If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

GMAT Exam > GMAT Questions > If the tuition fees of University A increased...

If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?

(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.

(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.

a)
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c)
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d)
EACH statement ALONE is sufficient.
e)
Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.

Correct answer is option 'C'. Can you explain this answer?

Join for Free

Join for Free

Verified Answer

If the tuition fees of University A increased by 25% in four years to ...

Steps 1 & 2: Understand Question and Draw Inferences

Let tuition fees of University A in 2008 and 2012 be A₀and A₁respectively

Let tuition fees of University B in 2008 and 2012 be B₀and B₁respectively

It is given that:

A₁ = $100,000

And that:

Thus, we have inferred the values of A₀ and A₁ from the question statement.

The question asks us about the percent increase in the tuition fees of University B.

In order to find this percent increase, we need:

(i) Either the values of B₀ and B₁.

(ii) Or, a relationship of the form B₀ = kB₁ where k is a constant

Step 3: Analyze statement 1

As per Statement 1,

In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.

A₀ = 2.5 (B₀)

Since we know the value of A₀, from the above equation, we will be able to find the value of B₀.

However, this statement provides us no clue about the value of B₁ or even about the relationship between B₀ and B₁.

Thus, Statement 1 is not sufficient.

Step 4: Analyze statement 2

As per Statement 2,

In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B

A₁ = B₁ + 30,000

B₁ = 100,000 – 30,000

B₁ = 70,000

However, Statement 2 gives us no idea about the value of B₀ or even about the relationship between B₀ and B₁.

Therefore, Statement 2 is Not Sufficient.

Step 5: Analyze Both Statements Together (if needed)

From Statement 1:

A₀ = 2.5 (B₀)

80000 = 2.5 (B₀)

Thus,

B₀ = 32,000

From Statement 2:

B₁ = 70,000

Thus, we now know the value of B₀ and B₁.

So, we will be able to calculate the percent increase in the tuition fees of University B from 2008 to 2012.

Thus, both the statements together are sufficient to arrive at a unique solution.

Answer: Option (C)

View all questions of this test

View all answers Start learning for free

Explore Courses for GMAT exam

Similar GMAT Doubts

Steven and Stuart took a job in different companies at the same time. Stevens salary increased by a fixed amount at the end of every year and Stuarts salary increased by a fixed percentage at the end of every year. If the increase in the salary of Steven at the end of the third year was equal to the increase in the salary of Stuart at the end of the second year, what was the difference in the salaries of Steven and Stuart when they took the job?(1) Stevens salary after 2 years was 20% more than the salary at which he took the job(2) The increase in the salary of Stuart at the end of the second year was 11% of the salary at which he took the job.

View answer

Directions: Each Data Sufficiency problem consists of a question and two statements labeled (1) and (2), that provide data. Based on the data given plus your knowledge of mathematics and everyday facts, you must decide whether the data are sufficient for answering the question. The five answer choices are the same for every data sufficiency question.A shopping center increased its revenues by 10% between 2010 and 2011. The shopping center’s costs increased by 8% during the same period. What is the firms percent increase in profits over this period, if profits are defined as revenues minus costs?(1) The firms initial profit is $200,000.(2) The firms initial revenues are 1.5 times its initial costs.

View answer

The area of a rectangle is 28 square centimeter. What is the perimeter of the rectangle?(1) If the length of the rectangle is increased by 10 centimeter and the breadth is decreased by 5 centimeter, the perimeter of the rectangle is eight times the original length of the rectangle.(2) If the length of the rectangle is increased by 350% and the breadth is increased to 350% of the original breadth, the perimeter of the rectangle is 63 centimeters more than the original perimeter of the rectangle.

View answer

Directions: Each Data Sufficiency problem consists of a question and two statements labeled (1) and (2), that provide data. Based on the data given plus your knowledge of mathematics and everyday facts, you must decide whether the data are sufficient for answering the question. The five answer choices are the same for every data sufficiency question.The total cost of food for the raccoons at the Altadena Wildlife Rescue has increased as the number of raccoons at the Rescue has increased. If it costs the same amount to feed each raccoon, is the cost of food for 7 raccoons more than $2,000 annually?(1) It costs more than $1,000 annually to feed 4 raccoons.(2) It costs more than $1,500 annually to feed 5 raccoons.

View answer

If the total price of n equally priced stock shares is p, what is p?(1) If the price of each share were to increase by $1, p would increase by $40.(2) If the price of half of the shares increased by 25 percent each, p would increase by $10.

View answer

Top Courses for GMATView all

GMAT Focus Edition Mock Test Series 2025

Top Courses for GMAT

View all

If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?.

Solutions for If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.

Here you can find the meaning of If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If the tuition fees of University A increased by 25% in four years to $100,000 in the year 2012, by what percent did the tuition fees of University B increase from 2008 to 2012?(1) In the year 2008, the tuition fees of University A was 2.5 times the tuition fees of University B.(2) In the year 2012, the tuition fees of University A is $30,000 more than the tuition fees of University B.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.

Explore Courses for GMAT exam