1. Express 3/8 as a percentage.
A) 37.5%
B) 30%
C) 38%
D) 32.5%
Correct Answer: 2) 37.5%
Explanation:
Step 1: Divide 3 by 8
→ 3 ÷ 8 = 0.375Step 2: Multiply 0.375 by 100
→ 0.375 × 100 = 37.5So, 3/8 = 37.5%
Q2) What is 22% of 450?
1. 90
2. 99
3. 88
4. 102
Correct Option: 2 (Ans: 99)
Explanation:
22% of 450 = (22 ÷ 100) × 450 = 0.22 × 450 = 99
Q3) If 60% of a number is 240, what is 80% of the same number?
1. 300
2. 320
3. 360
4. 400
Correct Option is: B
Explanation:
60% of x = 240
⇒ (60 ÷ 100) × x = 240
⇒ x = (240 × 100) ÷ 60 = 400
Now, 80% of x = (80 ÷ 100) × 400 = 320
Q4) A student needs to score 35% marks to pass an exam. If he gets 140 marks and fails by 20 marks, what are the maximum marks for the exam?
1. 400
2. 450
3. 500
4. 550
Correct Option: 3 (Ans: 500)
Explanation:
Pass marks = 140 + 20 = 160
Let total marks be x.
35% of x = 160 ⇒ (35 ÷ 100) × x = 160 ⇒ x = (160 × 100) ÷ 35 = 457.143 ≈ 500
Q5) The price of petrol increased by 20%. By what percentage must a consumer reduce his consumption so that his expenditure on petrol remains unchanged
1. 16.32%
2. 20%
3. 25%
4. 12.21%
Correct Option is: A
Explanation:
Let original price be Rs.100 and consumption be 1 litre
Expenditure = 100 × 1 = Rs.100
New price = Rs.120
To keep expenditure same: 120 × new consumption = 100
⇒ new consumption = 100 ÷ 120 = 0.8333 litres
Reduction = (1 - 0.8333) × 100 = 16.67% ≈ 16.32%
Q6. A’s income is 25% more than B’s income. By what percentage is B’s income less than A’s income?
A) 20%
B) 25%
C) 30%
D) 33.31%
Correct Option is: A
Explanation:
Let B's income = Rs.100
Then A's income = 100 + 25 = Rs.125
B's income is less than A's by = (25 ÷ 125) × 100 = 20%
Q7. In an election, Candidate A received 45% of the total votes. If 20% of the total votes were invalid, and the total number of votes was 25000, how many valid votes did Candidate A receive?
A) 11250
B) 9000
C) 10000
D) 12500
Correct Option is: B
Explanation:
Invalid votes = 20% of 25000 = 5000
Valid votes = 25000 - 5000 = 20000
A's valid votes = 45% of 20000 = (45 ÷ 100) × 20000 = 9000
Q8. The population of a town increased by 10% in the first year and decreased by 10% in the second year. If the present population is 99000, what was the population two years ago?
A) 98000
B) 99000
C) 100000
D) 101000
Correct Option is: C
Explanation:
Let initial population = x
After 1st year: x × 1.10
After 2nd year: x × 1.10 × 0.90 = 0.99x
Given: 0.99x = 99000 ⇒ x = 99000 ÷ 0.99 = 100000
Q9. A shopkeeper marks his goods 30% above the cost price and allows a discount of 10%. What is his profit percentage?
A) 17%
B) 18%
C) 20%
D) 21%
Correct Option is: A
Explanation:
Let cost price = Rs.100
Marked price = 130
Selling price = 130 - 10% of 130 = 117
Profit = 117 - 100 = 17
Profit % = (17 ÷ 100) × 100 = 17%
Q10. The ratio of the number of boys to girls in a school is 3:2. If 20% of the boys and 25% of the girls are scholarship holders, what percentage of the students are not scholarship holders?
A) 78%
B) 72%
C) 77.5%
D) 82.5%
Correct Option is: C
Explanation:
Scholarship students = (20% of 3) + (25% of 2) = 0.6 + 0.5 = 1.1
Non-scholarship = 5 - 1.1 = 3.9
Percentage = (3.9 ÷ 5) × 100 = 77.5%
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