Percentages Questions

The following table gives the number of post-graduate students enrolled in 4 different colleges A, B, C, and D in a city over the years 2015-2018 and also the number of students who passed the final examination during these years. Study the table carefully and answer the question.

$57\%$ of Ranita’s weekly income is equal to $76\%$ of Bhaskar’s weekly income. If Ranita’s weekly income was reduced by $\text{₹}400$, while Bhaskar’s weekly income did not change, the ratio of the weekly incomes of Ranita and Bhaskar, respectively, would have been $6:5$. What is Bhaskar’s weekly income (in $\text{₹}$)?

In an election between two candidates, one got $60\%$ of the total valid votes. $25\%$ of the votes were invalid. If the total number of votes was $15,000$, then find the number of valid votes that the other candidate got.

The following table shows the number of students studying in 6 different classes of 6 different schools:



The number of students studying in class X from school P forms approximately what percentage of the total number of students studying in class X from all schools together?

The table shows the marks obtained by five students in Mathematics and Physics. Refer to the table to answer the question.



If the marks obtained by E in Mathematics are increased by $25\%$ of the original marks, what will be his new percentage in Mathematics, assuming the maximum marks are $150$?

Refer to the data below and answer the following question:



If the company has issued $8\text{lakh}$ shares between its 6 partners and if Varma offers to sell $10000$ of his shares to Pandey, then how many shares will Pandey have?

In an examination, there were two papers, A and B, and the maximum mark in each of the two papers was 10. However, the weights assigned to papers A and B were in the ratio 2: 1, respectively. Jonathan scored 8 out of 10 in Paper A and an overall 70% in the examination. How much did he score in Paper B out of 10?

A store is running a scheme for offering a discount of 12% if the customer pays instantly, and a discount of 6% if purchased through credit card. The benefit of the scheme may be split on the amount of payment, however only one discount shall be given on one item. There is no discount on any other type of transaction. Ankur purchased a shirt from the store, whose marked price was ₹2,200, through credit card and paid instantly for the purchase of a coat marked at ₹7,500. What was the total amount (in ₹) billed?

In measuring the sides of a rectangle, one side is taken 10% in excess, and the other 8% in deficit. The error percent in the area calculated from these measurements is:

In an examination, there were two papers, A and B, and the maximum mark in each of the two papers was 10. However, the weights assigned to papers A and B were in the ratio 2:1, respectively. Riddhi scored 8 out of 10 in Paper B, and an overall 70% in the examination. How much did she score in Paper A out of 10?

If the GST on a certain article was Rs. 600 two years back and it increased to Rs. 750 this year, find the percentage increase in the GST on that article.

A city's population grows by 10% in the first year, 20% in the second year and 10% in the third year. If the population after 3 years is 8,71,200, then what was the original population 3 years ago?

The savings and expenditure of a family in a month on different heads is shown in the given pie chart. The family saves ₹ 8,000 per month. Find the expenditure (in ₹) on education.

The marked price of an article is $35\%$ more than its cost price. If a discount of $15\%$ is given, what will be the profit percentage?

The strength of a school increases and decreases every alternate year by $15\%$. If it started with an increase in 2012, then the strength of the school in the beginning of 2015, as compared to that in 2012, had (correct to two decimal places):

In an election, the winner was supported by $46\%$ of all the voters in the list, and he got $410$ votes more than his only rival. $10\%$ of the voters on the voters' list did not cast their votes, and $60$ voters cast their ballot papers blank. How many voters were on the list?

A mixture of $750\text{kg}$ of alloy of copper and tin contains $25\%$ tin. How much tin must be added so that it becomes $70\%$ of the mixture?

A, B and C are three numbers. If A exceeds B by 70% and B is 20% less than C, then A : C is:

The rice sold by a grocer contained 20% of low-quality rice. What quantity of good-quality rice should be added to 175 kg of mixed rice so that the percentage of low-quality rice remains 10%?

There are twice as many girls as boys in a class. If 45% of the girls and 30% of the boys have submitted their consent for the outstation tour, then what per cent of the students have NOT submitted consent for the tour?

In an election between two candidates, one candidate got 60% of the valid votes. If the total number of votes polled were 8850, and 10% of the votes were invalid, then find the number of valid votes that the other candidate got.

In an examination, the ratio of practical to theory marks is 3:7. If 80% of the marks are scored in the practical and 60% of marks are scored in the theory, what is the ratio of marks scored in the theory and the practical?

The height of Ankit was 160cm last year. In a year, his height increased by 8%. What is his height now?

In an election between two candidates, 84 votes were declared as invalid. The winning candidate secures 62% of the valid votes and wins by 96 votes. The number of votes polled is:

The income of a branch manager increases by $15\%$ to $\text{Rs. }69,000$ after one year. In the next year, due to economic depression, the income falls by $10\%$ and in the third year, it again falls by $5\%$. What is the income of the branch manager after three years?

The average of twenty positive numbers is $x$. If each number increases by $20\%$, then $x$ will:

The salary of a typist was first raised by $20\%$ in the first year and then reduced by $15\%$ in the second year. If the typist's present salary is $\text{Rs. }1,224$, then what was his/her salary two years ago?

In a chief election, a candidate got $60\%$ of the total valid votes. $5\%$ of the total votes were declared invalid. If the total number of votes is $20,800$, then the number of valid votes polled in favour of the candidate is:

What is the percentage increase in the number if it becomes $6$ times the original number?

The price of a mobile is ₹15,000. During the annual sale, its price decreased in the ratio of 8:5. What is its decreased price (in ₹)?

A new scooter is valued at ₹1,20,000. At the end of each year, its value is reduced by 12% of its value at the start of the year. What will be its value (in ₹) after 2 years?

48% of the total marks is required to pass an examination and 80% to get a First Class with distinction. A student scored 817 marks and failed by 47 marks. How many marks should he secure to get First Class with distinction?

In the last two weeks of a sale, prices are reduced by 32%. What is the sale price (to the nearest rupee) of a microwave oven which originally cost ₹25,995?

A merchant buys an article for ₹ $18,960$ and sells it at a $15\%$ loss. What is the selling price of the article?

The following table shows the number of boys and the number of girls in 5 different classes, C1 to C5, of a school.
Class Boys Girls
C1 25 25
C2 30 20
C3 15 25
C4 28 32
C5 26 24
The number of boys in C5 is approximately what percent of the average number of girls per class?

By what percentage is 74% of 1894 more than 39% of the same number (correct to two decimal places)?

Sohan buys an old car for Rs. 2,47,000 and spends Rs. 18,000 on its repairs. If he sells the car for Rs. 2,78,250, his profit percentage is:

A trader marked the price of a commodity to include a profit of $25\%$ but allowed a discount of $16\%$ on the marked price. What will be his actual profit?

In an election there were two candidates Ram Singh and Sohan Lal. The total no. of voters in the constituency was 80000 and 80% of the total votes were polled. If 60% of the polled votes were cast in favour of Ram Singh, how many votes were received by Sohan Lal?

In a village, $60\%$ of families have a cow, $30\%$ of families have a buffalo and each of the $15\%$ of families has both a cow and a buffalo. In all, there are $960$ families in the village. How many families do not have a cow or a buffalo?

Examine a standard pie chart regarding the production of steel by five states where the percentage distribution is as follows: State A = $25\%$, State B = $18\%$, State C = $22\%$, State D = $19\%$, State E = $16\%$. What is the central angle that corresponds to the production of steel by State D?

Determine the value of $x$ if $30\%$ of $4200+35\%$ of $2400=x\%$ of $4200$.

A family's domestic expenditure pie chart shows the distribution of monthly income as follows: Food = $30\%$, House Rent = $25\%$, Child Education = $17\%$, Transport = $10\%$, Savings = $18\%$. If the total monthly income of the family is ₹ $42,500$, what amount of the monthly income remains after deductions for Child Education and House Rent?

By selling a tape-recorder for $\text{Rs. }1900$, I lost $5\%$. What percent shall I gain by selling it for $\text{Rs. }2080$?

There were two candidates in an election. $10\%$ of voters did not cast their votes. $60$ votes were found invalid. The winning candidate got $47\%$ of the total votes and won by $308$ votes. Find the number of voters enrolled.

With a $5\%$ discount on the cost of sugar, a buyer could purchase $2\text{ kg}$ more sugar for $\text{Rs. }608$. What is the original selling price of sugar per kg?

The average salary of male employees in a firm was $52$ and that of female employees was $₹42$. If the mean salary of the employees was $50$, what was the percentage of female employees?

