CSS - PMS - CCE - PCS - Mathematics
Percentage
If 39% of a quantity is selected and then 49% of that selected amount is taken, the final amount is what percent of the original?
A. 59%
B. 19.11%
C. 75%
D. 100
Correct Answer: B
Final percentage = (39/100) × (49/100) × 100
= (39 × 49) ÷ 100
= 19.11%
Answer = 19.11%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 34% of 29% of 1,900?
A. 100
B. 187.34
C. 75%
D. 59%
Correct Answer: B
29% of 1,900 = (29 ÷ 100) × 1,900 = 551
34% of that = (34 ÷ 100) × 551 = 187.34
Answer = 187.34
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 14%. By what percentage does its volume increase?
A. 48.15%
B. 75%
C. 100
D. 59%
Correct Answer: A
Volume ∝ side³
Percentage increase = [(1 + 14/100)³ − 1] × 100
= 48.15%
Answer = 48.15%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 19% and its breadth by 29%. By what percentage does its area increase?
A. 100
B. 59%
C. 75%
D. 53.51%
Correct Answer: D
Area ∝ Length × Breadth
Area increase % = 19 + 29 + (19 × 29 ÷ 100)
= 53.51%
Answer = 53.51%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 950, while the actual value is 1,025. What is the percentage error based on actual value?
A. 19%
B. 29%
C. 7.32%
D. 14 percentage points
Correct Answer: C
Absolute error = 75
Percentage error = (75 ÷ 1,025) × 100
= 7.32%
Answer = 7.32%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 43% to 62%. What is the relative percentage increase in the rate?
A. 29%
B. 19%
C. 44.19%
D. 14 percentage points
Correct Answer: C
Increase = 19 percentage points
Relative increase = (19 ÷ 43) × 100 = 44.19%
Answer = 44.19%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 38% to 55%. What is the increase in percentage points?
A. 19%
B. 14 percentage points
C. 17 percentage points
D. 29%
Correct Answer: C
Percentage-point increase = 55% − 38% = 17 percentage points
Answer = 17 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 2,800 but the measured value is 3,108. Find the percentage error.
A. 19%
B. 11%
C. 14 percentage points
D. 29%
Correct Answer: B
Absolute error = 308
Percentage error = (308 ÷ 2,800) × 100
= 11%
Answer = 11%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,700 g solution contains 34% acid. How many grams are not acid?
A. 578 g
B. 34%
C. 1,122 g
D. 1,700 g
Correct Answer: C
Non-acid percentage = 100 − 34 = 66%
Non-acid = (66 ÷ 100) × 1,700 = 1,122 g
Answer = 1,122 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,600 g mixture contains 464 g sugar. What percentage of the mixture is sugar?
A. 29%
B. 1,600 g
C. 464 g
D. None of these 1
Correct Answer: A
Sugar % = (464 ÷ 1,600) × 100
= 29%
Answer = 29%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,500 g solution contains 24% salt. How many grams of salt are present?
A. 360 g
B. 1,500 g
C. None of these 1
D. 24%
Correct Answer: A
Salt = (24 ÷ 100) × 1,500 = 360 g
Answer = 360 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,400 g solution contains 19% salt. How many grams of salt are present?
A. 1,400 g
B. None of these 1
C. 266 g
D. 19%
Correct Answer: C
Salt = (19 ÷ 100) × 1,400 = 266 g
Answer = 266 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 7,500 ballots, 14% are invalid. How many valid ballots remain?
A. 1,050
B. 6,450
C. 14%
D. 7,500
Correct Answer: B
Valid percentage = 100 − 14 = 86%
Valid ballots = (86 ÷ 100) × 7,500 = 6,450
Answer = 6,450
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 1,400 students. If 89% are present, how many are absent?
A. 1,246
B. 11%
C. 1,400
D. 154
Correct Answer: D
Absent percentage = 100 − 89 = 11%
Absent students = (11 ÷ 100) × 1,400 = 154
Answer = 154
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 2,800 people, 69% support a proposal. How many people support it?
A. 868
B. 69%
C. 2,800
D. 1,932
Correct Answer: D
Supporters = (69 ÷ 100) × 2,800 = 1,932
Answer = 1,932
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 64% of valid votes and wins by 18,200 votes. How many valid votes were cast?
A. 65,000
B. 70,000
C. 18,200
D. 60,000
Correct Answer: A
Loser = 36%
Margin percentage = 64% − 36% = 28%
Total votes = 18,200 × 100 ÷ 28 = 65,000
Answer = 65,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 20,500 on a commodity. Its price falls by 39%. By what percentage may consumption increase while expenditure remains unchanged?
A. 34%
B. 39%
C. 44%
D. 63.93%
Correct Answer: D
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 39 ÷ 61 × 100
= 63.93%
Answer = 63.93%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 20,000 on a commodity. Its price falls by 34%. By what percentage may consumption increase while expenditure remains unchanged?
A. 39%
B. 34%
C. 29%
D. 51.52%
Correct Answer: D
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 34 ÷ 66 × 100
= 51.52%
Answer = 51.52%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 19,500 on a commodity. Its price rises by 29%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 34%
B. 24%
C. 29%
D. 22.48%
Correct Answer: D
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 29 ÷ 129 × 100
= 22.48%
Answer = 22.48%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 19,000 on a commodity. Its price rises by 19%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 19%
B. 14%
C. 15.97%
D. 24%
Correct Answer: C
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 19 ÷ 119 × 100
= 15.97%
Answer = 15.97%