Percentage Questions

Mr. Jones' total annual gross salary, which was ₹ 10 lakhs per year in 2007, was reduced by 10% in 2008. In 2007 his family expenditure for food items was 40% of the total annual gross salary. The prices of average food items increased by 5% between 2007 and 2008. Assuming that the family consumed the same amount of food in 2008, the percentage expenditure on food items, calculated on total annual gross salary in 2008, is

Two numbers are respectively 20% and 25% lower than a third number. By how much percentage is the second number lower than the first?

Two numbers are respectively $12 \frac{1}{2}\%$ and 25% more than a third number. The first number as a percentage of the second number is

The quantity of water (in ml) needed to reduce $9$ ml shaving lotion containing $50\%$ alcohol to a lotion containing $30\%$ alcohol, is

$6$ c.c. of a $20\%$ solution of alcohol in water is mixed with $4$ c.c. of a $60\%$ solution of alcohol in water. The alcoholic strength of the mixture is

In some quantity of ghee, $60\%$ is pure ghee and $40\%$ is vanaspati. If $10$ kg of pure ghee is added, then the strength of vanaspati ghee becomes $20\%$. The original quantity was

An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B type petrol. Again when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank?

A bag contains 600 coins of 25 p denomination and 1200 coins of 50 p denomination. If 12% of 25 p coins and 24% of 50 p coins are removed, the percentage of money removed from the bag is nearly

The price of rice is reduced by 2%. How many kilograms of rice can now be bought for the money which was sufficient to buy 49 kg of rice earlier?

I bought $5$ pens, $7$ pencils and $4$ erasers. Rajan bought $6$ pens, $8$ erasers and $14$ pencils for an amount which was half more than that I had paid. What percent of the total amount paid by me was paid for the pen?

Solve $[ 180\% \text{ of } ($x$) ] \div 2 = 504$

In an examination, 96% of students passed and 500 students failed. How many students did appear at the examination?

Directions: Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and give answer. What is the value of 20 percent of $x$? I. One-fourth of 20 percent of $x$ is 5. II. $4x = S$, $5y = S$ and $y = 80$.

Directions: Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and Give answer (a) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question; Give answer (b) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question; Give answer (c) if the data either in statement I or in statement II alone are sufficient to answer the question; Give answer (d) if the data even in both statements I and II together are not sufficient to answer the question; Give answer (e) if the data in both statements I and II together are necessary to answer the question. What is the population of State A? I. Population of State B is $80\%$ of the population of State A. II. Average population of States A and B is 18 lakhs.

Directions: Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and Give answer (a) if the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question; Give answer (b) if the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question; Give answer (c) if the data either in statement I or in statement II alone are sufficient to answer the question; Give answer (d) if the data even in both statements I and II together are not sufficient to answer the question; Give answer (e) if the data in both statements I and II together are necessary to answer the question. How many students are there in the class? I. There are 40 girls in the class. II. The boys are $80\%$ of the total number of students in the class.

Directions: Each of the following questions consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. How many children are there in the class? I. $20\%$ children in the class can speak only Hindi. II. 44 children can speak languages other than Hindi. III. There are 30 boys in the class.

Directions: Each of the following questions consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is Sumit's present salary? I. The salary increases every year by $12\%$. II. His salary at the time of joining was ₹ 3500. III. He had joined exactly 7 years ago.

Directions : Each of these questions is followed by three statements. You have to study the question and all the three statements given and decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the questions. A $25\text{ m}$ long wire is cut into 3 pieces. How long is the longest piece? I. Two pieces are each $1\text{ m}$ shorter that the longest piece. II. Two pieces of the wire are of the same length. III. The longest piece of the wire is $12.5\%$ more than the smallest piece.

Read the following passage and answer the given questions. Study the following given pie - charts carefully and answer the questions given below. The first pie chart represents the breakup of the number of employees working in different departments of an organization and the second pie chart represents the distribution of promotion of employees. <img src="/api/images/employee-department-distribution-and-promotion-pie-charts.png" alt="Pie charts displaying the breakup of 6,000 employees across departments and the distribution of 1,200 total promotions" width="300" height="200" loading="lazy" decoding="async" class="rounded border border-gray-300 mx-auto my-4" /> If the ratio of number of male employees to the female employees in the production department is 2 : 3 and the ratio of number of male employees to female employees who get promotions in the same department is 4 : 5, then what percent of the female employees get promotions in the production department?

Read the following passage and answer the given questions. Study the following given pie - charts carefully and answer the questions given below. The first pie chart represents the breakup of the number of employees working in different departments of an organization and the second pie chart represents the distribution of promotion of employees. <img src="/api/images/employee-department-distribution-and-promotion-pie-charts.png" alt="Pie charts displaying the breakup of 6,000 employees across departments and the distribution of 1,200 total promotions" width="300" height="200" loading="lazy" decoding="async" class="rounded border border-gray-300 mx-auto my-4" /> The difference between the percentage of the number of employees, who get promotions from the HR department and IT department is: