Percentage Questions

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?

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

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

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

The ratio of marks obtained by two students A and B is 6 ∶ 5. The sum of their marks is 440. If the average of their percentage marks is 55, then the maximum marks for which the examination was conducted were:

If two numbers are 12% and 48% of a third number, what percentage is the first number of the second number?

A number is first increased by $20\%$ and then decreased by $20\%$. What is the net percentage change?

A vendor bought 15 kg of rice at a certain rate per kg. After a week, he sold 6 kg of the rice at 20% profit, 6 kg at neither profit nor loss and 3 kg at 10% loss. In this transaction, what is his profit percentage?

The average of n numbers is 42. If 60% of the numbers are increased by 5 each and the remaining numbers are decreased by 10 each. then what will be the average of the numbers so obtained?

Sudha decide to donate 12% of her monthly income to an orphanage. On the day of donation, she changed her decision and donate a sum of Rs. 3,600, which was equal to 60% of what she had decided earlier. What is her monthly income (in Rs.)?

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:

The increase in the price of a certain item was $25\%$. Then the price was decreased by $20\%$ and then again increased by $10\%$. What is the resultant increase in the price?

A cricket team lost 60% of the matches it played (assuming no match was a draw, a tie or cancelled). If it won 44 matches, then the number of matches it played is:

An article is sold for Rs. x. If it is sold at 66
3
2
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% of this price, there is a loss of 20%. What is the percentage profit when it is sold for Rs. x?

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?

If the numerator of a fraction is increased by 20% and the denominator is decreased by 30%, the fraction obtained is
25
39
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. The original fraction is:

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

In a cricket test match, Anuj completed his double century with 15 sixes and 18 fours. What percentage of runs did he make by running between the wickets to complete the double century?

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
2
1
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days. Working together, B and C can complete 44% of the original work in:

A number is increased by 20%, then decreased by 27%, and then further increased by 10%. What is the net increase/decrease percentage in the number (correct to the nearest integer)?

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?

If (x+10)% of 300 is 57.5% more than x% of 250, then 15% of x is what percentage less than 20% of (x+13)?

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?

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?

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 $₹4,200$?

If the marked price of a laptop is $15\%$ more than its cost price and the shopkeeper offers a discount of $10\%$ on the marked price of the laptop, then find the profit percentage of the laptop.

$78\%$ of $450$ is:

Directions: The following pie charts represent the distribution of candidates who were enrolled for an entrance examination and the candidates (out of those enrolled) who passed the examination in different institutes ($P,Q,R,S,T,V,X$). Total Enrolled Candidates = $12000$ Percentage Distribution of Enrolled Candidates:$P=22\%$$Q=15\%$$R=10\%$$S=17\%$$T=8\%$$V=12\%$$X=16\%$ Total Passed Candidates = $8000$ Percentage Distribution of Passed Candidates:$P=18\%$$Q=17\%$$R=13\%$$S=16\%$$T=9\%$$V=14\%$$X=13\%$ Study the charts and answer the question that follows. The number of candidates who passed from institutes $P$ and $Q$ together exceeds the number of candidates who enrolled from institutes $T$ and $R$ together by:

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?

If decreasing $70$ by $x\%$ yields the same result as increasing $60$ by $x\%$, then $x\%$ of $91$ is:

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

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

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

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

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

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

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?

Three-fourth students of a class are boys. If 120 girls are added to the class, then three-fourth students of the class would be girls. What percentage increment should be there in the girls to have 40 girls in the class?

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.

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?

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:

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 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.

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?

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:

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:

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:

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

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)

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?

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)A4230B4532C3626D5136E5440What percent of total number of units sold by companies A, B and D is equal to the number of units manufactured by company C? (correct to one decimal place)

In a Panchayat election, three contestants - A, B, and C - are contesting. 75% of the total population of 8000 cast their votes. There were no invalid or NOTA votes in the election. A got the least votes, with only 300 votes. B got 66% of the total votes and won the election. How many votes did B get?

The price of a trouser is first decreased by 12% and then increased by 15%. If the initial price of the trouser was ₹1,500, find the final price (in ₹) of the trouser.

In a college election between two rivals, a candidate got 30% of the total votes polled. He was defeated by his rival by 200 votes. The total number of votes polled was: