Problems on Percentage

IMPORTANT

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

EASY
IMPORTANT

In an examination, 52% students failed in Hindi and 42% in English. If 17% failed in both the subjects, what percentage of students passed in both the subjects?

EASY
IMPORTANT

What percent of 7.2kg is  18gm?

MEDIUM
IMPORTANT

The population of a colony was 3600 three years back. It is 4800 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?

EASY
IMPORTANT

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?

EASY
IMPORTANT

The difference is selling an article at profits of4% and 6% is 12. The cost price of the article is-

MEDIUM
IMPORTANT

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

2+32-3=?, If 3=1.732

EASY
IMPORTANT

The value of furniture is  9000. If depreciation per year is 10% of the value at the beginning of each year, the value of furniture after $3$ years will be:

EASY
IMPORTANT

Two numbers are respectively 25% and 20% less than a third number. What percent is the first number of the second.

MEDIUM
IMPORTANT

A salesman gets a commission on total sales at 9%. If the sale is exceeded ₹.10,000 he gets an additional commission as a bonus of 3% on the excess of sales over ₹.10,000. If he gets a total commission of ₹.1380, then the bonus he received is:

EASY
IMPORTANT

The ratio of the number of Boys and Girls in a school is 3 : 2  If 20% of the boys and 25% of the girls are scholarship holders, then the percentage of the students, who do not get the scholarship, is:

MEDIUM
IMPORTANT

A man spends 75% of his income. If his income increases by 20% and his expenditure increases by 10%, then what is the percentage increase in his savings?

EASY
IMPORTANT

A box has 210  coins of denominations one- rupee and fifty paise only. The ratio of their respective values is 13 : 11. The number of one rupee coins is

MEDIUM
IMPORTANT

A trader marks his goods 40% above the cost price and allows a discount of 25%. Find the profit he makes.

EASY
IMPORTANT

The population of a town is  50,000. It decreases by 20 per thousand per year. Find out the population after 2 years.

HARD
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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-

MEDIUM
IMPORTANT

A and B can do a piece of work in 10 days. Band C can do it in 12 days; C and A in 15 days. In how many days will C finish it alone?

EASY
IMPORTANT

If a selling price of 24 rupees results after 20% discount on the list price of an article, the selling price that would result after 30% discount on the list price is;

EASY
IMPORTANT

What is the least number to be added to 1500 to make it a perfect square?

EASY
IMPORTANT

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?

MEDIUM
IMPORTANT

In what time will 72 become 81 at per 25400 annum simple interest?