Percentage Questions

A shopkeeper bought $56$ dozen eggs at ₹$2.50$ per egg. $120$ eggs broke in transportation. He sold the remaining eggs at ₹$2.75$ each. What is his profit or loss per cent?

The present population of a city is 60,000. If the rate of increase is 10% per year, find the population of the city after 2 years.

The number of tourists visiting various states is given as follows:Maharashtra = $140$ Karnataka = $90$ Rajasthan = $80$ Haryana = $100$ Assam = $115$ Kerala = $215$ Goa = $260$ The number of tourists to which of the following states is less than $10\%$ of the total number of tourists?

On selling 2800 school bags, Anita earns a profit equal to the sale price of 420 school bags. What is the gain percentage that Anita earned?
Note: round off to two decimal places

If 23% of 'x' is 46, then 'x' is ________

The price of Petrol increased by $25\%$. In order that expenses on petrol should not increase, one must reduce travel by

If 3.4% of 600×2.5% of x=382.5, then the value of x is:

The provided pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and answer the question based on it.

If the marked price of a book is set at $40\%$ above the cost price, and the marked price is $\text{₹}280$, what is the cost of the paper used in one copy of the book?

The cost price of an article is $16\%$ less than its selling price. What is the profit or loss percentage (to the nearest integer)?

There are $35$ girls and $15$ boys in a music club. $10$ new girls join the club. What is the percentage of girls in the club now?

If the selling price of 10 chairs is the same as the cost price of 8 chairs, find the loss percentage.

A man gets a discount of 32% and then 25% on his shopping bill of Rs. 5000. What is the total discount percentage he got?

If a person invests Rs. 33250 in an account that yields 7.4% p.a. simple interest, then how much (in Rs.) does he has after 5 years?

A store announces a discount of $27\%$ and then allows another discount of $18\%$. What is the final sale price (in ₹, to the nearest integer) of a bed whose marked price is ₹$37,000$?

The following table shows the percentage of marks obtained by five students in four subjects in an examination.
Student/Subject Maths Physics Chemistry Computer Science
A 90% 65% 76% 64%
B 67% 93% 55% 56%
C 85% 61% 70% 80%
D 59% 75% 84% 91%
E 94% 48% 99% 99%
How many students scored more than 60% of marks in all the four subjects?

A single discount equivalent to three successive discounts of 10%, 12% and 15% is:

A man spends ₹$78,000$ per month from his salary. He saves $40\%$ of his salary. What is his salary (in ₹) for the whole year?

The monthly income of Reena was ₹75,200 and her monthly expenditure was ₹22,500. Next year, her income increased by 25% and her expenditure by 14%. Find the percentage increase in her savings (rounded off to 2 decimal places).

The given pie-chart shows the number of students admitted into various schools, A, B, C, D, E, in a town. The total number of students is 6500. The number of boys in each school is given by the table. Study the pie-chart and the table carefully and answer the question that follows.
Note: For the purpose of calculation, the degree distributions for schools A, B, C, D, and E in the pie chart correspond to total strength proportions that yield total students as follows: A = 1400, B = 1500, C = 1000, D = 1100, E = 1500 (Total = 6500).

Schools A B C D E
Number of boys 800 850 600 700 765
The total number of boys in schools A, C, D is what percentage of the total number of girls in schools B, C, E (rounded to 2 decimal places)?

If 70 is subtracted from 70% of a number, the remainder is 70. What is the number?

In a school, periodical examinations are held every two months. During the academic session from April 2001 to March 2002, a Class IX student appeared in each of these periodical exams. The line graph below shows the total marks obtained by the student in each periodical exam. Maximum Total Marks in each periodical exam = 500.



What is the percentage of the marks obtained by the student in the periodical exams of August 2001 and October 2001 combined?

A salesman sold an article at three-fifth of the marked price. By doing so, he gained 20%. The ratio of the marked price and the cost price of the article is:

Examine the table and answer the question.
Number of Candidates Appeared and Qualified in a Competitive Examination from Different States Over the Years:



Total number of candidates qualified from all the states together in 1998 is approximately what percentage of the total number of candidates qualified from all the states together in 2000?

