**What are Percentage Questions for CAT?**

The term "percent" is derived from the Latin 'per centum', meaning "hundred" or "by the hundred". The Percentage Questions for CAT covers some important questions related to profit & loss and Ratio & proportions. The percentage is a fraction or number expressed as a part of 100. The symbol of percentage is (%). The value of percent is computed by multiplying the numeric value of the ratio by 100.

So, the candidates thinking of appearing in the upcoming CAT Exam must clearly understand Percentage Questions for CAT formulas, concepts, and other related things. For example, to find 30 apples as a percentage of 1200 apples, one first computes the ratio of 30/1200 and then multiplies by 100 to obtain 0.25 %. Here, our experts have given details related to CAT Percentage Questions in a comprehensive manner so that all aspiring candidates can make their CAT Preparation efficiently.

**Types of Percentage Questions for CAT**

The percentage is a part of CAT Arithmetic Questions and comes under the Quantitative Ability of CAT. There are various types of Percentage Questions for CAT, which, if practised well by the CAT aspirants, will help them to score well.

Some of the types of CAT Percentage Questions are mentioned below:

- a) Percentage increase /decrease
- b) Change of base
- c) Applications based on Percentage

**Download Percentage Questions for CAT PDF**

As CAT Percentage Questions appear in the exam regularly, it is advised that candidates practice as many questions as possible. Solving the past year's papers and attempting CAT Mock Tests will help the candidate to understand the different kinds of questions that can be asked on this topic. Candidates can download the Percentage Questions for CAT PDF given below

**☛ ****CAT Questions on Percentage PDF Download**

**Sample CAT Questions on Percentage **

Listed below are some of the sample CAT Questions on Percentage. The candidates can go through the Percentage Questions for CAT given below in order to ace the quantitative aptitude section of the CAT Exam. The CAT Percentage Questions given below will provide the candidates with an overview of the type of questions that are asked on this topic.

You must also go through Percentage Questions for CAT from the previous year to better understand the kind of questions asked.

☛ See Also: CAT Previous Year Question Paper

**Question 1: 64% of a bigger number is 6 more than 75% of a smaller number. The bigger number is 140 more than, the smaller one. What is the sum of both numbers?**

**Answer: **1660

**Explanation:** Let the smaller number be x, then

The bigger number = (x + 140)

According to the question

(x + 140) × 64% – x × 75% = 6

0.64x + 89.6 – 0.75x = 6

⇒ x = 760

Required sum = Smaller number + Bigger number = x + (x + 140) = 760 + 900 = 1660

**Question 2: If the length of a rectangle is increased by 16% and its breadth is decreased by 25%, find the percentage decrease in the area of the rectangle.**

**Answer: **13%

**Explanation: **Let the original length and breadth of the rectangle be 100 units and 40 units, respectively.

Increased length = 100 x 116/100 = 116 units

Decreased breadth = 40 x 75/100 = 30 units

Area decreased by = (100 x 40) - (116 x 30) = 520 sq units

Required percentage ={520/(100 x 40)} x 100% = 13%

**Question 3: The total salary of A and B is Rs 60,000. If the salary of A increases by 8% and the salary of B increase by 6%, then their total salary would increase to Rs 64,100. Find the salary of B**

**Answer:** Rs 35000

**Question 4: The number of seats in a stadium is decreased by 15% and also the price of the ticket is increased by 20%. What is the effect on the revenue collected?**

**Answer:** 2% increase

**Explanation:** Let the number of seats in the stadium initially be 100.

Let the price of each ticket initially be Rs. 10.

Initial revenue of the stadium = 100 × 10 = Rs. 1000

New number of seats in the stadium = 85% of 100 = 85

New price of each ticket = 120% of 10 = Rs. 12

New revenue of the stadium = 85 × 12 = Rs. 1020

Increase in revenue of stadium = 1020 – 1000 = Rs. 20

Percent increase in revenue of the stadium = (20/1000) × 100 = 2%

**Question 5: A man spent 40% of his monthly income on food items. Of the remaining amount, he spent 80% on E M.I. Now he saves 5/6 of the remaining amount and then he saves 78,600 yearly. Find the monthly income of a man.**

**Answer:** 65500

**Formulas for CAT Percentage Questions**

CAT Questions on Percentage consists of a lot of formulas that the candidates need to learn to solve questions based on percentage easily. Solving questions using formulas will help the candidates to solve Percentage Questions for CAT quickly and accurately. Given below are some basic formulas for CAT Percentage Questions.

**Percentage to Fraction **

20% = 20 /100 = 1/5

35% = 35 /100 = 7/20

**Fraction to Percentage **

1/4 = 1/4 × 100 = 25% 7/8 = 7/8 × 100 = 87.5%

**Percentage increase and decrease **

Fraction for Percentage Increase

Increase of 20%

20% = 1/5

∴ New value = (1+ 1/5 ) × Original Value = 6/5 × Original Value Fraction for Percentage Decrease

Decrease of 14.28% 14.28% = 1/7

∴ New value = (1 – 1/7 ) × Original Value = 6/7 × Original Value

**Percentage Offset**

If the price of petrol is increased by 14.28%. By how much should you reduce your consumption to keep the expenses constant?

Let Price = 1, Consumption = 1 ⟹ Expenses = 1 × 1 = 1 P × C = P′ × C′ ⟹ 1 × 1 = 8 7 × C′ ∴ C′ = 7/8

Consumption to be reduced = (1 – 7/8 ) = 12.5%

**Percentage change**

If A is 20% less than B, then B is ______% more than A.

A = 4/5

B ⟹ B = 5/4 A

∴ B is (1 + 1/4 ) × A

∴ B is 1/4 more than A.

∴ B is 25% more than A.

**Successive percentage change**

If a change of a% is followed by another change of b%, then Net Change = a% + b% + ( ab 100)%

**How to Prepare Percentage Questions for CAT?**

Solving CAT Percentage Questions will help the candidates not only in the QA section but also in the Data Interpretation and Logical Reasoning of CAT. Following is given the tips and tricks to solve Percentage Questions for CAT:

- The CAT Percentage Questions involve certain formulas and shortcut tricks which, if followed thoroughly, will help the candidates to solve questions easily.
- The candidates should practice mock tests and previous year's question papers on percentages to ace the quantitative aptitude section of the CAT exam.
- It is advised to learn multiplication tables, square roots, and cube roots up to 20. This will help the candidates to solve Percentage Questions for CAT.

**Best Books for CAT Percentage Questions**

The candidates often get confused about which books they should refer to for preparing Percentage Questions for CAT. It is advisable that the candidates should always refer to the books and study materials of famous authors/publishers. The aspirants must choose the books containing all the topics under the CAT QA section. Candidates should refer to the best CAT Books for Percentage Questions for CAT. Candidates can refer to the notes available on the BYJU'S Exam Prep App. To get the concepts clear, candidates can join CAT Online Coaching.

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