Mastering Percentage for Competitive Exam Success

Percentage

Q. If a product is marked at $200 and sold at a 10% profit, what is the cost price?

A. $150
B. $160
C. $180
D. $190

Solution

Let the cost price be x. Then, 1.1x = 200 => x = 200 / 1.1 = 181.82.

Correct Answer: B — $160

Q. If a shirt is sold for $240 after a discount of 20%, what was the original price of the shirt?

A. $300
B. $280
C. $250
D. $320

Solution

Let the original price be x. After a 20% discount, the selling price is 80% of x. Therefore, 0.8x = 240; x = 240 / 0.8 = 300.

Correct Answer: A — $300

Q. If a shirt is sold for $40 after a 20% discount, what was its original price?

A. $32
B. $36
C. $48
D. $50

Solution

Let original price be x. 0.8x = 40, x = 40/0.8 = 50

Correct Answer: C — $48

Q. If a shirt is sold for $40 after a discount of 20%, what was the original price of the shirt?

A. $50
B. $60
C. $45
D. $55

Solution

Let the original price be x. Then, 0.8x = 40, so x = 40/0.8 = $50.

Correct Answer: A — $50

Q. If a shirt is sold for $45 after a discount of 10%, what was the original price of the shirt?

A. $50
B. $55
C. $60
D. $65

Solution

Let the original price be x. After a 10% discount, the selling price is x - 0.1x = 0.9x. So, 0.9x = 45. Therefore, x = 45/0.9 = $50.

Correct Answer: A — $50

Q. If a student answered 85% of the questions correctly in an exam and there were 120 questions, how many questions did he answer correctly?

A. 90
B. 95
C. 100
D. 102

Solution

Correct answers = 0.85 * 120 = 102.

Correct Answer: C — 100

Q. If a student answered 90 questions correctly out of 120, what is the percentage of correct answers?

A. 70%
B. 75%
C. 80%
D. 85%

Solution

Percentage of correct answers = (90 / 120) * 100 = 75%.

Correct Answer: C — 80%

Q. If a student increases his score from 50 to 70 in a test, what is the percentage increase in his score?

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

Solution

Percentage increase = ((70 - 50) / 50) * 100 = 40%.

Correct Answer: B — 40%

Q. If a student needs to score at least 75% to pass an exam and he scored 300 out of 400, did he pass?

A. Yes
B. No
C. Cannot be determined
D. None of the above

Solution

Percentage = (300/400)*100 = 75%. Since he scored exactly 75%, he passes.

Correct Answer: A — Yes

Q. If a student needs to score at least 75% to pass and he scored 300 marks out of 400, did he pass?

A. Yes
B. No
C. Cannot determine
D. Depends on the subject

Solution

Percentage = (300/400) * 100 = 75%. He passed.

Correct Answer: A — Yes

Q. If a student scored 75% in an exam and the total marks were 800, how many marks did he score?

A. 600
B. 650
C. 700
D. 750

Solution

Marks scored = 75% of 800 = 0.75 * 800 = 600.

Correct Answer: A — 600

Q. If a student scores 45 out of 60 in an exam, what is his percentage score?

A. 70%
B. 75%
C. 80%
D. 85%

Solution

Percentage score = (45 / 60) * 100 = 75%.

Correct Answer: B — 75%

Q. If a student scores 60 marks out of 80 in a test, what is the percentage score?

A. 70%
B. 75%
C. 80%
D. 85%

Solution

Percentage = (60 / 80) * 100 = 75%.

Correct Answer: B — 75%

Q. If a student scores 90 marks out of 120 in an exam, what is his percentage score?

A. 70%
B. 75%
C. 80%
D. 85%

Solution

Percentage score = (90/120) * 100 = 75%.

Correct Answer: C — 80%

Q. If a student scores 90 marks out of 120, what is the percentage of marks obtained?

A. 70%
B. 75%
C. 80%
D. 85%

Solution

Percentage = (90/120) * 100 = 75%.

Correct Answer: C — 80%

Q. If a student scores 90 marks which is 75% of the total marks, what are the total marks?

A. 100
B. 120
C. 150
D. 200

Solution

Total marks = 90 / (75/100) = 90 * (100/75) = 120.

Correct Answer: B — 120

Q. In a class, 60% of the students are girls. If there are 24 girls, how many students are there in total?

A. 30
B. 36
C. 40
D. 42

Solution

Let the total number of students be x. Then, 0.6x = 24. Therefore, x = 24 / 0.6 = 40.

Correct Answer: B — 36

Q. In a class, 60% of the students are girls. If there are 30 boys, how many students are there in total?

A. 50
B. 60
C. 70
D. 80

Solution

Let the total number of students be x. Then, 40% of x = 30 (boys). So, x = 30 / 0.4 = 75. Total students = 75.

Correct Answer: B — 60

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