PERCENTAGE - (7TH)NMMS AND TALENT EXAM MCQs- CLASSES 6TH TO 10TH

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Percentage – Class 7 MCQ Test

50 Twisted & Concept-Based Questions • Talent Exam / NMMS Practice

Instructions: Select one answer for every question. Click Submit Test to check all answers. A correct question turns green; an incorrect question turns red. Use Answer to reveal the correct answer and View Explanation for the detailed solution. Click Score to see your marks.

Question 1

The word “percent” literally means:

A. Per ten B. Per hundred C. Per thousand D. Per one

Detailed Explanation:
Percent means “per hundred.” Therefore x% means x out of 100, or x/100. For example, 27% = 27/100.

Question 2

Which fraction represents 35% in its direct percentage form?

A. 35/10 B. 35/100 C. 100/35 D. 3/5

Detailed Explanation:
A percentage is a fraction whose denominator is 100. Hence 35% = 35/100 = 7/20 after simplification.

Question 3

Convert 27% into decimal form.

A. 2.7 B. 0.027 C. 0.27 D. 27.0

Detailed Explanation:
To convert a percentage to a decimal, divide by 100. Thus 27% = 27/100 = 0.27.

Question 4

Which of the following is equal to 20%?

A. 1/5 B. 1/4 C. 1/2 D. 1/10

Detailed Explanation:
20% = 20/100. Dividing numerator and denominator by 20 gives 1/5. Therefore 20% = 1/5.

Question 5

What percentage is represented by 1/4?

A. 20% B. 25% C. 40% D. 50%

Detailed Explanation:
Multiply the fraction by 100: (1/4) × 100 = 25%. Therefore 1/4 = 25%.

Question 6

Which percentage is represented by the decimal 0.38?

A. 3.8% B. 38% C. 0.38% D. 380%

Detailed Explanation:
To convert a decimal into a percentage, multiply by 100. 0.38 × 100 = 38%.

Question 7

Which percentage is equivalent to 1/8?

A. 8% B. 10% C. 12.5% D. 15%

Detailed Explanation:
(1/8) × 100 = 100/8 = 12.5%. Thus 1/8 is equal to 12.5%.

Question 8

Which pair is correctly matched?

A. 1/2 = 25% B. 1/4 = 20% C. 1/5 = 20% D. 1/10 = 20%

Detailed Explanation:
1/5 × 100 = 20%. The other common equivalents are 1/2 = 50%, 1/4 = 25%, and 1/10 = 10%.

Question 9

What percentage is 1/16?

A. 5.25% B. 6.25% C. 8.25% D. 10%

Detailed Explanation:
(1/16) × 100 = 100/16 = 6.25%. Therefore 1/16 = 6.25%.

Question 10

Which fraction is equal to 50%?

A. 1/3 B. 1/4 C. 1/2 D. 1/5

Detailed Explanation:
50% = 50/100 = 1/2. So one-half represents 50%.

Question 11

Without finding 80 first, which expression correctly represents 25% of 80?

A. 80 × 25 B. 80 × 25/100 C. 80 ÷ 25/100 D. 80 + 25/100

Detailed Explanation:
“25% of 80” means 25/100 × 80. Since 25/100 = 1/4, the value is 20.

Question 12

Find 25% of 75% of 80.

A. 10 B. 15 C. 20 D. 25

Detailed Explanation:
75% of 80 = 3/4 × 80 = 60. Then 25% of 60 = 1/4 × 60 = 15. Equivalently, 25/100 × 75/100 × 80 = 15.

Question 13

If 20% of a number is 50, what is the number?

A. 100 B. 150 C. 200 D. 250

Detailed Explanation:
Let the number be N. Then 20/100 × N = 50. Hence N = 50 × 100/20 = 250.

Question 14

A quarter of a number is 200. What is the number?

A. 400 B. 600 C. 800 D. 1000

Detailed Explanation:
A quarter means 1/4. If 1/4 of the number is 200, the whole number is 200 × 4 = 800.

Question 15

If 40% of a number is 120, the number is:

A. 240 B. 300 C. 360 D. 400

Detailed Explanation:
40/100 × N = 120. Therefore N = 120 × 100/40 = 300.

Question 16

Ten percent of a number is 35. Which number is it?

A. 250 B. 300 C. 350 D. 400

Detailed Explanation:
10% is 1/10. Therefore N/10 = 35, so N = 350.

Question 17

A person spends x% of his income. What percentage of his income remains as savings?

A. x% B. (100 + x)% C. (100 − x)% D. (x/100)%

Detailed Explanation:
The entire income is 100%. If x% is spent, the remaining percentage is 100% − x% = (100 − x)%.

