Testbook presents a set of Percentage MCQs for candidates who are looking for practice material. Percentage is a popular topic to get featured in Quantitative Aptitude of competitive examinations like SSC JE, UPSC, SBI PO, SSC CGL, SSC CGL etcetera. These Percentage Objective Questions will help candidates of all competitive exams.
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, ""%"". Practising Percentage Questions Answers will help you save time and effort in exams. These questions are easy and can be solved with great ease if practised properly.
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What will come in place of the question mark (?) in the following question?

37.5% of (64)2 – 62.5% of 50% of 160 = ?

Option 3 : 1486

**Concept used:**

Follow BODMAS rule to solve this question, as per the order given below,

**Calculations:**

37.5% of (64)^{2} – 62.5% of 50% of 160 = ?

⇒ (3/8) of 4096 – (5/8) of (1/2) of 160 = ?

⇒ 1536 – 50 = ?

⇒ 1486 = ?

**∴ **** The value of ? is 1486**

Option 1 : 2 : 1

**Calculation:**

10% of m = 20% of n

⇒ (10/100) × m = (20/100) × n

⇒ 10 m = 20 n

⇒ m/n = 20/10

**∴ m : n = 2 : 1**

Find the value of ‘?’ in the following question

28.56% of 91 + 44.44% of 162 = 400% of ?

Option 2 : 24.5

**Concept Used:**

14.28% = 1/7, 28.56% = 2/7

11.11% = 1/9, 44.44% = 4/9

**Calculation: **

28.56% of 91 + 44.44% of 162 = 400% of ?

⇒ 91 × (2/7) + 162 × (4/9) = (400/100) × ?

⇒ 26 + 72 = 4 × ?

⇒ ? = 98/4 = 24.5

**∴**** The value of ? is 24.5**

What will come in the place of question mark ‘?’ in the following question?

60% of 80 ÷ 16 × 30% of 70 = ?

Option 4 : 63

Follow the BODMAS rule to solve this question, as per the order given below,

The given expression is,

60% of 80 ÷ 16 × 30% of 70 = ?

⇒ 48 ÷ 16 × 21 = ?

⇒ 3 × 21 = ?

⇒ ? = 63

**∴ The value of ? is 63**

What will come in place of question mark (?) in the following question?

17% of 900 + 21% of 1400 = 581 - ?

Option 1 : 134

Given expression is,

⇒ 17% of 900 + 21% of 1400 = 581 - ?

\(\Rightarrow \frac{{17}}{{100}} \times 900 + \frac{{21}}{{100}} \times 1400 = 581 - ?\)

⇒ 17 × 9 + 21 × 14 = 581 - ?

⇒ 153 + 294 = 581 - ?

⇒ 447 = 581 - ?

⇒ ? = 581 - 447

⇒ ? = 134

Option 1 : 3 : 2

**Given:**

20% of X = 30% of Y

**Calculation:**

(20/100) × X = (30/100) × Y

⇒ (1/5) × X = (3/10) × Y

⇒ X/Y = (5 × 3)/10

⇒X/Y = 15/10

⇒ X/Y = 3/2

⇒ X : Y = 3 : 2

**∴ The ratio between X and Y is 3 : 2.**

Find the value of x in the following expression.

33.33% of 342 + 12.5% of 800 + x = 40% of 900

Option 3 : 146

**Given:**

33.33% of 342 + 12.5% of 800 + x = 40% of 900

**Concept used:**

Converting the decimal values into corresponding fractions:

33.33% = 1/3

12.5% = 1/8

40% = 2/5

**Calculation:**

33.33% of 342 + 12.5% of 800 + x = 40% of 900

(1/3) × 342 + (1/8) of 800 + x = (2/5) × 900

114 + 100 + x = 360

⇒ 214 + x = 360

⇒ x = 360 – 214 = 146

**∴ The value of 'x' is 146.**

Option 2 : 66.66%

P is 40% less than Q.

Let Q be 100y, then P be 60y.

⇒ (Q – P)/P = 40y/60y = 66.66%

∴ Q is 66.66% more than P.

What will come in the place of the question mark ‘?’ in the following question?

?% of 590 + 36% of 170 = 150

Option 4 : 15.05

**Calculations:**

?% of 590 + 36% of 170 = 150

⇒ (?/100) × 590 + (36/100) × 170 = 150

⇒ (59 × ?)/10 + 612/10 = 150

⇒ 59 × ? + 612 = 1500

⇒ 59 × ? = 888

⇒ ? = 15.05

**∴ The value of ? is 15.05**

Option 4 : 200

**Calculation:**

Let be assume the number is x

According to the question

x × 3/5 = 40 + 40% of x

⇒ x × (3/5) = 40 + x × (40/100)

⇒ x × (3/5) = 40 + x × (2/5)

⇒ x × (3/5) - x × (2/5) = 40

⇒ x/5 = 40

⇒ x = 200

**∴ The required result will be 200.**

Option 2 : 900%

Given:

20% of (x + y) = 25% of (x - y)

Formula used:

Percentage = (Obtained value/Total value) × 100

Calculation:

20% of (x + y) = 25% of (x - y)

⇒ 20(x + y) = 25(x - y)

⇒ 20x + 20y = 25x - 25y

⇒ 20y + 25y = 25x - 20x

⇒ 45y = 5x

⇒ x = 9y

Now, Percentage = (Obtained value/Total value) × 100

⇒ (x/y) × 100

⇒ (9y/y) × 100

⇒ 900%

Option 2 : 8

**Calculations:**

Let the actual number be x

According to the question

⇒ 20% of x + 36 = 200% of x

⇒ (20/100) × x + 36 = (200/100) × x

⇒ x/5 + 36 = 2x

⇒ 36 = 2x – x/5

⇒ 9x/5 = 36

⇒ x = 20

40% of x

⇒ (40/100) × 20 = 8

**∴ 40% of actual number is 8 **

Option 3 : 750

Given:

If 40% of x = 15% of y.

y = 2000

Calculation:

40% of x = 15% of y

⇒ (40/100)x = (15/100)y

y = 2000

⇒ 40x = 15 × 2000

⇒ x = 30000/40

⇒ x = 750

∴ The value of x is 750.

