Percentage Questions

$x$ + 30.01% of 651 ÷ 25.05% of 59.98 = 135

$\frac{4}{3}$ of 25% of $\frac{18}{19}$ of 57 = $x$

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

Madhur's present salary is ₹ 3500. It will increase by 10% next year. What will be Madhur's salary after the increment?

(12% of 555) + (15% of 666) = $x$

Nagaraj could save 10% of his income. But 2 years later, when his income increased by 20%, he could save the same amount only as before. By how much percentage has his expenditure increased?

14% of 14 + 28% of 28 + 92% of 96 - 15% of 85 = $x$

In a village three people contested for the post of village Pradhan. Due to their own interest, all the voters voted and no one vote was invalid. The losing candidate got 30% votes. What could be the minimum absolute margin of votes by which the winning candidate led by the nearest rival, if each candidate got an integral per cent of votes?

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 percentage of families in the city have telephones? I. 50% of the families of the city possess television. II. 30% of the television owners of the city have telephones.

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. By what percent is the salary of the elder son more than that of the younger son? I. The father's salary is less than that of the elder son by 37%. II. His salary is less than that of the younger son by 30%.

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 are the pass marks in an examination? I. A student secures 30% marks but fails by 10 marks. II. The total marks is 200.

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. What is Mr. Roy's annual income for the year April 2011 to March 2012? I. Annual income of Mr. Roy is $70\%$ of his boss' annual income. II. Mr. Roy's income for April 2011 was ₹ 12000 and his income increased every month by $10\%$.

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. A, B and C secured $45\%$, $50\%$ and $60\%$ marks respectively in Biology. D's marks in Biology are 10 more than A's marks and 20 less than C's marks. Find out the total marks of the four students. I. Maximum marks for Biology are 200. II. Total of D's and A's marks is 190. III. C has obtained 120 marks.

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 was the total number of candidates appeared at the examination? I. $30\%$ of appeared candidates succeeded in the examination. II. The number of unsuccessful candidates was 1000 more than the successful candidates. III. 1750 candidates were unsuccessful.

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.