AAO Exam-CT 3: Quant (Percentage)
AAO Exam-CT 3- Quant (Percentage)
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62000
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52000
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59000
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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 10th 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 10th 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.
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32
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40
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58
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None of the above
Given:
16.66% of class 10th 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 10th = 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
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11
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13
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17
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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?
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70
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75
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72
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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?
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27%
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31%
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30%
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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%.
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Rs. 21450
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Rs. 30000
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Rs. 25,000
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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
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55%
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25%
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100%
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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%.
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2350
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2345
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3458
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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
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Rs.20,000
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Rs.16,000
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Rs.25,000
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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
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900
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860
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1700
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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%
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