The price of petrol rises from Rs. 80 to Rs. 100. What is the percentage increase in price?

The bar graph given below shows the sales of books (in thousands) from five branches of a publishing company during two consecutive years 2015 and 2016. What percentage (rounded off to 2 decimal places) of the average sales of branches P1, P3 and P5 in 2016 is the average sales of branches P1, P2, P3 and P4 in 2015?

Three pipes can fill a tank in 15 hours, 12 hours and 10 hours, respectively. If all the three pipes are opened simultaneously for 3 hours, then what percentage of the tank will remain unfilled?

In a class, the numbers of boys and girls are in the ratio of $3:5$. What is the percentage of boys in the class?

If the selling price of 45 articles is equal to the cost price of 50 articles, the loss or gain percentage is:

A can do a certain work in 40 days. B is 60% more efficient than A. Both work together for 10 days. C alone completes the remaining work in 10
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days. Working together, B and C can complete 44% of the original work in:

Study the given table and answer the question that follows.
The table shows the percentage population of four states below poverty line and the proportion of male to female.



If the population of states A and D is $18,000$ each, then what is the total number of females below the poverty line in these states combined?

The following distribution represents candidates who were enrolled for a competitive examination, and the candidates (out of those enrolled) who passed the exam from five different institutes P, Q, R, S and T.
Suppose the total number of enrolled candidates is 7500 with distribution: P = 22%, Q = 30%, R = 10%, S = 18%, T = 20%.
The total number of passed candidates is 4000 with distribution: P = 18%, Q = 24%, R = 14%, S = 22%, T = 22%.

The total number of candidates who enrolled in institutes P, R and T together is what percentage more than the number of candidates who passed from institutes P, R and T together?

The price of notebooks increased by 15%. How many notebooks can be purchased for the amount of money that was sufficient to purchase 253 notebooks?

A reduction of $20\%$ in the price of rice enables a customer to purchase $125\text{ kg}$ more for $\text{ formulations }₹8,000$. What is the original price of rice per kg?

Krishna bought a computer and paid 25% less than its original price. He sold it at 48% profit on the price he had paid. Find the percentage of profit earned by Krishna on the original price.

A manufacturer undertakes to supply $2000$ pieces of a particular component at $\text{₹}50$ per piece. According to his estimates, even if $5\%$ components fail to pass the quality test, then he will make a profit of $25\%$. However, as it turned out, $50\%$ of the components were rejected. Then what is the loss to the manufacturer?

A coat marked at ₹145 is offered at ₹127.6. The rate of retail discount offered is:

A man donates 5% of his monthly income to an orphanage and deposits 20% of the remaining income in a bank. If he is left with Rs. 14,250, find his monthly income.

Two numbers A and B are respectively 80% and 50% more than the third number C. What is the ratio of A and B?

Due to decrease in manpower, the production in a factory decreases by 25%. By what per cent should the working hours be increased to restore the original production?

The population of a village increases by 6.25% every year. If the present population of the village is 4046, then what was its population 2 years ago?

Two employees $A$ and $B$ are paid a total of $\text{Rs. }13,455$ per week by their employer. If $A$ is paid $125\%$ of the sum paid to $B$, how much is $B$ paid per week?

The initial population of a country is 2,04,800. If the birth and the death rates are 12% and 7%, respectively, then find the population of the country after 2 years.

Two years ago, a survey revealed that 2400 students in a college were able to use computers at home. This year, the number of students who are able to use computers at home has increased by 30%. How many students are now able to use computers at home?

Two numbers are, respectively, 30% and 40% more than the third number. The ratio of the second number to the first number is:

If a equals 20% of c and b equals 40% of c, then which one of the following is 150% of b?

Total number of students in different subjects of a college and percentage of girls and boys are shown in the below table. Girl students and boy students are NOT having multiple subjects.
Subjects Number of Students Girls % Boys %
Mathematics 840 40 60
Chemistry 220 70 30
Physics 450 30 70
Biology 200 80 20
What is the ratio of girl students of Mathematics and Chemistry to the number of boy students of Physics and Biology?

