Percentage MCQ Quiz - Objective Question with Answer for Percentage - Download Free PDF

Given:

45% of 450

Formula used:

Percentage of a number = (Percentage × Number) / 100

Calculation:

45% of 450 = (45 × 450) / 100

⇒ (45 × 450) / 100

⇒ 202.5

∴ The correct answer is option (4).

Given:

Two-third of a number = 48

Calculations:

Let the number be x. Then,

\(\dfrac{2}{3}x = 48\)

⇒ \(x = 48 \times \dfrac{3}{2}\)

⇒ x = 72

30% of x = \(\dfrac{30}{100} \times 72\)

⇒ \(\dfrac{30 \times 72}{100} = 21.6\)

∴ The correct answer is option (1).

Given:

Percentage 1 = 2% = 2/100

Percentage 2 = 14% = 14/100

Formula Used:

Percentage 1 × Percentage 2 × Number) / Number × 100 = Required Percentage

Calculation:

Let the number be x .

2% of 14% of x = (2/100) × (14/100) × x

Required percentage = \(\frac{(2/100) × (14/100) × x}{x} × 100\)

⇒ Required percentage = (2 × 14 × 100) / (100 × 100)

⇒ Required percentage = 28 / 100

⇒ Required percentage = 0.28%

The correct answer is 0.28% (Option 3).

Given:

What percentage of \(\frac{8}{30}\) is \(\frac{1}{20}\) ?

Calculation:

Let x% of \(\frac{8}{30}\) be \(\frac{1}{20}\).

\(\Rightarrow \frac{x}{100} \times \frac{8}{30} = \frac{1}{20} \)

\(\Rightarrow \frac{8x}{3000} = \frac{1}{20} \)

\(\Rightarrow 8x = \frac{3000}{20} \)

\(\Rightarrow 8x = 150 \)

\(\Rightarrow x = \frac{150}{8} \)

\(\Rightarrow x = \frac{75}{4} \)

\(\Rightarrow x = 18.75 \)

∴ 18.75% of \(\frac{8}{30}\) is \(\frac{1}{20}\).

Given:

20% of a number is 210 more than 20% of 560.

Calculation:

Let the number be x.

20% of a number = 20/100 × number

20% of x = 20% of 560 + 210

⇒ (20/100) × x = (20/100) × 560 + 210

⇒ (1/5) × x = (1/5) × 560 + 210

⇒ x / 5 = 112 + 210

⇒ x / 5 = 322

⇒ x = 322 × 5 = 1610

∴ The number is 1610.

Given:

P is 40% less than Q.

Shortcut Trick

40% = 2/5

So, Q is 2/(5-2) × 100 = 2/3 × 100 = 66.66% more than P.

∴ Q is 66.66% more than P.

Calculation:

Let, Q = 100y

So, P = 100y × (100 - 40)/100 = 100y × 60/100 = 60y

Now,

(Q – P)/P × 100 = 40y/60y × 100  = 66.66%

∴ Q is 66.66% more than P.

Additional Information

If A is 20% less than B,

So,

B is 20/(100 - 20) × 100 = 20/80 × 100 = 25% more than A

Similarly,

If B is 25% more than A,

So,

A is 25/(100 + 25) × 100 = 25/125 × 100 = 20% less than B.

Given:

200% of k - (k + 2)% of 50 = k

Formula used:

A% of B = (A/100) × B

Calculation:

⇒ 200% of k - (k + 2)% of 50 = k

⇒ (200/100) × k - (k + 2)/100 × 50 = k

⇒ 2k - 0.5(k + 2) = k

⇒ 2k - 0.5k - 1 = k

⇒ 1.5k - 1 = k

⇒ 1.5k - k = 1

⇒ 0.5k = 1

⇒ k = 1/0.5 = 2

Suppose the initial price = Rs. x per kg

Suppose the family spends Rs. 100 initially and this comes down to Rs. 93;

∴ [93/0.75x] – [100/x] = 12

⇒ 124/x – 100/x = 12

⇒ 24/x = 12

⇒ x = 2

Formula Used:

X% = X/100

Calculation:

(120% of 675) + 92 = (? % of 1240) + 716

⇒ \(\frac{120}{100} \)× 675 + 92 = \(\frac{?}{100} \)× 1240 + 716

⇒ 810 + 92 = 12.4 × ? + 716

⇒ 902 - 716 = 12.4 × ?

⇒ 186/12.4 = ? = 15

∴ The correct answer is 15

Formula Used:

X% = X/100

Calculation:

⇒ 980 of 12% = \(\frac{980\times12 }{100}=117.6\)

⇒ 227 of 30% = \(\frac{227\times30 }{100}=68.1\)

⇒ 117.6 - \(\frac{450\times? }{100}\)= 68.1

⇒ 117.6 - 68.1 = \(\frac{450\times? }{100}\)

⇒ \(\frac{49.5\times100 }{450}\) = ? = 11

∴ The correct answer is 11.

Solution:

75% of 480 + 48% of 750

⇒ (75/100) × 480 + (48/100) × 750

⇒ (3/4) × 480 + (12/25) × 750

⇒ 3 × 120 + 12 × 30

⇒ 360 + 360

⇒ 720

Given:

80% of A = 50% of B and B = x% of A

Calculation:

80% of A = 50% of B.

⇒ \(\dfrac{80}{100}\) A = \(\dfrac{50}{100}\) B

⇒ 8A = 5B

⇒ \(\dfrac{A}{B} = \dfrac{5}{8} \)

∴ B = \(\dfrac{8}{5} \times 100\) = 160 

So, the value of x is 160.

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%

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

Given:

The number = 2 × 10⁶

Calculation:

10⁶ = (10²)³

⇒ 100³

According to the question,

Required number = 2 × 1003 × \(\frac{12}{100} ×\frac{4}{100} ×\frac{7}{100}\)

⇒ 2 × 100 × 100 × 100 × \(\frac{12}{100} ×\frac{4}{100} ×\frac{7}{100}\)

⇒ 2 × 12 × 4 × 7

⇒ 672

∴ Required answer is 672.