=30. Then what can be range of profit percentage made by the shopkeeper in the transaction?

In what time will become at per annum simple interest?