A number is decreased by $24\%$ and then increased by $18\%$. What is the net increase or decrease per cent in the number?

If $70\%$ of a number is $0.35$, then find $120\%$ of that number.

The ratio of cost price and selling price is $15:14$, then the loss percent is:

A man saves ₹6,000 per month from his salary. He spends $75\%$ of his salary each month. What is his annual salary (in ₹)?

The length of a rectangular plot is increased by $60\%$. By how much percentage should its breadth be decreased so that the total area remains the same?

The bar graph shows the number of SUVs of different brands sold by a dealer in a month. Study the diagram and answer the following question.Units sold of brand B was lesser than that of brand D by ________.

The savings of a man is equal to $20\%$ of his expenditure. If his income increases by $25\%$ and expenditure increases by $18\%$, then his savings will increase by:

There are 1550 boys and girls in a school. The number of girls exceeds the number of boys by 500. What is the percentage (to the nearest integer) of girls in the school?

In an election, there were three candidates - A, B and C. The winner, A, got five times the votes received by C. B got 240 votes which was 1.5 times the votes of C. How many total votes were polled in the election if there were no bogus votes?

If each side of a rectangular field is increased by 32%, then by how much percent does the area of the field increase?

If the sales tax be reduced from $3\frac{1}{2}\%$ to $3\frac{1}{3}\%$, what difference does it make to a person who purchases an article whose marked price is $\text{Rs. }4,200$?

Ram buys 13 balls for Rs. 390 and sells them at the rate of Rs. 33 per ball. Find his gain percentage.

Refer to the data table below and answer the following question.
India's exports in 2015

Category Value in million US$
Jewellery 825
Software 750
Cotton 875
Steel 875
Electronics 975
Jewellery was what percent of total exports?

If $70\%$ of a number is $56$, what is the value of the number after increasing it by $25\%$?

What is the value of 64% of 75% of 8100?

Successive discounts of $50\%$ and $40\%$ equal a single discount of:

Sandeep spends 32% of his annual income on food, 20% of the remaining income on travelling, and 35% of the remaining income on clothes, and still saves ₹70,720 per year. What is the annual income (in ₹) of Sandeep?

In an election, two candidates contested. The winner secured 54% of the votes and won by 256 votes. Find the total number of votes polled if 96 votes were declared invalid?

An engineering student has to secure $36\%$ marks to pass. He gets $53$ marks and fails by $37$ marks. Find the maximum marks.

Refer to the below data table and answer the following question.PartnersPresent % shareAnand10Basu25Chinmay30Dhiraj15Ejaz20If the company has issued six lakh ($6,00,000$) shares between its five partners and if Anand offers to sell $15,000$ of his shares to Dhiraj, then Dhiraj will have how many shares?

In an election, the total number of valid votes cast was 3,75,000. Candidate A secured 48% of the valid votes, with the rest of the valid votes going to the winner, Candidate B. By how many valid votes did Candidate B win over Candidate A?

The valuation of a house depreciates at 10% in a year, compared to its value at the beginning of that year. If the current value of the house is Rs. 40,00,000, find what the value of the house will be three years from now.

The given chart represents the sales of automobiles in India (by type, in million units) from the year 2011 to 2014. The number of commercial vehicles sold in 2012 was approximately what percentage of the total number of vehicles sold in 2011? (Correct to two decimal places)

In an election contested by two candidates, one candidate got 40% of the total votes and still lost by 800 votes, what is the total number of votes cast?

$14\frac{1}{4}\%$ of which of the following numbers is $12$?

Shweta spends 21% of her monthly salary on house rent, 14% on education, and 13% on entertainment, and still saves ₹5,408. What is her monthly salary (in ₹)?

If an electricity bill is paid before the due date, one gets a reduction of 5% on the amount of the bill. By paying the bill before the due date, a person got a reduction of ₹250. The original amount of his electricity bill (in ₹) was:

In an election, a candidate secures 40% of the votes, but is defeated by the only other candidate with a majority of 298 votes. Find the total number of votes recorded.

