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Aptitude Percentage Test Yourself

2753.Johns salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss?
35%
25%
32%
28%
Explanation:

Let Johns initial salary = Rs.100

After decreasing by 50%, Johns salary = Rs. 50 [because it will become half]

After subsequently increasing by 50%, Johns salary

=50×$\dfrac{100+50}{100}$=50×$\dfrac{150}{100}$= Rs.$75$

Loss = $100-75=$ Rs.$25$

Loss percent =$\dfrac{25}{100}$×100=25%

2754.Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
57%
60%
65%
90%
Explanation:

Total number of votes polled = (1136 + 7636 + 11628) = 20400.

$\therefore$ Required percentage =$ \left(\dfrac{11628}{20400} \times 100\right) $% = 57%.

2755.In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was:
2700
2900
3000
3100
Explanation:

Number of valid votes = 80% of 7500 = 6000.

$\therefore$ Valid votes polled by other candidate = 45% of 6000

=$ \left(\dfrac{45}{100} \times 6000\right) $= 2700.

2756.A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
45%
45$ \dfrac{5}{11} $%
54$ \dfrac{6}{11} $%
55%
Explanation:

Number of runs made by running = 110 - $\left(3 \times 4 + 8 \times 6\right)$

= 110 - (60)

= 50.

$\therefore$ Required percentage =$ \left(\dfrac{50}{110} \times 100\right) $% = 45$ \dfrac{5}{11} $%

2757.On my sisters 15th birthday, her height was 159 cm, having grown 6% since the year before. How tall was she in the previous year?
150 cm
140 cm
142 cm
154 cm
Explanation:

height in the previous year

$=\dfrac{159 \times 100}{106}$=150 cm

2762.Rajeev buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
Rs. 6876.10
Rs. 6999.20
Rs. 6654
Rs. 7000
Explanation:

Rebate = 6% of Rs. 6650 = Rs.$ \left(\dfrac{6}{100} \times 6650\right) $= Rs. 399.

Sales tax = 10% of Rs. (6650 - 399) = Rs.$ \left(\dfrac{10}{100} \times 6251\right) $= Rs. 625.10

$\therefore$ Final amount = Rs. (6251 + 625.10) = Rs. 6876.10

2776.In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is $ \dfrac{2}{3} $ of the number of students of 8 years of age which is 48. What is the total number of students in the school?
72
80
120
100
Explanation:

Let the number of students be $ x $. Then,

Number of students above 8 years of age = (100 - 20)% of $ x $ = 80% of $ x $.

$\therefore$ 80% of $ x $ = 48 +$ \dfrac{2}{3} $of 48

$\Rightarrow \dfrac{80}{100} x $ = 80

$\Rightarrow x $ = 100.

44354.A book consist of 45 pages, 30 lines on each page and 60 character on each line.If this content is written in another note book
consisting of 40 lines and 32 character oer line then the required no of pages will be how much percentage more than the
previous no of pages ?
E)None of these
20%
30%
40%
50%
Explanation:

45×30×60 = X×40×32

Page =X = $\dfrac{45 \times 30 \times 60}{40 \times 32}$ = 63.28 = 63

63 – 45 = 18

(18/45)×100 = 40%
44355.One type of liquid contains 20% water and the second type of liquid contains 35% water.A glass filled with 8 parts of the first
liquid and 5 parts of the second liquid.The water percentage in the new mixture is
E)None of these
25.75
25.76
25.67
25.56
Explanation:

$\dfrac{(20×8)+(35×5)}{(8+5)} = \dfrac{335}{13}$ = 25.76%
44360.The price of rice is increased by 15%. The percentage of reduction that a family should effect in that use of rice, so as not to increase
the expenditure is
13%
10%
15%
17%
Explanation:

Explanation :
Formula : x*100/x+100
Reduction % = $\dfrac{15 \times 100}{100+15} = \dfrac{1500}{115}$ = 13%
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