A sports store offers a $10\%$ discount on its goods. The store offers a further discount of $5\%$ on the reduced price to those customers who pay by credit cards. If a customer wants to purchase a ball for $\text{Rs. }100$ and pays through a credit card, the amount (in $\text{Rs.}$) to be paid by the customer is:

If the numerator of a fraction is increased by 12% and its denominator is reduced by 8%, it gives a new fraction
17
16
​
. What is the original fraction?

The following chart represents the demand and production of five companies V, W, X, Y and Z.
If K% of the production of company W equals the production of company Z, then K equals:

(Note: Based on the standard exam data for this problem, the production of company W is 40 units and the production of company Z is 60 units.)

Mohan purchases a table at an MRP of Rs. 800, at a discount of 10%. If he sells it at Rs. 900, then the profit percentage is:

If 36 litres of 20% milk solution is mixed with 48 litres of 10% milk solution, then what will be the percentage concentration of milk in the final solution?

The average score in a test for 50 students is 44. Out of the total students, 40% of the students are girls and the rest are boys. The average score of boys is 20% less than that of girls. What is the average score of girls?

Abhay can do a work in 22 days. Nidhi is 28% more efficient than Abhay. The number of days Nidhi will take to do the same piece of work is:

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

A person sold an article at a loss of $8\%$. Had he sold it at a gain of $10.5\%$, he would have received $\text{Rs. }74$ more. What is the cost price (in $\text{Rs.}$) of the article?

What would be the interest accrued in two years if ₹ $800$ is invested @ $10\%$ interest compounded annually?

Tourists visiting a hill station during the selected months are as follows:
May: 4000, June: 5200, July: 6000, August: 5500.
What is the percentage increase in tourists from May to July?

Mobile phones sold by a store in six months are as follows:
January: 320, February: 280, March: 400, April: 360, May: 450, June: 390.
What is the percentage decrease in sales from May to June?

If $20\%$ of a number is $50$, what is $125\%$ of that number?

A shopkeeper bought a television for ₹ $15,400$ and sold it for ₹ $18,060$. Calculate the profit and profit percentage.

Riya invests ₹ $10,000$ in a savings account that offers an annual compound interest rate of $8\%$, compounded yearly. How much money will she have in the account after $3$ years?

Two numbers $X$ and $Y$ are respectively $20\%$ and $28\%$ less than a third number $Z$. By what percentage is the number $Y$ less than the number $X$?

After selling $110\text{ oranges}$, a shopkeeper claims that he makes a profit equal to the selling price of $22\text{ oranges}$. Find the profit percentage of the shopkeeper.

A college has raised $75\%$ of the amount it needs for a new building by receiving an average donation of \ 600$fromthepeoplealreadysolicited.Thepeoplealreadysolicitedrepresent$ 60\%$ of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, what would be the average donation from the remaining people to be solicited?

$8\%$ of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner, by obtaining $48\%$ of the total votes, defeated his contestant by $110\text{ votes}$. The total number of voters in the election was:

The cost price of milk is increased to ₹62 from ₹60. The milkman sold milk at 10% profit earlier. What is his profit now if he sells milk at the same rate?

Out of the total income, a family saves 15% and the rest of the amount is spent on three types of expenditure – health, education and food in the ratio of 1:2:2. The income is Rs. 300 less than thrice the expenditure incurred on education. What is the difference between the savings and the expenditure incurred on health?

Find the profit $\%$ if you buy bananas at the rate of Rs. 10 dozen and sell them at the rate of 10 bananas at Rs. 12?

A number exceeds $20\%$ of itself by 60. The number is:

If the difference between $30\%$ of a number and three fourth of that number is 63, then the number is:

If the side of a square is increased by $10\%$, then percentage increase in its area will be:

If $30\%$ of $(B-A)=18\%$ of $(A+B)$, then the ratio $A:B$ will be

Jatin buys an article for 10% less than its value and sells it for 10% more than its value. His gain percent is

The population of a village increases by 5% yearly. If at present the population of the village is 4410, then what was the population before two years?

If A's salary is $25\%$ more than that of B, then how much percent is B's salary less than that of A?

Jatin buys an article for $10\%$ less than its value and sells it for $10\%$ more than its value. His gain is

The population of a village increases by 5% every year. If the present population of the village is 4410, what was its population two years ago?

If A's salary is 25% more than that of B, then how much percent is B's salary less than that of A?