Percentage : Aptitude Test

16.

In a class 60% of students passed in telugu, 50% 0f students passde in english. Then if every student Passed in either telugu or english or both the subjects. Then what is the percentage of students passed In both the subjects? 

   A.) 10%
   B.) 20%
   C.) 15%
   D.) 12%

Answer: Option 'A'

passed in Telugu = 60 % 
passed in English = 50 % 
only passed in telugu = 50% 
only passed in english = 40% 
the percentage of studebts passed in both the subjects = 10 %

17.

A mixture of 20 litres of milk and water contains 20% of water. The new mixture is formed by adding 5 lit of water. What is the percentage of milk in the new mixture? 

   A.) 36%
   B.) 20%
   C.) 64%
   D.) 46%

Answer: Option 'C'

(20 li = 4 li water 16 li milk 
-------- 5 li water 
Total = 9 li water 16 li milk (new) 
16/25×100=64%

18.

If 40% of a certain number is 120, then what is 90% of that number? 

   A.) 150
   B.) 200
   C.) 240
   D.) 270

Answer: Option 'D'

40% = 40 × 3 = 120 
90% = 90 × 3 = 270

19.

What percent is 70 of 280? 

   A.) 25%
   B.) 50%
   C.) 75%
   D.) None of these

Answer: Option 'A'

70/280 = 1/4 
1/4 × 100 = 25 %

20.

Express 3/4 as rate percent. 

   A.) 80%
   B.) 30%
   C.) 75%
   D.) 25%

Answer: Option 'C'

3/4 × 100 = 300/4 % = 75 %

21.

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

22.

The population of a town increases 10% and 20% respectively in two consecutive years. After the growth the present population of the town is 13200. Then what is the population of the town 2 years ago?

   A.) 10010
   B.) 10001
   C.) 10000
   D.) 10100

Answer: Option 'C'

Formula : 
( After =100 denominator 
Ago = 100 numerator) 
13200 × 100/110 × 100/120 = 10000 

24.

In an election between the two candidates ,The candidates who gets 60% of votes polled is winned by 280 votes majority. What is the total number of votes polled?

   A.) 1500
   B.) 1400
   C.) 1600
   D.) None of these

Answer: Option 'B'

Note : majority (20 %) = difference in votes polled to win (60 %) & defeated candidates (40 %) 
20 % = 60 % - 40 % 
20% -----> 280 (20×14 = 280 )
100% -----> 1400 (100×14 = 1400)

25.

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

26.

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

28.

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%

29.

Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? 

   A.) Rs. 150
   B.) Rs. 300
   C.) Rs. 250
   D.) Rs. 200

Answer: Option 'C'

Let the amount paid to X per week = x
and the amount paid to Y per week = y
Then x + y = 550
But x = 120% of y = 120y/100 = 12y/10 
∴12y/10 + y = 550
⇒ y[12/10 + 1] = 550
⇒ 22y/10 = 550
⇒ 22y = 5500
⇒ y = 5500/22 = 500/2 = Rs.250

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