CSS - PMS - CCE - PCS - Mathematics
Percentage
If 36% of a quantity is selected and then 46% of that selected amount is taken, the final amount is what percent of the original?
A. 16.56%
B. 75%
C. 100
D. 56%
Correct Answer: A
Final percentage = (36/100) × (46/100) × 100
= (36 × 46) ÷ 100
= 16.56%
Answer = 16.56%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 31% of 26% of 1,600?
A. 75%
B. 56%
C. 128.96
D. 100
Correct Answer: C
26% of 1,600 = (26 ÷ 100) × 1,600 = 416
31% of that = (31 ÷ 100) × 416 = 128.96
Answer = 128.96
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 11%. By what percentage does its volume increase?
A. 56%
B. 75%
C. 100
D. 36.76%
Correct Answer: D
Volume ∝ side³
Percentage increase = [(1 + 11/100)³ − 1] × 100
= 36.76%
Answer = 36.76%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 16% and its breadth by 26%. By what percentage does its area increase?
A. 46.16%
B. 100
C. 56%
D. 75%
Correct Answer: A
Area ∝ Length × Breadth
Area increase % = 16 + 26 + (16 × 26 ÷ 100)
= 46.16%
Answer = 46.16%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 800, while the actual value is 860. What is the percentage error based on actual value?
A. 26%
B. 6.98%
C. 16%
D. 11 percentage points
Correct Answer: B
Absolute error = 60
Percentage error = (60 ÷ 860) × 100
= 6.98%
Answer = 6.98%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 37% to 53%. What is the relative percentage increase in the rate?
A. 16%
B. 26%
C. 43.24%
D. 11 percentage points
Correct Answer: C
Increase = 16 percentage points
Relative increase = (16 ÷ 37) × 100 = 43.24%
Answer = 43.24%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 32% to 46%. What is the increase in percentage points?
A. 16%
B. 11 percentage points
C. 14 percentage points
D. 26%
Correct Answer: C
Percentage-point increase = 46% − 32% = 14 percentage points
Answer = 14 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 2,200 but the measured value is 2,376. Find the percentage error.
A. 26%
B. 11 percentage points
C. 8%
D. 16%
Correct Answer: C
Absolute error = 176
Percentage error = (176 ÷ 2,200) × 100
= 8%
Answer = 8%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,400 g solution contains 31% acid. How many grams are not acid?
A. 966 g
B. 1,400 g
C. 31%
D. 434 g
Correct Answer: A
Non-acid percentage = 100 − 31 = 69%
Non-acid = (69 ÷ 100) × 1,400 = 966 g
Answer = 966 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,300 g mixture contains 338 g sugar. What percentage of the mixture is sugar?
A. 338 g
B. 1,300 g
C. 26%
D. None of these 1
Correct Answer: C
Sugar % = (338 ÷ 1,300) × 100
= 26%
Answer = 26%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,200 g solution contains 21% salt. How many grams of salt are present?
A. 1,200 g
B. 21%
C. None of these 1
D. 252 g
Correct Answer: D
Salt = (21 ÷ 100) × 1,200 = 252 g
Answer = 252 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,100 g solution contains 16% salt. How many grams of salt are present?
A. 16%
B. 176 g
C. 1,100 g
D. None of these 1
Correct Answer: B
Salt = (16 ÷ 100) × 1,100 = 176 g
Answer = 176 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 6,000 ballots, 11% are invalid. How many valid ballots remain?
A. 6,000
B. 11%
C. 5,340
D. 660
Correct Answer: C
Valid percentage = 100 − 11 = 89%
Valid ballots = (89 ÷ 100) × 6,000 = 5,340
Answer = 5,340
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 1,100 students. If 86% are present, how many are absent?
A. 14%
B. 154
C. 1,100
D. 946
Correct Answer: B
Absent percentage = 100 − 86 = 14%
Absent students = (14 ÷ 100) × 1,100 = 154
Answer = 154
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 2,200 people, 66% support a proposal. How many people support it?
A. 1,452
B. 2,200
C. 748
D. 66%
Correct Answer: A
Supporters = (66 ÷ 100) × 2,200 = 1,452
Answer = 1,452
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 61% of valid votes and wins by 11,000 votes. How many valid votes were cast?
A. 55,000
B. 45,000
C. 11,000
D. 50,000
Correct Answer: D
Loser = 39%
Margin percentage = 61% − 39% = 22%
Total votes = 11,000 × 100 ÷ 22 = 50,000
Answer = 50,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 17,500 on a commodity. Its price falls by 36%. By what percentage may consumption increase while expenditure remains unchanged?
A. 31%
B. 36%
C. 56.25%
D. 41%
Correct Answer: C
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 36 ÷ 64 × 100
= 56.25%
Answer = 56.25%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 17,000 on a commodity. Its price falls by 31%. By what percentage may consumption increase while expenditure remains unchanged?
A. 31%
B. 26%
C. 44.93%
D. 36%
Correct Answer: C
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 31 ÷ 69 × 100
= 44.93%
Answer = 44.93%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 16,500 on a commodity. Its price rises by 26%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 26%
B. 21%
C. 20.63%
D. 31%
Correct Answer: C
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 26 ÷ 126 × 100
= 20.63%
Answer = 20.63%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 16,000 on a commodity. Its price rises by 16%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 11%
B. 16%
C. 13.79%
D. 21%
Correct Answer: C
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 16 ÷ 116 × 100
= 13.79%
Answer = 13.79%