CSS - PMS - CCE - PCS - Mathematics
Percentage
If 37% of a quantity is selected and then 47% of that selected amount is taken, the final amount is what percent of the original?
A. 75%
B. 100
C. 57%
D. 17.39%
Correct Answer: D
Final percentage = (37/100) × (47/100) × 100
= (37 × 47) ÷ 100
= 17.39%
Answer = 17.39%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 32% of 27% of 1,700?
A. 57%
B. 100
C. 146.88
D. 75%
Correct Answer: C
27% of 1,700 = (27 ÷ 100) × 1,700 = 459
32% of that = (32 ÷ 100) × 459 = 146.88
Answer = 146.88
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 12%. By what percentage does its volume increase?
A. 75%
B. 40.49%
C. 57%
D. 100
Correct Answer: B
Volume ∝ side³
Percentage increase = [(1 + 12/100)³ − 1] × 100
= 40.49%
Answer = 40.49%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 17% and its breadth by 27%. By what percentage does its area increase?
A. 57%
B. 48.59%
C. 100
D. 75%
Correct Answer: B
Area ∝ Length × Breadth
Area increase % = 17 + 27 + (17 × 27 ÷ 100)
= 48.59%
Answer = 48.59%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 850, while the actual value is 915. What is the percentage error based on actual value?
A. 27%
B. 7.1%
C. 12 percentage points
D. 17%
Correct Answer: B
Absolute error = 65
Percentage error = (65 ÷ 915) × 100
= 7.1%
Answer = 7.1%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 39% to 56%. What is the relative percentage increase in the rate?
A. 17%
B. 27%
C. 12 percentage points
D. 43.59%
Correct Answer: D
Increase = 17 percentage points
Relative increase = (17 ÷ 39) × 100 = 43.59%
Answer = 43.59%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 34% to 49%. What is the increase in percentage points?
A. 15 percentage points
B. 12 percentage points
C. 17%
D. 27%
Correct Answer: A
Percentage-point increase = 49% − 34% = 15 percentage points
Answer = 15 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 2,400 but the measured value is 2,616. Find the percentage error.
A. 17%
B. 27%
C. 12 percentage points
D. 9%
Correct Answer: D
Absolute error = 216
Percentage error = (216 ÷ 2,400) × 100
= 9%
Answer = 9%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,500 g solution contains 32% acid. How many grams are not acid?
A. 480 g
B. 1,020 g
C. 1,500 g
D. 32%
Correct Answer: B
Non-acid percentage = 100 − 32 = 68%
Non-acid = (68 ÷ 100) × 1,500 = 1,020 g
Answer = 1,020 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,400 g mixture contains 378 g sugar. What percentage of the mixture is sugar?
A. 27%
B. None of these 1
C. 378 g
D. 1,400 g
Correct Answer: A
Sugar % = (378 ÷ 1,400) × 100
= 27%
Answer = 27%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,300 g solution contains 22% salt. How many grams of salt are present?
A. 22%
B. None of these 1
C. 1,300 g
D. 286 g
Correct Answer: D
Salt = (22 ÷ 100) × 1,300 = 286 g
Answer = 286 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,200 g solution contains 17% salt. How many grams of salt are present?
A. None of these 1
B. 1,200 g
C. 17%
D. 204 g
Correct Answer: D
Salt = (17 ÷ 100) × 1,200 = 204 g
Answer = 204 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 6,500 ballots, 12% are invalid. How many valid ballots remain?
A. 5,720
B. 6,500
C. 12%
D. 780
Correct Answer: A
Valid percentage = 100 − 12 = 88%
Valid ballots = (88 ÷ 100) × 6,500 = 5,720
Answer = 5,720
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 1,200 students. If 87% are present, how many are absent?
A. 156
B. 1,044
C. 1,200
D. 13%
Correct Answer: A
Absent percentage = 100 − 87 = 13%
Absent students = (13 ÷ 100) × 1,200 = 156
Answer = 156
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 2,400 people, 67% support a proposal. How many people support it?
A. 2,400
B. 1,608
C. 792
D. 67%
Correct Answer: B
Supporters = (67 ÷ 100) × 2,400 = 1,608
Answer = 1,608
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 62% of valid votes and wins by 13,200 votes. How many valid votes were cast?
A. 60,000
B. 50,000
C. 13,200
D. 55,000
Correct Answer: D
Loser = 38%
Margin percentage = 62% − 38% = 24%
Total votes = 13,200 × 100 ÷ 24 = 55,000
Answer = 55,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 18,500 on a commodity. Its price falls by 37%. By what percentage may consumption increase while expenditure remains unchanged?
A. 58.73%
B. 37%
C. 42%
D. 32%
Correct Answer: A
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 37 ÷ 63 × 100
= 58.73%
Answer = 58.73%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 18,000 on a commodity. Its price falls by 32%. By what percentage may consumption increase while expenditure remains unchanged?
A. 37%
B. 32%
C. 27%
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. 17,500 on a commodity. Its price rises by 27%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 27%
B. 21.26%
C. 22%
D. 32%
Correct Answer: B
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 27 ÷ 127 × 100
= 21.26%
Answer = 21.26%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 17,000 on a commodity. Its price rises by 17%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 14.53%
B. 12%
C. 17%
D. 22%
Correct Answer: A
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 17 ÷ 117 × 100
= 14.53%
Answer = 14.53%