AAO ExamCT 3: Quant (Percentage)
AAO ExamCT 3 Quant (Percentage)

62000

52000

59000

65000
Given:
Percentage of candidates voted for candidate A = 30%
Percentage of the candidates voted for candidate B = 60% of the remaining
Difference between those who voted for candidate A and those who didn't vote = 1200
Calculation:
Let the number of persons eligible to vote be x.
Then, voters who voted for A = 30% of x.
Voters who voted for B = 60% of (70% of x).
⇒ of x
⇒ 42% of x.
Voters who did not vote = [100 – (30 + 42)]% of x = 28% of x
⇒ 30% of x – 28% of x = 1200
⇒ 2% of x= 1200
⇒ x = 60000
∴ The total number of voters are 60000
2. Students of class 10^{th} are divided into three sections A, B, And C. The difference between the number of students in sections A and C is 40. If 16.66% of class 10^{th} students are in section A and 60% of the remaining students are in section B, then Find 40% of the total number of students in section B.

32

40

58

None of the above
Given:
16.66% of class 10^{th }students are in section A.
60% of the remaining students are in section B.
The difference between students in sections A and C is 40.
Calculation:
Let's assume the total number of students in class 10^{th} = 6x.
Then students in section A = 1/6 × 6x
⇒ x
Remaining students = 6x  x
⇒ 5x
And students in section B = 3/5 × 5x
⇒ 3x
Students in section C = 6x  4x
⇒ 2x
Now
⇒ 2x  x = 40
⇒ x = 40
Students in section B = 40 × 3 = 120
Now 40/100 × 120
⇒ 48

11

13

17

5
Given:
The price is reduced by 20% and the sale goes up by 80%
Formula used:
% increment = (new value  old value)/old value × 100
Calculation:
Let the price be Rs x per iphone and the no of units sold be y
∴ Sale = Rs x × y
Price of iphone after reduction = x  20% of x
⇒ x  20/100 × x
⇒ Rs 4x/5
Number of iphones sold after reduction in price = y + 80% of y
⇒ y + 80/100 × y
⇒ 9y/5
∴ Net sale after reduction = Rs (4x/5 × 9y/5)
⇒ Rs 36xy/25
⇒ % increment = (36xy/25  xy)/xy × 100
⇒ 11/25 × 100
⇒ 44%
∴ The value of m+5 = 44+5
⇒ m+5 = 49
∴The square root of m+5 is 7
4. In a committee, 60 people speak English, 30 people speak Hindi and 11 people speak both Hindi and English. Then, how many people speak at least one of these two languages?

70

75

72

85
5. Suresh opened his factory in 2003.The production of his factory increases for two consecutive years consistently by 12% and in the third year it decreases by 8%. Again in the next two years it increases by 12% each year and decreases by 8% in the third year. What will be the effect on the production of the Company in 2007?

27%

31%

30%

35%
Given
Increase in production for two consecutive years consistently = 12%
Decrease in production for third year = 8%
Formula used
Percentage = (Value/ total value) × 100
Calculation
Suppose the production of the company in the year 2003 is = x.
Then production of the company in year 2007
⇒ x × 112/100 × 112/100 × 92/100 × 112/100
⇒ 1.29 x
Increase percentage in the production of factory in 2007
⇒ (1.29x – x)/x × 100
⇒ 29% ∴ The production of the Company in 2007 is increased by 29%.

Rs. 21450

Rs. 30000

Rs. 25,000

None of these
Given
Himanshu donation to fund = Rs. 4250
Formula Used
Percentage = (Actual/Total) × 100
Calculation
Let the Himanshu's income per month be x
Himanshu donated = 85% of 25% of x
⇒ 85/100 × 25/100 × x = 4250
⇒ x = 4250 × 100 × 4/85
x = Rs. 20,000
∴ The Himanshu's income per month is Rs. 20,000

55%

25%

100%

12.5%
Given:
Previous income of Aman = Rs. 30,000 per month
His previous expenditure = Rs. 20,000 per month
His income increases by Rs. 10,000 per month
His new expenditure = Rs. 25,000 per month
Formula used:
Savings = Income  Expenditure
And Percentage = (Favourable value/Base value) × 100
Calculation:
Previous savings of Aman = His previous income – His previous expenditure
⇒ Rs. 30,000 – Rs. 20,000
⇒ Rs. 10,000
His new income = Rs. 30,000 + Rs. 10,000
And His new savings = His new income – His new expenditure
⇒ Rs. 40,000 – Rs. 25,000
⇒ Rs. 15,000
Increase in savings = Rs. 15,000 – Rs. 10,000 = Rs. 5,000
Now, percentage increase in savings = (Increase in savings/Previous savings) × 100
⇒ (Rs. 5,000/Rs. 10,000) × 100
⇒ (1/2) × 100
⇒ 50%
∴ In next month, the savings of Aman increases by 50%.

2350

2345

3458

1890
Given:
Number of workers in 2014 = 1750
Increase% per year = 20%
Percentage of people discharged in 2018 = 25%
Calculation:
Total number of workers in company in the year 2014 = 1750
Total population of the company in the year 2017 = 1750 × (120/100)^{3}
⇒ 3024
Total number of employees in the year 2018 = 3024 × (75/100) = 2268
∴ The total number of employees at present is 2268

Rs.20,000

Rs.16,000

Rs.25,000

None of these
Let the amount which Rajveer distributed be x
∴ Amount received by Vivek = (40/100) × 100x = 40x
Remaining amount = 100x – 40x = 60x
Remaining amount is distributed between Vijay and Ramesh in the ratio 5 ∶ 4
⇒ Amount received by Vijay = (5/9) × 60x = 100x/3
Amount received by Ramesh = (4/9) × 60x = 80x/3
The difference between the amount received by Vivek and Ramesh is Rs.2000
∴ 40x – 80x/3 = 2000
⇒ 40x = 6000
⇒ x = 150
∴ Amount distributed by Rajveer = 150 × 100 = Rs.15000

900

860

1700

560
Given:
Two numbers is in the ratio 8 ∶ 9
If 12.5% of the first number and 11.11% of the second number is added the result will be 2/17 times the sum of both the numbers.
Calculation:
∴ Let the number be 8x and 9x respectively
According to question,
⇒ 12.5% of 8x + 11.11% of 9x = 200
⇒ 8x/8 + 9x/9 = 200 (∵ 12.5% = 1/8, 11.11% = 1/9)
⇒ 2x = 200
⇒ x = 100
∴ Sum of the two numbers = 8 × 100 + 9 × 100 = 1700
30% of the sum of both the numbers
⇒ (30/100) × 1700 = 510
∴ 30% of the sum of both the numbers is 510.
Additional Information
1/8 = 12.5%
1/9 = 11.11%
What's Your Reaction?