If 20% of A is added to 20% of B, the answer is 40% of B. What percentage of A is B?

Option 2 : 100%

**Given:**

If 20% of A is added to 20% of B, the answer is 40% of B.

Concept Used:

x% of y = (x/100) × y

y% of x = (y/100) × x

**Calculation:**

According to the question, we have

(20/100)A + (20/100)B = (40/100)B

⇒ (20/100)A = (40/100)B - (20/100)B

⇒ 2A = 2B⇒ A = B

⇒ 100% of A = 100% of B

**∴ The 100% of A is equal to 100% of B.**

What will come in the place of the question mark ‘?’ in the following question?

66.66% of 522 + 15% of 400 = ?

Option 4 : 408

GIVEN:

66.66% of 522 + 15% of 400 = ?

FORMULA USED:

These types of questions, the knowledge of conversion from percentage to fraction should be known.

Concept :

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

CALCULATION:

66.66% of 522 = (2/3) × 522 = 348

15% of 400 = (3/20) × 400 = 60

Given expression is

66.66% of 522 + 15% of 400 = ?

⇒ 348 + 60 = ?

⇒ 408 = ?

∴ ? = 408

What will come in the place of the question mark ‘?’ in the following question?

18.8% of 2500 - 22.5% of 1200 = 14.28% of 1148 + √(?)

Option 2 : 1296

Concept used:

Follow BODMAS rule to solve this question, as per the order given below,

Calculation:

18.8% of 2500 – 22.5% of 1200 = 14.28% of 1148 + √(?)

We know,

14.28% = (1/7) (approx)

So,

18.8% of 2500 – 22.5% of 1200 = 14.28% of 1148 + √(?)

⇒ (18.8/100) × 2500 – (22.5/100) × 1200 = (1/7) × 1148 + √(?)

⇒ 470 – 270 = 164 + √(?)

⇒ 200 = 164 + √(?)

⇒ 36 = √(?)

⇒ (?) = 1296

**∴ The value of ? is 1296**

Option 4 : 3 / 8

**Given:**

45% of 30 + 2X = 35% of 15 + 20% of 45

**Calculation:**

(45/100) × 30 + 2x = (35/100) × 15 + (20/100) × 45

⇒ [(45 × 30 + 2x × 100)/100] = [((35 × 15) + (20 × 45))/100]

⇒ 45 × 30 + 200x = 35 × 15 + 20 × 45

⇒ 200x = 35 × 15 + 20 × 45 - 45 × 30

⇒ 200x = 15(35 + 20 × 3 - 45 × 2)

⇒ 200x = 15(35 + 60 - 90)

⇒ 200x = 15(5)

⇒ x = 15 × 5/200

⇒ x = 3/8

**∴ The required value is 3/8**

What will come in the place of the question mark ‘?’ in the following question?

6.66% of 3375 + 5.55% of 5832 = ?

Option 5 : 549

GIVEN:

6.66% of 3375 + 5.55% of 5832 = ?

FORMULA USED:

These types of questions, the knowledge of conversion from percentage to fraction should be known.

Fraction |
3/8 |
5/6 |
1/15 |
1/18 |
1/17 |
1/16 |

Percentage (%) |
37.5 |
83.33 |
6.67 |
5.55 |
5.88 |
6.25 |

Concept :

Follow BODMAS rule to solve this question, as per the order given below.

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and following BODMAS rule in the bracket -

Step - 2: Any mathematical 'Of' or 'Exponent' must be solved next.

Step - 3: Next, the parts of the equation that contain 'Division' and 'Multiplication' are calculated.

Step - 4: Last but not the least, the parts of the equation that contain 'Addition' and 'Subtraction' should be calculated.

CALCULATION:

6.66% of 3375 = (1/15) × 3375 = 1 × 225 = 225

5.55% of 5832 = (1/18) × 5832 = 1 × 324 = 324

Given expression is

6.66% of 3375 + 5.55% of 5832 = ?

⇒ 225 + 324 = ?

⇒ 549 = ?

∴ ? = 549

Option 1 : 2

According to question

0.32x + y = 1.24y

⇒ 0.32x = 0.24y

⇒ x = 0.75y

now, The value of \(\frac{2x + y}{3x - y}\) = \(\frac{2(0.75y) + y}{3(0.75y) - y}\) = \(\frac{2.5y}{1.25y}\) = 2

Option 1 : 18/5

**Given:**

If the numerator of a fraction be increased by 20% and denominator decreased by 10%. The value of the fraction becomes 24/5.

**Concept used:**

Percentage and Ratio

**Calculation:**

Let the fraction be in the form of p/q

⇒ \(\frac{{p\ \times\ 120}}{{q\ \times\ 90}} = \frac{{24}}{5}\)

⇒ \(\frac{p}{q} = \frac{{24}}{5} \times \frac{9}{{12}}\)

⇒ \(\frac{p}{q} = \frac{{18}}{5}\)