Question 18

A student spends 65% of her pocket money. What percentage does she save?

A. 25% B. 30% C. 35% D. 45%

Detailed Explanation:
Savings = 100% − 65% = 35%. Thus 35% of the pocket money is saved.

Question 19

A person spends 80% of an income of ₹5,000. How much is saved?

A. ₹500 B. ₹1,000 C. ₹1,500 D. ₹4,000

Detailed Explanation:
If 80% is spent, 20% is saved. 20% of ₹5,000 = 20/100 × 5,000 = ₹1,000.

Question 20

A person spends 75% of his salary. What fraction of his salary is saved?

A. 1/4 B. 1/3 C. 3/4 D. 1/5

Detailed Explanation:
Savings = 100% − 75% = 25%. Since 25% = 25/100 = 1/4, the fraction saved is 1/4.

Question 21

Salaries of A and B are in the ratio 3:4. Both spend 75% of their salaries. Their savings ratio is:

A. 3:4 B. 4:3 C. 1:1 D. 9:16

Detailed Explanation:
Both save 25% of their salaries. Since the same percentage is saved from each salary, their savings remain in the original ratio 3:4.

Question 22

A and B earn in the ratio 5:7. Both save 20% of their salaries. Their savings ratio is:

A. 5:7 B. 7:5 C. 1:1 D. 25:49

Detailed Explanation:
Both save the same percentage, 20%. Therefore their savings are proportional to their incomes: 5:7.

Question 23

A earns twice as much as B. Both save 30% of their income. A's savings are how many times B's savings?

A. 1 B. 2 C. 3 D. 4

Detailed Explanation:
Suppose B earns ₹100; A earns ₹200. Their savings are ₹30 and ₹60 respectively. Therefore A saves twice as much as B.

Question 24

A town's population rises from 25,000 to 30,000. What is the percentage increase?

A. 10% B. 15% C. 20% D. 25%

Detailed Explanation:
Increase = 30,000 − 25,000 = 5,000. Percentage increase = 5,000/25,000 × 100 = 20%. The original value must be used as the denominator.

Question 25

A number increases from 200 to 250. What is the percentage increase?

A. 20% B. 25% C. 30% D. 50%

Detailed Explanation:
Increase = 250 − 200 = 50. Percentage increase = 50/200 × 100 = 25%.

Question 26

A quantity increases from 400 to 460. Its percentage increase is:

A. 10% B. 12% C. 15% D. 20%

Detailed Explanation:
Increase = 460 − 400 = 60. Therefore percentage increase = 60/400 × 100 = 15%.

Question 27

A number is increased by 20%. If the original number is 150, what is the new number?

A. 160 B. 170 C. 180 D. 200

Detailed Explanation:
20% of 150 = 30. Add the increase to the original: 150 + 30 = 180.

Question 28

The income-tax rate changes from 20% to 25%. By how many percentage points has the rate changed?

A. 4 B. 5 C. 10 D. 25

Detailed Explanation:
Change in rate = 25% − 20% = 5 percentage points. This is different from asking for the percentage increase relative to the old rate.

Question 29

The tax rate rises from 20% to 25%. What additional tax is payable on an income of ₹40,000?

A. ₹1,000 B. ₹2,000 C. ₹4,000 D. ₹5,000

Detailed Explanation:
The additional rate is 5%. Therefore additional tax = 5% of ₹40,000 = 5/100 × 40,000 = ₹2,000.

Question 30

A tax rate changes from 15% to 18%. On an income of ₹20,000, what is the additional tax?

A. ₹300 B. ₹400 C. ₹600 D. ₹800

Detailed Explanation:
The rate increases by 18% − 15% = 3%. Additional tax = 3% of ₹20,000 = ₹600.

Question 31

What percentage of one hour is 1 minute 12 seconds?

A. 1% B. 2% C. 3% D. 4%

Detailed Explanation:
1 minute 12 seconds = 72 seconds. One hour = 3,600 seconds. Therefore 72/3,600 × 100 = 2%.

Question 32

What percentage of one hour is 3 minutes?

A. 3% B. 4% C. 5% D. 6%

Detailed Explanation:
3 minutes = 180 seconds and 1 hour = 3,600 seconds. Thus 180/3,600 × 100 = 5%.

Question 33

Thirty seconds is what percentage of 5 minutes?

A. 5% B. 10% C. 15% D. 20%

Detailed Explanation:
5 minutes = 300 seconds. Therefore 30/300 × 100 = 10%.

Question 34

In an examination, 65% took Mathematics and 60% took English. Every student took at least one of the two. What percentage took both?

A. 5% B. 20% C. 25% D. 35%

Detailed Explanation:
Use: Maths + English − Both = 100%. Hence 65 + 60 − Both = 100, so Both = 25%.