Roshan owned a plot of land having an area that was 20% more than the area of the plot owned by Susan, while the area of the plot of land owned by Jacob was 30% more than the area of the plot owned by Roshan. If the area of the plot owned by Susan was 1250 square feet, what was the area (in square feet) of the plot owned by Jacob?

In a school, an exam was held for 80 marks in which 32 was the passing marks. Who among the following scored the minimum marks?
[Note: Round off up to one decimal only.]

In an election between two candidates, 75% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 9504 votes, which were 80% of the valid votes. Find the total number of votes enrolled in that election.

If the cost price of a table is ₹400 and the selling price is ₹600, then find the profit percentage.

A number is first decreased by $30\%$ and then increased by $30\%$. What is the net increase or decrease percentage?

During 2021, the population of a city increased by 8% and in 2022, it increased by 10%. At the end of 2022, its population was 47520. The population of the city at the end of 2021 was:

The price of a bike is first increased by 21% and later on, it is decreased by 34% due to a reduction in sales. Find the net percentage change in the final price of the bike.

In an election between two candidates, 10% of the voters did not cast their vote and 5% of the votes polled were found invalid. The successful candidate got 55% of the valid votes and won by a majority of 1,710 votes. The number of voters enrolled on the voters list was:

In a company, 35% of employees are from a science background and
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th
are from an arts background. The rest are either illiterate or with a commerce background. The number of illiterate is 300 which is
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of the commerce background. How many employees are from science or arts background?

The monthly salaries of A and B together amount to ₹45,000. A spends 75% of his salary and B spends 80% of his salary. If now their savings are the same, then the salary of B (in ₹) is:

A student multiplied a number by
13
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instead of
6
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. What is the percentage error in the calculation?

A factory's yearly budget for the purchase of employees' protection shoes increased by $60\%$ this year over last year. If the price of the shoes increased by $20\%$ this year, then the number of shoes it can purchase this year is what percent greater than the number of shoes it purchased last year?

In a class of 80 students, 60% passed in Economics and only 20% passed in History. If the data represents disjoint performance components outside a combined pass criteria, or assuming the question denotes only passed in history vs economics. Let's find students who failed both directly when maximum independence is given as common context.
The number of students who neither passed in Economics nor in History are:

In an entrance test one requires 522 marks out of a maximum of 600 to qualify. What is the cut-off in percentage terms?

Which of the following schemes will yield minimum discount?
2 successive discounts of 5% and 5%

Single discount of 10%

2 successive discounts of 8% and 2%

If the interest on money be 1 paisa per rupee per month, what is the rate per cent per annum?

A and B are two heavy steel blocks. If B is placed on top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?

If each side of a square field is increased by $12\%$, then by what percentage has the area of the field increased?

The number of vacancies in 2014 were lesser than that in 2015 by:

If $\text{V}$ is $32\%$ of $\text{H}$, then what percent of $\text{V}$ is $\text{H}$?

A wholesaler sells a watch to a retailer at a gain of $20\%$ and the retailer sells it to a customer at a loss of $10\%$. If the customer pays $\text{Rs }874.8$, what had it cost the wholesaler?

A shopkeeper made a profit of $16\%$ on his goods. If the price at which he buys decreases by $20\%$ while he reduces his selling price by $23\%$, what is now his percentage of profit? (correct to one decimal place)

A person, while trading the shares of a particular company, observes that its price has gone down by 10% from the previous day. In anticipation of increment on the next day, he holds it for the next day. But the share price further falls down by another 8% of the previous day. Then he sells his shares and gets ₹12,420. How much could he have saved had he sold it the previous day?

Study the following table, (which shows the number of units of an item manufactured and sold by $5$ companies) and answer the question.CompanyNo. of units Manufactured (in thousands)Sold (in thousands)A4230B4532C3626D5136E5440Which Company sold the highest percentage of units as compared to manufactured by it?

Amina saves $16\%$ of her income. Now her income is increased by $20\%$ but she still saves the same amount as before. What is the percentage increase in her expenditure?

The price of an AC increases and decreases in every alternate year by 13
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%. It started with an increase in 2004. The price of the AC in 2007, as compared to that in 2004 (correct to two places of decimals):