CSS - PMS - CCE - PCS - Mathematics
Percentage
If 31% of a quantity is selected and then 41% of that selected amount is taken, the final amount is what percent of the original?
A. 75%
B. 12.71%
C. 51%
D. 100
Correct Answer: B
Final percentage = (31/100) × (41/100) × 100
= (31 × 41) ÷ 100
= 12.71%
Answer = 12.71%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 26% of 21% of 1,100?
A. 60.06
B. 51%
C. 75%
D. 100
Correct Answer: A
21% of 1,100 = (21 ÷ 100) × 1,100 = 231
26% of that = (26 ÷ 100) × 231 = 60.06
Answer = 60.06
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 6%. By what percentage does its volume increase?
A. 75%
B. 100
C. 51%
D. 19.1%
Correct Answer: D
Volume ∝ side³
Percentage increase = [(1 + 6/100)³ − 1] × 100
= 19.1%
Answer = 19.1%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 11% and its breadth by 21%. By what percentage does its area increase?
A. 51%
B. 100
C. 75%
D. 34.31%
Correct Answer: D
Area ∝ Length × Breadth
Area increase % = 11 + 21 + (11 × 21 ÷ 100)
= 34.31%
Answer = 34.31%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 550, while the actual value is 585. What is the percentage error based on actual value?
A. 6 percentage points
B. 21%
C. 11%
D. 5.98%
Correct Answer: D
Absolute error = 35
Percentage error = (35 ÷ 585) × 100
= 5.98%
Answer = 5.98%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 27% to 38%. What is the relative percentage increase in the rate?
A. 6 percentage points
B. 11%
C. 40.74%
D. 21%
Correct Answer: C
Increase = 11 percentage points
Relative increase = (11 ÷ 27) × 100 = 40.74%
Answer = 40.74%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 22% to 31%. What is the increase in percentage points?
A. 21%
B. 6 percentage points
C. 11%
D. 9 percentage points
Correct Answer: D
Percentage-point increase = 31% − 22% = 9 percentage points
Answer = 9 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 1,200 but the measured value is 1,236. Find the percentage error.
A. 21%
B. 3%
C. 6 percentage points
D. 11%
Correct Answer: B
Absolute error = 36
Percentage error = (36 ÷ 1,200) × 100
= 3%
Answer = 3%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 900 g solution contains 26% acid. How many grams are not acid?
A. 666 g
B. 900 g
C. 26%
D. 234 g
Correct Answer: A
Non-acid percentage = 100 − 26 = 74%
Non-acid = (74 ÷ 100) × 900 = 666 g
Answer = 666 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 800 g mixture contains 168 g sugar. What percentage of the mixture is sugar?
A. 21%
B. 800 g
C. None of these 1
D. 168 g
Correct Answer: A
Sugar % = (168 ÷ 800) × 100
= 21%
Answer = 21%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 700 g solution contains 16% salt. How many grams of salt are present?
A. 700 g
B. 112 g
C. None of these 1
D. 16%
Correct Answer: B
Salt = (16 ÷ 100) × 700 = 112 g
Answer = 112 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 600 g solution contains 11% salt. How many grams of salt are present?
A. 11%
B. 600 g
C. None of these 1
D. 66 g
Correct Answer: D
Salt = (11 ÷ 100) × 600 = 66 g
Answer = 66 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 3,500 ballots, 6% are invalid. How many valid ballots remain?
A. 6%
B. 3,290
C. 210
D. 3,500
Correct Answer: B
Valid percentage = 100 − 6 = 94%
Valid ballots = (94 ÷ 100) × 3,500 = 3,290
Answer = 3,290
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 600 students. If 81% are present, how many are absent?
A. 114
B. 19%
C. 600
D. 486
Correct Answer: A
Absent percentage = 100 − 81 = 19%
Absent students = (19 ÷ 100) × 600 = 114
Answer = 114
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 1,200 people, 61% support a proposal. How many people support it?
A. 61%
B. 1,200
C. 732
D. 468
Correct Answer: C
Supporters = (61 ÷ 100) × 1,200 = 732
Answer = 732
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 56% of valid votes and wins by 3,000 votes. How many valid votes were cast?
A. 25,000
B. 30,000
C. 3,000
D. 20,000
Correct Answer: A
Loser = 44%
Margin percentage = 56% − 44% = 12%
Total votes = 3,000 × 100 ÷ 12 = 25,000
Answer = 25,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 12,500 on a commodity. Its price falls by 31%. By what percentage may consumption increase while expenditure remains unchanged?
A. 44.93%
B. 26%
C. 36%
D. 31%
Correct Answer: A
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 31 ÷ 69 × 100
= 44.93%
Answer = 44.93%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 12,000 on a commodity. Its price falls by 26%. By what percentage may consumption increase while expenditure remains unchanged?
A. 31%
B. 21%
C. 35.14%
D. 26%
Correct Answer: C
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 26 ÷ 74 × 100
= 35.14%
Answer = 35.14%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 11,500 on a commodity. Its price rises by 21%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 26%
B. 16%
C. 17.36%
D. 21%
Correct Answer: C
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 21 ÷ 121 × 100
= 17.36%
Answer = 17.36%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 11,000 on a commodity. Its price rises by 11%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 9.91%
B. 16%
C. 6%
D. 11%
Correct Answer: A
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 11 ÷ 111 × 100
= 9.91%
Answer = 9.91%