CSS - PMS - CCE - PCS - Mathematics
Percentage
If 34% of a quantity is selected and then 44% of that selected amount is taken, the final amount is what percent of the original?
A. 54%
B. 75%
C. 14.96%
D. 100
Correct Answer: C
Final percentage = (34/100) × (44/100) × 100
= (34 × 44) ÷ 100
= 14.96%
Answer = 14.96%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 29% of 24% of 1,400?
A. 97.44
B. 75%
C. 54%
D. 100
Correct Answer: A
24% of 1,400 = (24 ÷ 100) × 1,400 = 336
29% of that = (29 ÷ 100) × 336 = 97.44
Answer = 97.44
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 9%. By what percentage does its volume increase?
A. 100
B. 54%
C. 29.5%
D. 75%
Correct Answer: C
Volume ∝ side³
Percentage increase = [(1 + 9/100)³ − 1] × 100
= 29.5%
Answer = 29.5%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 14% and its breadth by 24%. By what percentage does its area increase?
A. 41.36%
B. 100
C. 75%
D. 54%
Correct Answer: A
Area ∝ Length × Breadth
Area increase % = 14 + 24 + (14 × 24 ÷ 100)
= 41.36%
Answer = 41.36%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 700, while the actual value is 750. What is the percentage error based on actual value?
A. 14%
B. 24%
C. 9 percentage points
D. 6.67%
Correct Answer: D
Absolute error = 50
Percentage error = (50 ÷ 750) × 100
= 6.67%
Answer = 6.67%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 33% to 47%. What is the relative percentage increase in the rate?
A. 42.42%
B. 24%
C. 14%
D. 9 percentage points
Correct Answer: A
Increase = 14 percentage points
Relative increase = (14 ÷ 33) × 100 = 42.42%
Answer = 42.42%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 28% to 40%. What is the increase in percentage points?
A. 14%
B. 24%
C. 9 percentage points
D. 12 percentage points
Correct Answer: D
Percentage-point increase = 40% − 28% = 12 percentage points
Answer = 12 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 1,800 but the measured value is 1,908. Find the percentage error.
A. 24%
B. 14%
C. 9 percentage points
D. 6%
Correct Answer: D
Absolute error = 108
Percentage error = (108 ÷ 1,800) × 100
= 6%
Answer = 6%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,200 g solution contains 29% acid. How many grams are not acid?
A. 1,200 g
B. 29%
C. 852 g
D. 348 g
Correct Answer: C
Non-acid percentage = 100 − 29 = 71%
Non-acid = (71 ÷ 100) × 1,200 = 852 g
Answer = 852 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,100 g mixture contains 264 g sugar. What percentage of the mixture is sugar?
A. None of these 1
B. 1,100 g
C. 264 g
D. 24%
Correct Answer: D
Sugar % = (264 ÷ 1,100) × 100
= 24%
Answer = 24%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,000 g solution contains 19% salt. How many grams of salt are present?
A. 1,000 g
B. 19%
C. 190 g
D. None of these 1
Correct Answer: C
Salt = (19 ÷ 100) × 1,000 = 190 g
Answer = 190 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 900 g solution contains 14% salt. How many grams of salt are present?
A. 14%
B. None of these 1
C. 126 g
D. 900 g
Correct Answer: C
Salt = (14 ÷ 100) × 900 = 126 g
Answer = 126 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 5,000 ballots, 9% are invalid. How many valid ballots remain?
A. 5,000
B. 450
C. 4,550
D. 9%
Correct Answer: C
Valid percentage = 100 − 9 = 91%
Valid ballots = (91 ÷ 100) × 5,000 = 4,550
Answer = 4,550
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 900 students. If 84% are present, how many are absent?
A. 900
B. 756
C. 144
D. 16%
Correct Answer: C
Absent percentage = 100 − 84 = 16%
Absent students = (16 ÷ 100) × 900 = 144
Answer = 144
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 1,800 people, 64% support a proposal. How many people support it?
A. 648
B. 1,800
C. 64%
D. 1,152
Correct Answer: D
Supporters = (64 ÷ 100) × 1,800 = 1,152
Answer = 1,152
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 59% of valid votes and wins by 7,200 votes. How many valid votes were cast?
A. 7,200
B. 45,000
C. 35,000
D. 40,000
Correct Answer: D
Loser = 41%
Margin percentage = 59% − 41% = 18%
Total votes = 7,200 × 100 ÷ 18 = 40,000
Answer = 40,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 15,500 on a commodity. Its price falls by 34%. By what percentage may consumption increase while expenditure remains unchanged?
A. 51.52%
B. 29%
C. 34%
D. 39%
Correct Answer: A
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 34 ÷ 66 × 100
= 51.52%
Answer = 51.52%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 15,000 on a commodity. Its price falls by 29%. By what percentage may consumption increase while expenditure remains unchanged?
A. 40.85%
B. 29%
C. 24%
D. 34%
Correct Answer: A
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 29 ÷ 71 × 100
= 40.85%
Answer = 40.85%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 14,500 on a commodity. Its price rises by 24%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 24%
B. 29%
C. 19.35%
D. 19%
Correct Answer: C
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 24 ÷ 124 × 100
= 19.35%
Answer = 19.35%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 14,000 on a commodity. Its price rises by 14%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 19%
B. 12.28%
C. 9%
D. 14%
Correct Answer: B
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 14 ÷ 114 × 100
= 12.28%
Answer = 12.28%