CSS - PMS - CCE - PCS - Mathematics
Percentage
If 32% of a quantity is selected and then 42% of that selected amount is taken, the final amount is what percent of the original?
A. 100
B. 13.44%
C. 52%
D. 75%
Correct Answer: B
Final percentage = (32/100) × (42/100) × 100
= (32 × 42) ÷ 100
= 13.44%
Answer = 13.44%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 27% of 22% of 1,200?
A. 71.28
B. 52%
C. 100
D. 75%
Correct Answer: A
22% of 1,200 = (22 ÷ 100) × 1,200 = 264
27% of that = (27 ÷ 100) × 264 = 71.28
Answer = 71.28
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 7%. By what percentage does its volume increase?
A. 52%
B. 22.5%
C. 100
D. 75%
Correct Answer: B
Volume ∝ side³
Percentage increase = [(1 + 7/100)³ − 1] × 100
= 22.5%
Answer = 22.5%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 12% and its breadth by 22%. By what percentage does its area increase?
A. 36.64%
B. 75%
C. 100
D. 52%
Correct Answer: A
Area ∝ Length × Breadth
Area increase % = 12 + 22 + (12 × 22 ÷ 100)
= 36.64%
Answer = 36.64%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 600, while the actual value is 640. What is the percentage error based on actual value?
A. 12%
B. 22%
C. 6.25%
D. 7 percentage points
Correct Answer: C
Absolute error = 40
Percentage error = (40 ÷ 640) × 100
= 6.25%
Answer = 6.25%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 29% to 41%. What is the relative percentage increase in the rate?
A. 12%
B. 41.38%
C. 7 percentage points
D. 22%
Correct Answer: B
Increase = 12 percentage points
Relative increase = (12 ÷ 29) × 100 = 41.38%
Answer = 41.38%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 24% to 34%. What is the increase in percentage points?
A. 22%
B. 10 percentage points
C. 12%
D. 7 percentage points
Correct Answer: B
Percentage-point increase = 34% − 24% = 10 percentage points
Answer = 10 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 1,400 but the measured value is 1,456. Find the percentage error.
A. 12%
B. 4%
C. 22%
D. 7 percentage points
Correct Answer: B
Absolute error = 56
Percentage error = (56 ÷ 1,400) × 100
= 4%
Answer = 4%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,000 g solution contains 27% acid. How many grams are not acid?
A. 270 g
B. 1,000 g
C. 730 g
D. 27%
Correct Answer: C
Non-acid percentage = 100 − 27 = 73%
Non-acid = (73 ÷ 100) × 1,000 = 730 g
Answer = 730 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 900 g mixture contains 198 g sugar. What percentage of the mixture is sugar?
A. None of these 1
B. 22%
C. 198 g
D. 900 g
Correct Answer: B
Sugar % = (198 ÷ 900) × 100
= 22%
Answer = 22%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 800 g solution contains 17% salt. How many grams of salt are present?
A. 800 g
B. 136 g
C. 17%
D. None of these 1
Correct Answer: B
Salt = (17 ÷ 100) × 800 = 136 g
Answer = 136 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 700 g solution contains 12% salt. How many grams of salt are present?
A. 84 g
B. 12%
C. 700 g
D. None of these 1
Correct Answer: A
Salt = (12 ÷ 100) × 700 = 84 g
Answer = 84 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 4,000 ballots, 7% are invalid. How many valid ballots remain?
A. 3,720
B. 7%
C. 4,000
D. 280
Correct Answer: A
Valid percentage = 100 − 7 = 93%
Valid ballots = (93 ÷ 100) × 4,000 = 3,720
Answer = 3,720
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 700 students. If 82% are present, how many are absent?
A. 18%
B. 700
C. 126
D. 574
Correct Answer: C
Absent percentage = 100 − 82 = 18%
Absent students = (18 ÷ 100) × 700 = 126
Answer = 126
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 1,400 people, 62% support a proposal. How many people support it?
A. 868
B. 1,400
C. 62%
D. 532
Correct Answer: A
Supporters = (62 ÷ 100) × 1,400 = 868
Answer = 868
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 57% of valid votes and wins by 4,200 votes. How many valid votes were cast?
A. 4,200
B. 35,000
C. 25,000
D. 30,000
Correct Answer: D
Loser = 43%
Margin percentage = 57% − 43% = 14%
Total votes = 4,200 × 100 ÷ 14 = 30,000
Answer = 30,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 13,500 on a commodity. Its price falls by 32%. By what percentage may consumption increase while expenditure remains unchanged?
A. 27%
B. 37%
C. 32%
D. 47.06%
Correct Answer: D
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 32 ÷ 68 × 100
= 47.06%
Answer = 47.06%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 13,000 on a commodity. Its price falls by 27%. By what percentage may consumption increase while expenditure remains unchanged?
A. 36.99%
B. 27%
C. 32%
D. 22%
Correct Answer: A
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 27 ÷ 73 × 100
= 36.99%
Answer = 36.99%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 12,500 on a commodity. Its price rises by 22%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 27%
B. 22%
C. 18.03%
D. 17%
Correct Answer: C
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 22 ÷ 122 × 100
= 18.03%
Answer = 18.03%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 12,000 on a commodity. Its price rises by 12%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 7%
B. 10.71%
C. 17%
D. 12%
Correct Answer: B
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 12 ÷ 112 × 100
= 10.71%
Answer = 10.71%