CSS - PMS - CCE - PCS - Mathematics
Percentage
If 35% of a quantity is selected and then 45% of that selected amount is taken, the final amount is what percent of the original?
A. 100
B. 55%
C. 15.75%
D. 75%
Correct Answer: C
Final percentage = (35/100) × (45/100) × 100
= (35 × 45) ÷ 100
= 15.75%
Answer = 15.75%
CSS - PMS - CCE - PCS - Mathematics
Percentage
What is 30% of 25% of 1,500?
A. 55%
B. 100
C. 112.5
D. 75%
Correct Answer: C
25% of 1,500 = (25 ÷ 100) × 1,500 = 375
30% of that = (30 ÷ 100) × 375 = 112.5
Answer = 112.5
CSS - PMS - CCE - PCS - Mathematics
Percentage
Each side of a cube is increased by 10%. By what percentage does its volume increase?
A. 55%
B. 100
C. 33.1%
D. 75%
Correct Answer: C
Volume ∝ side³
Percentage increase = [(1 + 10/100)³ − 1] × 100
= 33.1%
Answer = 33.1%
CSS - PMS - CCE - PCS - Mathematics
Percentage
The length of a rectangle increases by 15% and its breadth by 25%. By what percentage does its area increase?
A. 55%
B. 75%
C. 100
D. 43.75%
Correct Answer: D
Area ∝ Length × Breadth
Area increase % = 15 + 25 + (15 × 25 ÷ 100)
= 43.75%
Answer = 43.75%
CSS - PMS - CCE - PCS - Mathematics
Percentage
An estimated value is 750, while the actual value is 805. What is the percentage error based on actual value?
A. 15%
B. 6.83%
C. 25%
D. 10 percentage points
Correct Answer: B
Absolute error = 55
Percentage error = (55 ÷ 805) × 100
= 6.83%
Answer = 6.83%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate rises from 35% to 50%. What is the relative percentage increase in the rate?
A. 25%
B. 15%
C. 42.86%
D. 10 percentage points
Correct Answer: C
Increase = 15 percentage points
Relative increase = (15 ÷ 35) × 100 = 42.86%
Answer = 42.86%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A rate changes from 30% to 43%. What is the increase in percentage points?
A. 10 percentage points
B. 15%
C. 13 percentage points
D. 25%
Correct Answer: C
Percentage-point increase = 43% − 30% = 13 percentage points
Answer = 13 percentage points
CSS - PMS - CCE - PCS - Mathematics
Percentage
The actual value is 2,000 but the measured value is 2,140. Find the percentage error.
A. 7%
B. 15%
C. 25%
D. 10 percentage points
Correct Answer: A
Absolute error = 140
Percentage error = (140 ÷ 2,000) × 100
= 7%
Answer = 7%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,300 g solution contains 30% acid. How many grams are not acid?
A. 30%
B. 1,300 g
C. 910 g
D. 390 g
Correct Answer: C
Non-acid percentage = 100 − 30 = 70%
Non-acid = (70 ÷ 100) × 1,300 = 910 g
Answer = 910 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,200 g mixture contains 300 g sugar. What percentage of the mixture is sugar?
A. None of these 1
B. 25%
C. 300 g
D. 1,200 g
Correct Answer: B
Sugar % = (300 ÷ 1,200) × 100
= 25%
Answer = 25%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,100 g solution contains 20% salt. How many grams of salt are present?
A. 220 g
B. 20%
C. None of these 1
D. 1,100 g
Correct Answer: A
Salt = (20 ÷ 100) × 1,100 = 220 g
Answer = 220 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
A 1,000 g solution contains 15% salt. How many grams of salt are present?
A. 150 g
B. 1,000 g
C. 15%
D. None of these 1
Correct Answer: A
Salt = (15 ÷ 100) × 1,000 = 150 g
Answer = 150 g
CSS - PMS - CCE - PCS - Mathematics
Percentage
Out of 5,500 ballots, 10% are invalid. How many valid ballots remain?
A. 550
B. 10%
C. 4,950
D. 5,500
Correct Answer: C
Valid percentage = 100 − 10 = 90%
Valid ballots = (90 ÷ 100) × 5,500 = 4,950
Answer = 4,950
CSS - PMS - CCE - PCS - Mathematics
Percentage
A school has 1,000 students. If 85% are present, how many are absent?
A. 15%
B. 150
C. 1,000
D. 850
Correct Answer: B
Absent percentage = 100 − 85 = 15%
Absent students = (15 ÷ 100) × 1,000 = 150
Answer = 150
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a survey of 2,000 people, 65% support a proposal. How many people support it?
A. 65%
B. 1,300
C. 700
D. 2,000
Correct Answer: B
Supporters = (65 ÷ 100) × 2,000 = 1,300
Answer = 1,300
CSS - PMS - CCE - PCS - Mathematics
Percentage
In a two-candidate election, the winner receives 60% of valid votes and wins by 9,000 votes. How many valid votes were cast?
A. 50,000
B. 40,000
C. 45,000
D. 9,000
Correct Answer: C
Loser = 40%
Margin percentage = 60% − 40% = 20%
Total votes = 9,000 × 100 ÷ 20 = 45,000
Answer = 45,000
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 16,500 on a commodity. Its price falls by 35%. By what percentage may consumption increase while expenditure remains unchanged?
A. 53.85%
B. 35%
C. 40%
D. 30%
Correct Answer: A
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 35 ÷ 65 × 100
= 53.85%
Answer = 53.85%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 16,000 on a commodity. Its price falls by 30%. By what percentage may consumption increase while expenditure remains unchanged?
A. 35%
B. 25%
C. 42.86%
D. 30%
Correct Answer: C
Allowed increase % = Decrease% ÷ (100 − Decrease%) × 100
= 30 ÷ 70 × 100
= 42.86%
Answer = 42.86%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 15,500 on a commodity. Its price rises by 25%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. None of these 1
B. 25%
C. 20%
D. 30%
Correct Answer: C
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 25 ÷ 125 × 100
= 20%
Answer = 20%
CSS - PMS - CCE - PCS - Mathematics
Percentage
A household spends Rs. 15,000 on a commodity. Its price rises by 15%. By what percentage must consumption be reduced to keep expenditure unchanged?
A. 10%
B. 20%
C. 15%
D. 13.04%
Correct Answer: D
Required reduction % = Increase% ÷ (100 + Increase%) × 100
= 15 ÷ 115 × 100
= 13.04%
Answer = 13.04%