Practice Questions: Percentages

# Practice Questions: Percentages | Quantitative Aptitude for SSC CGL PDF Download

## Definition

The term "Percentage" originates from the Latin word "per centum," signifying "by the hundred." It is symbolized by %. For instance, if we express 5%, it is equivalent to 5/100, which simplifies to 0.05.

### Finding the Percentage of a Number

• Explain how to calculate a percentage of a given number using the formula:
• Provide examples and step-by-step explanations of solving percentage problems.

### Percentage Increase and Decrease

• Discuss how to determine the percentage increase or decrease between two values using the formula: Percentage Change =
• Provide practical examples, such as price changes, population growth rates, or test score improvements.

### Applications of Percentages in Real Life

• Examine diverse situations where percentages find common application, including scenarios involving discounts and sales, interest rates, inflation, and fluctuations in the stock market.
• Elaborate on the significance of comprehending percentages in the realm of personal finance and decision-making.

### Calculating Percentages in Statistics

• Examine the involvement of percentages in statistics, encompassing tasks like determining proportions, relative frequencies, and percentages in surveys or data analysis.
• Emphasize the importance of percentages in depicting data accurately and facilitating meaningful comparisons.

### Solving Percentage Problems

• Present a set of exercises that span various percentage scenarios, incorporating tasks such as calculating percentages, solving for original values, and determining percentage changes.
• Furnish detailed solutions and explanations in a step-by-step manner to assist users in comprehending the problem-solving approach.

## Examples on Percentages

Example1: Luaa spends her monthly salary in the following manner: 20% on house rent, 20% on food, 5 % on transportation, 10% on the education, and 20% on other household expenses. She saves the remaining amount of ₨. 5000 at the end of the month. Find out her monthly salary?
(a) Rs. 35000
(b) Rs. 25000
(c) Rs. 20000
(d) Rs. 30000
Ans:
(c)
Let the Monthly Salary = 100%
Monthly Expenditure = 20% + 20% + 5% + 10% + 20% = 75%
Monthly Savings = 100% – 75% = 25%
Now, 25% of salary saved = 5000
Let’s take 100% salary as x
25% of x = 5000

x = 20000
Therefore, her monthly salary = Rs. 20000

Example 2:  Aman spends 60% of his income. Suppose his income is increased by 21% and his expenditure increases by 5%, then what is the increase in his savings (in percentage)?
(a) 60%
(b) 18%
(c) 40%
(d) 45%
Ans:
(d)
Let Aman’s income = 100
Expenditure = 60 and
Savings = 40 (We get 40 by subtracting, 100 – 60)
New Income is increased by 21% = 100 + 21 = 121
Expenditure Increased by 5% = 5% more than 60 = 105% of 60 = 63
New Savings = 121 – 63 = 58
Therefore, increase in savings = 58 – 40 = 18

## Questions based on Percentages

Q1: A man made a contribution of 7% of his income to a needy person and saved 25% of the balance. If he now has, Rs. 2100 left, then find his actual income?
(a) 9626.26
(b) 9727.27
(c) 3010.75
(d) 10000
Ans:
(c)
Let's assume the man's actual income is "X" rupees.
Step 1: Contribution to the needy person Amount contributed = 7% of X = 0.07X
Remaining balance = X - 0.07X = 0.93X
Step 2: Savings from the remaining balance Amount saved = 25% of (0.93X) = 0.25 * 0.93X = 0.2325X
Remaining balance after savings = 0.93X - 0.2325X = 0.6975X
Step 3: The remaining balance is given as Rs. 2100 0.6975X = 2100
Now, solve for X: X = 2100 / 0.6975 ≈ 3010.75
So, the correct value for the man's actual income is indeed Rs. 3010.75.

Q2: In an examination, 40% are passing percentage. If a person gets 41 marks and fails by 3 marks, what are the maximum marks?
(a) 110
(b) 100
(c) 120
(d) 150
Ans:
(a)
Total passing marks = 41 + 3 = 44
Let maximum marks be m
Then, 40% of m = 44
= 40m/100 = 44
40m = 4400
m = 110

Q3: Reema saves 51% of his total income of Rs. 15000 per month. Calculate his total spending.
(a) 7350
(b) 7550
(c) 6500
(d) 8560
Ans:
(a)
Money spent = (100 – 51) of 15000
= 49% of 15000
= 49/100*15000 = 7350

Q4: If Jenny’s income is 30% more than that of Nikita, how much percent of Nikita’s income is less than that of Jenny?
(a) 23.08%
(b) 25.5%
(c) 27.60%
(d) 29%
Ans:
(a)
Let Nikita’s income be 100
Then, Jenny’s income = 130
If Jenny’s income is 130, Nikita’s income = 100
If Jenny’s income is 100, Nikita’s income = 100/130 *100 = 76.92
Therefore, Nikita’s income is less than Jenny’s income by 100 – 76.92 = 23.08%

Q5: If the price of an article is increased by 18%, determine by how much percent must a user reduce the use, so that expenditure on it remains unchanged?
(a) 13.24%
(b) 16%
(c) 25%
(d) 15.3%
Ans:
(d)
Decrease in consumption

= 15.3%

The document Practice Questions: Percentages | Quantitative Aptitude for SSC CGL is a part of the SSC CGL Course Quantitative Aptitude for SSC CGL.
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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests

## FAQs on Practice Questions: Percentages - Quantitative Aptitude for SSC CGL

 1. What is the definition of percentages?
Ans. Percentages are a way of expressing a proportion or a part of a whole in terms of hundredths. It is represented using the "%" symbol and is commonly used to compare values, show growth or decline, and make relative comparisons.
 2. Can you provide some examples of percentages in real life?
Ans. Yes, here are a few examples: - If you scored 80% in a test, it means you answered 80 out of 100 questions correctly. - A discount of 20% on a product means you pay only 80% of the original price. - In a company, if women make up 40% of the workforce, it means that 40 out of every 100 employees are women.
 3. How are percentages used in solving mathematical problems?
Ans. Percentages are widely used in various mathematical problems. They can be used to find the percentage increase or decrease, calculate discounts or markups, solve problems involving ratios and proportions, and analyze data by comparing percentages. They are also used in financial calculations, such as calculating interest rates or sales tax.
 4. How can percentages be converted into decimals or fractions?
Ans. To convert a percentage into a decimal, divide the percentage by 100. For example, 25% can be converted to a decimal by dividing 25 by 100, which gives 0.25. To convert a percentage into a fraction, write the percentage as a fraction with a denominator of 100. For example, 75% can be written as 75/100, which can be simplified to 3/4.
 5. What are some common questions related to percentages in exams or interviews?
Ans. Some common questions related to percentages include: - What is 20% of 150? - If a price increased by 25% and then decreased by 20%, what is the overall percentage change? - If a store offers a 10% discount on a \$50 item, how much will the customer pay? - If 60% of the students in a class are girls, what percentage of the class are boys? - If the population of a city increased from 1 million to 1.2 million, what is the percentage increase?

## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests

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