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

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:

We are asked: What percentage of 7/70 is 1/20?

Formula used:

Percentage = (Part / Whole) × 100

Calculation:

Let the percentage be x. So we have:

x = (1/20) / (7/70) × 100

Now simplify:

x = (1/20) ÷ (1/10) × 100

⇒ (1/20) × (10/1) × 100

⇒ (10/20) × 100

⇒ 1/2 × 100 = 50

∴ The percentage is 50%.

Given:

2% of 5% of a number is what percentage of that number.

Calculation:

Let the number be x

(2/100) × (5/100) × x

⇒ (10/10000) × x

⇒ (1/1000) × x

⇒ 0.001 × x

⇒ 0.1% of x

∴ The correct answer is option (3).

Given:

70% of (2/5) of a number is 126

Formula used:

Let the number be X

0.7 × (2/5) × X = 126

Calculation:

0.7 × (2/5) × X = 126

⇒ 0.7 × 0.4 × X = 126

⇒ 0.28 × X = 126

⇒ X = 126 / 0.28

⇒ X = 450

∴ The correct answer is option (4).

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.

Calculation:

Let the maximum mark is x.

According to the question

40 + 20% of x = 40% of x

20% of x = 40

x = 200

Therefore, the maximum marks for the exam are 200.

∴ Option 3 is the correct answer.

Given:

A number is first decreased by 20% and then increased by 15%.

The number so obtained is 64 less than the original number

Calculations:

Let the number be 100x

Number after decrement of 20% = 100x × (100 - 20)/100

⇒ 100x × 80/100 = 80x 

Number after 15% increment = 80x × (100 + 15)/100

⇒ 80x × (100 + 15)/100 = 92x

According to the question

100x - 92x = 64  (difference of the original and new number)

⇒ 8x = 64

⇒ x = 8

Original number = 100x = 800 

∴ The correct choice is option 2.

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

Given:

The price of an article is first decreased by 8% and later increased by 12%.

Formula used:

Percentage in change =   a + b + (ab/100) 

Calculation:

12 - 8 - (8 × 12)/100 = 4 - 0.96

= 3% (approx.)

It means the price of the book increased by 3%.

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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

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.

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.