Percentage : Aptitude Test

1.

What percent is 120 of 90? 

   A.) 132 1/3%
   B.) 132 2/3%
   C.) 133 1/3%
   D.) None of these

Answer: Option 'C'

120/90 = 4/3 
4/3 × 100 = 400/3 = 133 1/3 %

2.

If 20% of a certain number is 80, then what is 30% of that number? 

   A.) 100
   B.) 120
   C.) 140
   D.) 150

Answer: Option 'B'

20% = 20 × 4 = 80 
30% = 30 × 4= 120

3.

The population of a town is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years? 

   A.) 700 votes
   B.) 750 votes
   C.) 600 votes
   D.) 650 votes

Answer: Option 'B'

Formula : 
( After =100 denominator 
Ago = 100 numerator) 
8000 × 80/100 × 80/100 = 5120

4.

If X,Y is 20%,25% greater than Z then how much percentage is X smaller than Y? 

   A.) 5%
   B.) 3%
   C.) 4%
   D.) 6%

Answer: Option 'C'

X = 120% 
Y = 125% 
Z = 100% 
X-Y/Y × 100 = 5/125 × 100 = 4 % smaller than Y

5.

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

   A.) 39, 33
   B.) 41, 33
   C.) 42, 33
   D.) 43, 33

Answer: Option 'C'

Let their marks be (x + 9) and x.
Then, x + 9 = (56/100)(x+9+x)
25(x+9) = 14(2x + 9)
3x = 99
x = 33
So, their marks are 42 and 33.

7.

If the length and breadth of a cuboid are halved and the height is doubled, find the % change in volume.

   A.) 40% increase
   B.) 45% increase
   C.) 50% decrease
   D.) 25% decrease

Answer: Option 'C'

New volume = (1/2) × (b/2) × 2h = (lbh/2)
So, there is 50% decrease.

8.

If X,Y is 20%,30% smaller than Z then how much percentage is Y greater than X? 

   A.) 12%
   B.) 12 1/4%
   C.) 12 1/2%
   D.) 12 3/2%

Answer: Option 'C'

X = 80 % 
Y = 70 % 
Z = 100 % 
X-Y/X × 100 = 10/80 × 100 = 12 1/2 % greater than X

9.

The population of a town was 1,00,000 three years ago. If increased by 2%, 3% and 5% respectively in the last three years, then the present population of town is

   A.) 1,11,111
   B.) 1,10,101
   C.) 1,10,313
   D.) 1,11,125

Answer: Option 'C'

The present population = (102/100) × (103/100) × (105/100) × 100000 = 1,10,313

10.

A mixture of 30 litres of milk and water contains 30% of water. The new mixture is formed by adding 10 lit of water. What is the percentage of water in the new mixture? 

   A.) 45 3/2%
   B.) 47 3/2%
   C.) 47 1/4%
   D.) 47 1/2%

Answer: Option 'D'

(30 li = 9 li water 21 li milk 
------= 10 li water 
Total = 19li water 21 li milk (new) 
19/40 × 100 = 47 1/2%

11.

In a class 60% of students passed in telugu, 50% 0f students passde in english. Then every student Passed in either telugu or english or both the subjects and 120 members of students passed in both the subjects. How many number of students are their in the class? 

   A.) 1000
   B.) 1200
   C.) 1400
   D.) None of these

Answer: Option 'B'

only telugu passed = 50 % 
only english passed = 40 % 
both subjects passed student are 10 %, 
Then, 
10 % ------> 120 
100 % ------> 1200students

12.

Express 2/5 as rate percent: 

   A.) 80%
   B.) 60%
   C.) 40%
   D.) None of these

Answer: Option 'C'

2/5 × 100 % = 200/5 % = 40 %

13.

In an elaction between two candidates, 20% of votes are were declares invalid. First candidate got 480 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was: 

   A.) 450 votes
   B.) 3000 votes
   C.) 3200 votes
   D.) None of these

Answer: Option 'B'

(100%-20%=80% 
48%-32%=16% 
16% = 16×30 = 480 
100% =100×30 =3000 votes)

14.

In a cricket match, Dravid scored a century with 13 boundaries and 3 sixes. What percentage of his runs did he make by running between the wickets?

   A.) 40%
   B.) 50%
   C.) 60%
   D.) 30%

Answer: Option 'D'

Runs scored in boundaries and sixes = (13 × 4) + (3 × 6) = 52 + 18 = 70 Runs
Scored between the wickets = 100 -70 = 30
30% of the runs are scored by running between the wickets.

15.

The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product? 

   A.) 10% more
   B.) 5% more
   C.) 12.5% more
   D.) 17.5% more

Answer: Option 'C'

Quantity X Rate = Price
1 x 1 = 1
0.7 x 1.25 = 0.875
Decrease in price = (0.125/1) × 100 = 12.5%

16.

What percent is 36paisa's of 12 rupees? 

   A.) 3%
   B.) 0.03%
   C.) 0.03%
   D.) None of these

Answer: Option 'A'

12 Rupees = 1200paisa's 
36/1200 × 100 = 3/12 
12/3 = 3 %

17.

In an election, the winning candidate got 58% of the valid votes. If he got 1600 votes more than the other candidate and 100 votes were invalid, find the number of votes cast.

   A.) 13500
   B.) 15150
   C.) 10109
   D.) 10100

Answer: Option 'D'

Let the number of valid votes be x
Winning candidate - 58% of x
Other candidate - 42% of x 
Difference - 16% of x
16% of x = 1600
x = 10000
Total votes = 10000  + 100 = 10100

18.

What percent is 5 gm of 1 kg? 

   A.) 0.05%
   B.) 0.5%
   C.) 0.005%
   D.) None of these

Answer: Option 'B'

1 kg = 1000 gm 
5/1000 × 100 = 500/1000
=1/2 = 0.5 %

19.

A number increased by 20% gives 480. The number is 

   A.) 380
   B.) 420
   C.) 400
   D.) 300

Answer: Option 'C'

Formula = TOTAL=100% ,INCRESE = "+" DECREASE= "-" 
A number means = 100 % 
That same number increased by 20 % = 120 % 
120 % -------> 480 (120 × 4 = 480) 
100 % -------> 400 (100 × 4 = 400)

20.

Ganesh scored 93% in his exams. If he scored 84 marks less than the maximum marks. Find the maximum marks

   A.) 1000
   B.) 1200
   C.) 1400
   D.) 1500

Answer: Option 'B'

He scored 7% less than the maximum marks.
7% of x = 84 x = 1200


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