# Percentages ( 11 to 15 )

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Percentages ( 11 to 15 ):

# APTITUDE QUESTIONS (PERCENTAGES):

11. If 35% of a number is 175, then what percent of 175 is that number?

A)    35%

B)    65%

C)    280(5/7)%

D)    120%

E)    None of these

Explanation:

Let the number be x
Then, 35% of x = 175  (35/100*x)=175  x = ((175*100)/35)=500
Now let y% of 175 = 500
Then, (y/100*175)=500  y = ((500*100)/175)= 2000/7= 280(5/7)%

12. The number which exceeds 16% of it by 42 is:

A)    50

B)    52

C)    58

D)    60

E)    None of these

Explanation:

Let the number be x. Then, x -16% of x = 42
 x – 16/100 x=42  x – (4/25) x=42  (21/25) x=42  x = (42*25)/21=50

13. A number, when 45 is subtracted from it, reduces to its 80 percent. What is four-fifth of that number?

A)    70

B)    90

C)    140

D)    180

E)    None of these

Explanation:

Let the number be x
Then, x – 45 = (80/100) x  x – (80/100) x=45  x = (45*100)/20=225  (4/5)x =180

14. The sum of two numbers is 1490. If 5.5% of one number is equal to 7.5% of the other, then the numbers are:

A)    989, 1501

B)    1011, 1479

C)    1401, 1089

D)    855, 627

E)    None of these

Explanation:

Let the numbers be x and y. Then, 5.5% of x = 7.5% of y  x = (75/55) y= (15/11) y
Now, x + y = 1482 => (15/11) y+y=1482 => (26/11) y=1482 => y = (1482*11)/26=627
∴ One number => y = 627, other number = (15/11) y= 15/11*627=855

15. The difference of the two numbers is 20% of the larger number. What will be the larger number if the smaller number is 20?

A)    25

B)    45

C)    50

D)    80

E)    None of these

Explanation:

Let the larger number be x
Then, x – 20 = (20/100) x  x- (1/5) x = 20  (4/5) x=20  x = (20 * 5/4) = 25