CSS - PMS - CCE - PCS - Mathematics
Percentage
If 33% of a quantity is selected and then 43% of that selected amount is taken, the final amount is what percent of the original?
A. 100
B. 75%
C. 14.19%
D. 53%
Correct Answer: C
Final percentage = (33/100) × (43/100) × 100
= (33 × 43) ÷ 100
= 14.19%
Answer = 14.19%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 28% of 23% of 1,300?
A. 53%
B. 75%
C. 100
D. 83.72
Correct Answer: D
23% of 1,300 = (23 ÷ 100) × 1,300 = 299
28% of that = (28 ÷ 100) × 299 = 83.72
Answer = 83.72
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 8%. By what percentage does its volume increase?
A. 100
B. 25.97%
C. 53%
D. 75%
Correct Answer: B
Volume ∝ side³
Percentage increase = [(1 + 8/100)³ − 1] × 100
= 25.97%
Answer = 25.97%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 13% and its breadth by 23%. By what percentage does its area increase?
A. 53%
B. 38.99%
C. 100
D. 75%
Correct Answer: B
Area ∝ Length × Breadth
Area increase % = 13 + 23 + (13 × 23 ÷ 100)
= 38.99%
Answer = 38.99%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 650, while the actual value is 695. What is the percentage error based on actual value?
A. 6.47%
B. 13%
C. 23%
D. 8 percentage points
Correct Answer: A
Absolute error = 45
Percentage error = (45 ÷ 695) × 100
= 6.47%
Answer = 6.47%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 31% to 44%. What is the relative percentage increase in the rate?
A. 8 percentage points
B. 23%
C. 41.94%
D. 13%
Correct Answer: C
Increase = 13 percentage points
Relative increase = (13 ÷ 31) × 100 = 41.94%
Answer = 41.94%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 26% to 37%. What is the increase in percentage points?
A. 13%
B. 8 percentage points
C. 23%
D. 11 percentage points
Correct Answer: D
Percentage-point increase = 37% − 26% = 11 percentage points
Answer = 11 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 1,600 but the measured value is 1,680. Find the percentage error.
A. 13%
B. 23%
C. 5%
D. 8 percentage points
Correct Answer: C
Absolute error = 80
Percentage error = (80 ÷ 1,600) × 100
= 5%
Answer = 5%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,100 g solution contains 28% acid. How many grams are not acid?
A. 792 g
B. 308 g
C. 1,100 g
D. 28%
Correct Answer: A
Non-acid percentage = 100 − 28 = 72%
Non-acid = (72 ÷ 100) × 1,100 = 792 g
Answer = 792 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,000 g mixture contains 230 g sugar. What percentage of the mixture is sugar?
A. 23%
B. 1,000 g
C. None of these 1
D. 230 g
Correct Answer: A
Sugar % = (230 ÷ 1,000) × 100
= 23%
Answer = 23%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 900 g solution contains 18% salt. How many grams of salt are present?
A. 18%
B. None of these 1
C. 900 g
D. 162 g
Correct Answer: D
Salt = (18 ÷ 100) × 900 = 162 g
Answer = 162 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 800 g solution contains 13% salt. How many grams of salt are present?
A. None of these 1
B. 13%
C. 800 g
D. 104 g
Correct Answer: D
Salt = (13 ÷ 100) × 800 = 104 g
Answer = 104 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 4,500 ballots, 8% are invalid. How many valid ballots remain?
A. 8%
B. 360
C. 4,500
D. 4,140
Correct Answer: D
Valid percentage = 100 − 8 = 92%
Valid ballots = (92 ÷ 100) × 4,500 = 4,140
Answer = 4,140
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 800 students. If 83% are present, how many are absent?
A. 17%
B. 800
C. 664
D. 136
Correct Answer: D
Absent percentage = 100 − 83 = 17%
Absent students = (17 ÷ 100) × 800 = 136
Answer = 136
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 1,600 people, 63% support a proposal. How many people support it?
A. 592
B. 1,008
C. 63%
D. 1,600
Correct Answer: B
Supporters = (63 ÷ 100) × 1,600 = 1,008
Answer = 1,008
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 58% of valid votes and wins by 5,600 votes. How many valid votes were cast?
A. 30,000
B. 5,600
C. 35,000
D. 40,000
Correct Answer: C
Loser = 42%
Margin percentage = 58% − 42% = 16%
Total votes = 5,600 × 100 ÷ 16 = 35,000
Answer = 35,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 14,500 on a commodity. Its price falls by 33%. By what percentage may consumption increase while expenditure remains unchanged?
A. 38%
B. 49.25%
C. 28%
D. 33%
Correct Answer: B
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 33 ÷ 67 × 100
= 49.25%
Answer = 49.25%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 14,000 on a commodity. Its price falls by 28%. By what percentage may consumption increase while expenditure remains unchanged?
A. 28%
B. 33%
C. 38.89%
D. 23%
Correct Answer: C
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 28 ÷ 72 × 100
= 38.89%
Answer = 38.89%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 13,500 on a commodity. Its price rises by 23%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 28%
B. 23%
C. 18.7%
D. 18%
Correct Answer: C
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 23 ÷ 123 × 100
= 18.7%
Answer = 18.7%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 13,000 on a commodity. Its price rises by 13%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 18%
B. 13%
C. 8%
D. 11.5%
Correct Answer: D
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 13 ÷ 113 × 100
= 11.5%
Answer = 11.5%