Question 35

In a class, 70% like cricket, 50% like football and 30% like both. What percentage like at least one of the two?

A. 80% B. 90% C. 100% D. 120%

Detailed Explanation:
At least one = Cricket + Football − Both = 70 + 50 − 30 = 90%.

Question 36

In a group, 70% speak English and 75% speak Hindi. If 10% speak neither language, what percentage speak both?

A. 45% B. 55% C. 60% D. 65%

Detailed Explanation:
If 10% speak neither, then 90% speak at least one. Thus 70 + 75 − Both = 90, giving Both = 55%.

Question 37

In a group of 100 students, 60 like Mathematics, 50 like Science and 20 like both. How many like at least one?

A. 70 B. 80 C. 90 D. 110

Detailed Explanation:
At least one = 60 + 50 − 20 = 90. The 20 who like both were counted twice, so they are subtracted once.

Question 38

Forty percent of 50% of 200 is:

A. 20 B. 30 C. 40 D. 50

Detailed Explanation:
50% of 200 = 100. Then 40% of 100 = 40. Therefore the answer is 40.

Question 39

Which statement is correct?

A. 20% of 50 is greater than 50% of 20 B. 50% of 20 is greater than 20% of 50 C. They are equal D. They cannot be compared

Detailed Explanation:
20% of 50 = 10, while 50% of 20 = 10. Therefore both values are equal.

Question 40

If 25% of A equals 20% of B, what is A:B?

A. 4:5 B. 5:4 C. 1:1 D. 20:25

Detailed Explanation:
25A/100 = 20B/100. Thus 25A = 20B, so 5A = 4B and A/B = 4/5. Therefore A:B = 4:5.

Question 41

If 30% of a number is 90, what is 75% of the same number?

A. 150 B. 200 C. 225 D. 250

Detailed Explanation:
30% of N = 90, so N = 90 × 100/30 = 300. Then 75% of 300 = 225.

Question 42

A number is increased by 20% and then decreased by 20%. Compared with the original, the final number is:

A. The same B. 4% greater C. 4% smaller D. 2% smaller

Detailed Explanation:
Take the original as 100. After a 20% increase it becomes 120. A 20% decrease of 120 is 24, giving 96. Thus the final value is 4% below the original.

Question 43

Two numbers are in the ratio 2:3. The first increases by 10% and the second by 20%. What is the percentage increase in their sum?

A. 15% B. 16% C. 18% D. 20%

Detailed Explanation:
Let the numbers be 2x and 3x. Original sum = 5x. Increases are 0.2x and 0.6x, so total increase = 0.8x. Percentage increase = 0.8x/5x × 100 = 16%.

Question 44

Two numbers are in the ratio 3:4. The first increases by 20% and the second by 10%. What is the exact percentage increase in their sum?

A. 12% B. 14% C. 14 2/7% D. 16%

Detailed Explanation:
Let the numbers be 3x and 4x. Original sum = 7x. Increases are 20% of 3x = 0.6x and 10% of 4x = 0.4x. Total increase = x. Thus percentage increase = x/7x × 100 = 100/7% = 14 2/7%, approximately 14.29%.

Question 45

If 15% of a number is 45, then 40% of the same number is:

A. 90 B. 100 C. 120 D. 150

Detailed Explanation:
15% of N = 45, so N = 45 × 100/15 = 300. Then 40% of 300 = 120.

Question 46

Which of these represents the largest percentage?

A. 1/8 B. 1/4 C. 1/5 D. 1/10

Detailed Explanation:
1/8 = 12.5%, 1/4 = 25%, 1/5 = 20%, and 1/10 = 10%. Hence 1/4 is the largest.

Question 47

A student's marks rise from 60 to 72. What is the percentage increase?

A. 12% B. 15% C. 20% D. 25%

Detailed Explanation:
Increase = 72 − 60 = 12. Percentage increase = 12/60 × 100 = 20%.

Question 48

If a person saves 25% of his income, what percentage does he spend?

A. 25% B. 50% C. 75% D. 80%

Detailed Explanation:
Income represents 100%. Spending = 100% − 25% = 75%.

Question 49

A smaller number is 25% of a larger number. If the smaller number is 50, what is the larger number?

A. 100 B. 150 C. 200 D. 250

Detailed Explanation:
50 is 25% of the larger number. Since 25% = 1/4, the larger number = 50 × 4 = 200.

Question 50

If x% of a number is y, which formula gives the number?

A. xy B. x/(100y) C. 100y/x D. x/y

Detailed Explanation:
x% of N = y means x/100 × N = y. Rearranging gives N = 100y/x. This is the general formula for finding the whole when a percentage part is known.

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