Percentage MCQs for SSC CGL Exam

It covers all Important Questions with answers on Percentage for the SSC CGL exam. The questions are based on important topics. Details about the questions:
  • Topic: Percentage
  • Type of Questions: MCQs with solutions
  • Number of Questions: 26
  • You can attempt them on EduRev to score high in SSC CGL exam.

An article is sold for ₹ 288 after successive discounts of 25% and x%. If the marked price of the article is ₹ 480, what is the value of x?    (SSC CGL-2018)
  • a)
    20
  • b)
    16
  • c)
    15
  • d)
    18
Correct answer is option 'A'. Can you explain this answer?

Ishaan Roy answered
Given:
Marked price (MP) = 480
Selling price (SP) = 288
Discount 1 = 25%

To find:
Discount 2 = x%

Solution:
First, we need to find the selling price after the first discount of 25%.

MP = SP + Discount 1
480 = SP + (0.25 × 480)
480 = SP + 120
SP = 360

Now, we need to find the selling price after the second discount of x%.

SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (x% × 480)
288 = 360 - 120 - (4.8x)
288 = 240 - 4.8x
4.8x = -48
x = -10

But the value of x cannot be negative. So, this is not a valid solution.

Let's check if we made a mistake in our calculations.

SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (20% × 480)
288 = 360 - 120 - 96
288 = 144

This is not correct. So, the value of x cannot be 20%.

Let's try with another value of x.

SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (16% × 480)
288 = 360 - 120 - 76.8
288 = 163.2

This is also not correct. So, the value of x cannot be 16%.

Let's try with another value of x.

SP = MP - Discount 1 - Discount 2
288 = 480 - (0.25 × 480) - (15% × 480)
288 = 360 - 120 - 72
288 = 168

This is correct. So, the value of x is 15%.

Answer: c)15

What will be the net discount (in percentage) after two successive discounts of 40% and 20%?    (SSC Sub. Ins. 2017)
  • a)
    60
  • b)
    68
  • c)
    52
  • d)
    42
Correct answer is option 'C'. Can you explain this answer?

Abhiram Mehra answered
To calculate the net discount after two successive discounts of 40% and 20%, we can use the concept of successive percentage discounts.

First Discount:
Given that the first discount is 40%. This means that the customer will pay only 60% of the original price after the first discount.

Second Discount:
Given that the second discount is 20%. This means that the customer will pay only 80% of the price after the first discount.

Calculating the Net Discount:
To calculate the net discount, we need to find the equivalent discount if the customer were to receive a single discount.

Let's assume the original price is 100.
After the first discount of 40%, the price becomes 60.
After the second discount of 20%, the price becomes 0.8 * 60 = 48.

To find the net discount, we need to find the percentage decrease from the original price to the final price.

Percentage Decrease = (Original Price - Final Price) / Original Price * 100

Substituting the values:
Percentage Decrease = (100 - 48) / 100 * 100 = 52%

Therefore, the net discount after two successive discounts of 40% and 20% is 52%.

So, the correct answer is option C, 52%.

32% of a number exceeds 17% of the same number by 120. What is the value of the number?    (SSC CGL 2017)
  • a)
    900
  • b)
    860
  • c)
    940
  • d)
    800
Correct answer is option 'D'. Can you explain this answer?

Given:
32% of a number exceeds 17% of the same number by 120.

Let the number be x

Equation:
0.32x = 0.17x + 120

Solve for x:
0.32x - 0.17x = 120
0.15x = 120
x = 120 / 0.15
x = 800
Therefore, the value of the number is 800.
So, the correct answer is option 'D'.

The height of a triangle is increased by 10%. To retain the original area of the triangle, its corresponding base must be decreased by:    (SSC Sub. Ins. 2015)
  • a)
  • b)
    10%
  • c)
    100/11%
  • d)
Correct answer is option 'C'. Can you explain this answer?

Anjana Singh answered
Let base = b, Height = h, 
So, Area = (b × h)/2So, Reduced base = [(½ b × h)/1.1h] × 2 = 10b/11
Percent reduction in base = [(b – 10b/11)/b] × 100
∴ Percent change in base = (100/11)%

If A has got 20% more marks than B, then by what percent marks of B are less than the marks of A?    (SSC CGL 2017)
  • a)
    16.66
  • b)
    20
  • c)
    33.33
  • d)
    14.28
Correct answer is option 'A'. Can you explain this answer?

