CSS - PMS - CCE - PCS - Mathematics
Percentage
If 30% of a quantity is selected and then 40% of that selected amount is taken, the final amount is what percent of the original?
A. 75%
B. 12%
C. 100
D. 50%
Correct Answer: B
Final percentage = (30/100) × (40/100) × 100
= (30 × 40) ÷ 100
= 12%
Answer = 12%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 25% of 20% of 1,000?
A. 50%
B. 50
C. 75%
D. 100
Correct Answer: B
20% of 1,000 = (20 ÷ 100) × 1,000 = 200
25% of that = (25 ÷ 100) × 200 = 50
Answer = 50
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 5%. By what percentage does its volume increase?
A. 15.76%
B. 100
C. 75%
D. 50%
Correct Answer: A
Volume ∝ side³
Percentage increase = [(1 + 5/100)³ − 1] × 100
= 15.76%
Answer = 15.76%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 10% and its breadth by 20%. By what percentage does its area increase?
A. 75%
B. 32%
C. 100
D. 50%
Correct Answer: B
Area ∝ Length × Breadth
Area increase % = 10 + 20 + (10 × 20 ÷ 100)
= 32%
Answer = 32%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 500, while the actual value is 530. What is the percentage error based on actual value?
A. 20%
B. 10%
C. 5.66%
D. 5 percentage points
Correct Answer: C
Absolute error = 30
Percentage error = (30 ÷ 530) × 100
= 5.66%
Answer = 5.66%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 25% to 35%. What is the relative percentage increase in the rate?
A. 5 percentage points
B. 20%
C. 40%
D. 10%
Correct Answer: C
Increase = 10 percentage points
Relative increase = (10 ÷ 25) × 100 = 40%
Answer = 40%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 20% to 28%. What is the increase in percentage points?
A. 8 percentage points
B. 5 percentage points
C. 20%
D. 10%
Correct Answer: A
Percentage-point increase = 28% − 20% = 8 percentage points
Answer = 8 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 1,000 but the measured value is 1,020. Find the percentage error.
A. 20%
B. 2%
C. 5 percentage points
D. 10%
Correct Answer: B
Absolute error = 20
Percentage error = (20 ÷ 1,000) × 100
= 2%
Answer = 2%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 800 g solution contains 25% acid. How many grams are not acid?
A. 25%
B. 200 g
C. 800 g
D. 600 g
Correct Answer: D
Non-acid percentage = 100 − 25 = 75%
Non-acid = (75 ÷ 100) × 800 = 600 g
Answer = 600 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 700 g mixture contains 140 g sugar. What percentage of the mixture is sugar?
A. 140 g
B. 700 g
C. None of these 1
D. 20%
Correct Answer: D
Sugar % = (140 ÷ 700) × 100
= 20%
Answer = 20%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 600 g solution contains 15% salt. How many grams of salt are present?
A. 600 g
B. 15%
C. None of these 1
D. 90 g
Correct Answer: D
Salt = (15 ÷ 100) × 600 = 90 g
Answer = 90 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 500 g solution contains 10% salt. How many grams of salt are present?
A. 10%
B. 50 g
C. None of these 1
D. 500 g
Correct Answer: B
Salt = (10 ÷ 100) × 500 = 50 g
Answer = 50 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 3,000 ballots, 5% are invalid. How many valid ballots remain?
A. 150
B. 2,850
C. 3,000
D. 5%
Correct Answer: B
Valid percentage = 100 − 5 = 95%
Valid ballots = (95 ÷ 100) × 3,000 = 2,850
Answer = 2,850
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 500 students. If 80% are present, how many are absent?
A. 20%
B. 100
C. 400
D. 500
Correct Answer: B
Absent percentage = 100 − 80 = 20%
Absent students = (20 ÷ 100) × 500 = 100
Answer = 100
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 1,000 people, 60% support a proposal. How many people support it?
A. 400
B. 1,000
C. 60%
D. 600
Correct Answer: D
Supporters = (60 ÷ 100) × 1,000 = 600
Answer = 600
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 55% of valid votes and wins by 2,000 votes. How many valid votes were cast?
A. 2,000
B. 20,000
C. 25,000
D. 15,000
Correct Answer: B
Loser = 45%
Margin percentage = 55% − 45% = 10%
Total votes = 2,000 × 100 ÷ 10 = 20,000
Answer = 20,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 11,500 on a commodity. Its price falls by 30%. By what percentage may consumption increase while expenditure remains unchanged?
A. 30%
B. 25%
C. 42.86%
D. 35%
Correct Answer: C
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 30 ÷ 70 × 100
= 42.86%
Answer = 42.86%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 11,000 on a commodity. Its price falls by 25%. By what percentage may consumption increase while expenditure remains unchanged?
A. 33.33%
B. 20%
C. 25%
D. 30%
Correct Answer: A
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 25 ÷ 75 × 100
= 33.33%
Answer = 33.33%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 10,500 on a commodity. Its price rises by 20%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 20%
B. 15%
C. 16.67%
D. 25%
Correct Answer: C
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 20 ÷ 120 × 100
= 16.67%
Answer = 16.67%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 10,000 on a commodity. Its price rises by 10%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 9.09%
B. 15%
C. 5%
D. 10%
Correct Answer: A
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 10 ÷ 110 × 100
= 9.09%
Answer = 9.09%