# P**ercentage Questions For Competitive Exams**

### What is a Percentage?

**Percentage Questions For Competitive Exams:** A fraction of a whole expressed in terms of parts out of 100 is called a percentage. It enables us to express a portion of something in relation to its entirety or compare various quantities.

### Explicit Justification:

**Let's dissect it using this example:**

- Say you possess a jar filled with marbles. In all, there are one hundred marbles. You're curious about the quantity of red marbles in this jar.

- We can express the number of red marbles in the jar (20) as a percentage: 20 marbles out of 100.
- To ascertain the proportion of red marbles:

### $Percentage=WholePart ×100$

In this case:

### $\text{PercentageofRedMarbles}=\frac{20}{100}\times 100=20\mathrm{\%}$

This means 20% of the marbles in the jar are red.

Percentage Questions For Competitive Exams

**Understanding Percentages:**

**Base:**The entire amount, or the total number of marbles, serves as the base from which the percentage is computed.

**Percentage expressed as a decimal or fraction:**20% can also be written as a decimal (0.20 or 0.2) or as a fraction (20/100).

### Practical Use:

A variety of real-life situations frequently employ percentages, including:

**Finance:**Taxes, interest rates, and discounts can be calculated.

**Statistic:**The expression of amounts, rates of growth, or trends over time.

**Business:**Examining market shares, earnings, and losses.

In summary, percentages are a basic means of expressing portions of a whole in terms of 100, making comparisons and comprehension of relative quantities simple. They are essential to many facets of daily life, ranging from simple math operations to intricate analyses across various domains. Percentage Questions For Competitive Exams.

1. How to Calculate a Number's Percentage:

**What is 30% percent of 200?**

So, $30\mathrm{\%}$ of $200$ is $60$.

Percentage Questions For Competitive Exams

### Question 2: __Growth in Percentage__

**What is the percentage increase in price of a product if it goes from $50 to $65)?****
**
**In response:**

- The rise is equal to 65 - 50 = 15.

- 65-50 = 15.

To calculate the growth percentage:

- $\text{PercentageIncrease}=\frac{\text{Increase}}{\text{OriginalPrice}}\times 100$
- $\text{PercentageIncrease}=\frac{15}{50}\times 100=0.3\times 100=30\mathrm{\%}$

**Question 3: **__Percentage Decrease__

__Percentage Decrease__

**Question: If a population decreases from 5000
to 4500 then what is the percentage decrease?**

**Answer:**

- The decrease is 5000 – 4500 = 500

**To find the percentage decrease:**

- Percentage Decrease = decrease / original population X 100

- Percentage Decrease = 500 / 5000 X 100 = 0.1 X 100 = 10%

So the percentage decrease is 10%

Percentage Questions For Competitive Exams

**Question 4: **__Calculating Original Value__

__Calculating Original Value__

**Question: If the value of an item decreases by
20% to 80% what was the original value?**

**Answer:**

- Let the original value be x.

- 80% of x is the reduced value.

- To find the original value: 80 / 100 X x = 4/5 x

If 4/5 x = Reduced the value

**Question 5:
**__Finding the Percentages__

__Finding the Percentages__

**Question: If
25 is 30% of a number, what is 20% of that number?**

**Answer:**

- Let the number be x

30% of x is
25

To find 20%
of x:

30% of x is
25

X = 25/0.3

Now find 20%
of x:

20% of x =
0.2 X x

Solving for 20% of x

20% of x =
0.2 X 25/0.3 = 50/0.3 = 166.6

So 20% of
that number is approximately 166.6

Percentage Questions For Competitive Exams

These
examples cover various types of percentage questions commonly encountered in
exams or daily calculations.