Shruti Reddy answered
Understanding the Problem
To determine by what percent the marks of B are less than the marks of A, we first need to establish their relationship based on the information provided.
Marks Relation
- Let's assume B's marks are represented as 'x'.
- Since A has 20% more marks than B, A's marks can be calculated as:
- A's marks = x + 0.20x = 1.20x
Calculating the Difference
Now we need to find out how much less B's marks are compared to A's marks.
- The difference in marks between A and B is:
- Difference = A's marks - B's marks = 1.20x - x = 0.20x
Finding the Percentage
To find the percentage by which B's marks are less than A's marks, we use the formula:
- Percentage decrease = (Difference / A's marks) * 100
Substituting the values we have:
- Percentage decrease = (0.20x / 1.20x) * 100
The 'x' cancels out, simplifying our calculation:
- Percentage decrease = (0.20 / 1.20) * 100
Calculating this gives:
- Percentage decrease = (1/6) * 100 ≈ 16.66%
Conclusion
Thus, the marks of B are less than the marks of A by approximately 16.66%. Therefore, the correct answer is option 'A'.

The price of table depreciates every year by 20%. If the value of the table after 2 years will be ₹ 32000, then what is the present price (in ₹) of the table?    (SSC Sub. Ins. 2017)
  • a)
    48000
  • b)
    44000
  • c)
    50000
  • d)
    51000
Correct answer is option 'C'. Can you explain this answer?

Abhiram Mehra answered
Understanding Depreciation
Depreciation refers to the reduction in the value of an asset over time. In this case, the value of the table decreases by 20% every year.
Formula for Depreciation
The formula to calculate the future value after depreciation is:
Future Value = Present Value * (1 - Depreciation Rate)^Number of Years
Given Values
- Future Value after 2 years = 32,000
- Depreciation Rate = 20% or 0.20
- Number of Years = 2
Calculating Present Value
We can rearrange the formula to find the Present Value:
Present Value = Future Value / (1 - Depreciation Rate)^Number of Years
Now, substituting the known values:
Present Value = 32,000 / (1 - 0.20)^2
Calculating Step-by-Step
1. Calculate (1 - 0.20):
- 1 - 0.20 = 0.80
2. Raise 0.80 to the power of 2:
- 0.80^2 = 0.64
3. Divide Future Value by 0.64:
- Present Value = 32,000 / 0.64
- Present Value = 50,000
Conclusion
Thus, the present price of the table is 50,000. Therefore, the correct answer is option 'C'.

The price of sugar is increased by 17%. A person wants to increase his expenditure by 5% only. By approximately what percent should be decrease his consumption?    (SSC CGL-2018)
  • a)
    10.3
  • b)
    10.7
  • c)
    10.9
  • d)
    9.9
Correct answer is option 'A'. Can you explain this answer?

Ishaan Roy answered
Solution:

Let the initial consumption of sugar = 100 units and initial price = Rs. x per unit.

After the price increase of 17%, the new price of sugar = Rs. (1.17x) per unit.

Now, the person wants to increase his expenditure by 5% only.

Let the initial expenditure be Rs. 100.

After the price increase, the expenditure will be = (100/ x) units × Rs. (1.17x) per unit = Rs. 117.

To increase this expenditure by 5%, the new expenditure will be = Rs. (117 × 1.05) = Rs. 122.85.

The person needs to decrease his consumption in such a way that he spends only Rs. 122.85 on sugar.

Let the new consumption be y units.

Then, (y/ x) units × Rs. (1.17x) per unit = Rs. 122.85

y = 100 units × (122.85/ 117) = 104.5 units

Therefore, the person needs to decrease his consumption by (100 - 104.5)/ 100 × 100% ≈ 10.3%.

Hence, the answer is option (a) 10.3.

If 40% of 4/5 of 3/4 of a number is 48, then what is 1% of the same number?    (SSC Sub. Ins. 2014)
  • a)
    20
  • b)
    2
  • c)
    10
  • d)
    1
Correct answer is option 'B'. Can you explain this answer?

Arnav Saini answered
Understanding the Problem
We need to find a number (let's call it 'x') such that 40% of 4/5 of 3/4 of 'x' equals 48.
Step-by-Step Calculation
1. Break Down the Expression:
We start with the expression:
40% of (4/5 of (3/4 of x)) = 48
2. Convert Percentage to Decimal:
40% can be expressed as 0.4. Thus, we rewrite the equation:
0.4 * (4/5) * (3/4) * x = 48
3. Simplify the Expression:
Multiply the fractions:
(4/5) * (3/4) = 12/20 = 3/5
Now the equation is:
0.4 * (3/5) * x = 48
4. Combine Constants:
0.4 * (3/5) = 1.2/5 = 0.24.
So, we have:
0.24 * x = 48
5. Solve for x:
Divide both sides by 0.24:
x = 48 / 0.24
x = 200
Finding 1% of the Number
1. Calculate 1%:
Now that we have x = 200, to find 1% of 'x':
1% of 200 = 200 * (1/100) = 2
Conclusion
Thus, 1% of the original number is 2, which corresponds to option 'B'.

In a class of 45 students, 40% are girls and the remaining are boys. The average marks of the girls is 64 and that of the boys is 60. What is the average marks of the whole class?    (SSC Sub. Ins. 2018 )
  • a)
    61.8
  • b)
    62.4
  • c)
    61.6
  • d)
    62.9
Correct answer is option 'C'. Can you explain this answer?

Pranab Goyal answered
Given:
- Total number of students in the class = 45
- Percentage of girls = 40%
- Average marks of girls = 64
- Average marks of boys = 60

To find:
- The average marks of the whole class

Solution:
We know that the average is calculated by dividing the sum of all the values by the total number of values.

Step 1: Calculate the number of girls and boys in the class
- Percentage of girls = 40%
- Number of girls = 40% of 45 = (40/100) * 45 = 18 girls
- Number of boys = Total number of students - Number of girls = 45 - 18 = 27 boys

Step 2: Calculate the sum of marks of girls and boys
- Sum of marks of girls = Average marks of girls * Number of girls = 64 * 18 = 1152
- Sum of marks of boys = Average marks of boys * Number of boys = 60 * 27 = 1620

Step 3: Calculate the total sum of marks in the class
- Total sum of marks = Sum of marks of girls + Sum of marks of boys = 1152 + 1620 = 2772

Step 4: Calculate the average marks of the whole class
- Average marks of the whole class = Total sum of marks / Total number of students = 2772 / 45 = 61.6

Therefore, the average marks of the whole class is 61.6.

Answer: Option (c) 61.6

The successive discount of 25%, 20% and 10% is equivalent to a single discount of:    (SSC Sub. Ins.2018 )
  • a)
    44%
  • b)
    46%
  • c)
    54%
  • d)
    48%
Correct answer is option 'B'. Can you explain this answer?

Ssc Cgl answered
Amount after first discount 
Amount after second discount
Amount after third discount 
∴ Equivalent discount = 100 – 54 = 46%

A number is increased by 15% and then decreased by 25% and the number becomes 22 less than the original number. The original number is    (SSC Sub. Ins. 2016)
  • a)
    120
  • b)
    140
  • c)
    100
  • d)
    160
Correct answer is option 'D'. Can you explain this answer?

Dipika Sarkar answered
Understanding the Problem
The problem states that a number is increased by 15% and then decreased by 25%, resulting in a final value that is 22 less than the original number. We need to find the original number.
Let the Original Number be 'x'
- After increasing by 15%, the new value is:
- x + 0.15x = 1.15x
- Then, this increased value is decreased by 25%:
- Decrease of 25% from 1.15x is:
- 0.25 * 1.15x = 0.2875x
- So, the final value becomes:
- 1.15x - 0.2875x = 0.8625x
Setting Up the Equation
According to the problem, this final value is 22 less than the original number:
- 0.8625x = x - 22
Solving the Equation
1. Rearranging the equation:
- x - 0.8625x = 22
- 0.1375x = 22
2. Now, divide both sides by 0.1375 to find x:
- x = 22 / 0.1375
- x = 160
Conclusion
Thus, the original number is 160, which corresponds to option 'D'.
This solution confirms the mathematical reasoning behind the increase and decrease in percentage, leading to a final result that is less than the original by 22.

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