PERCENTAGE %

 A percentage  we know that percent means per hundred (100). The percent is denoted by sign, “%”, or the abbreviation “pc” is also used to represent percentage .So a fraction with its denominator 100 is equal to that percent as is the numerator.
Thus 15/100 =15%

 

Results

#1. If y is 90% of x then what percentage of y is x ?

If y is 90% of x then what percentage of y is x ?

y * 90 / 100 = x

y=100x / 90

x=100 /90

y is 111.1 % of x

#2. 8% of 36 is 72% of what number ?

8% of 36 is 72% of what number ?

36 * 8/100= x * 72/100 (100/100 cancel)

36*8 =72x

x=36 * 8/72

x = 4

#3. What is the certain number if 18 is 15% and 30% ?

What is the certain number if 18 is 15% and 30% ?

x* 30/100*15/100 =18

9x/200*18

9x= 3600

x=3600/9

x=400

#4. If 15% of 40 is greater than 25% of a number by 2 ,then the number is ?

If 15% of 40 is greater than 25% of a number by 2 ,then the number is ?

40 * 15/100 = x * 25/100 =2

2*3=x/4=2

6-x/4=2

24 – x/4=2

24-x=2*4

24-X=8

-x=8-24

x=16

 

#5. Subtracting 40% of a number from the number, we get the result as 30. The number is?

Subtracting 40% of a number from the number, we get the result as 30. The number is?

x-(x*40/100)=30

x-(40x/100)=30

100x-40x=30

60x=3000

x=3000/60

x=50

#6. If a number is 20% more than 50 find the number?

If a number is 20% more than 50 find the number?

50* 20/100

20% 0f 50 more than 10

50 10=60

#7. Adding 24 in a number is equal to adding 20 percent to the same number find 120 percent of the number?

Adding 24 in a number is equal to adding 20 percent to the same number find 120 percent of the number?

(24/20)*120

144

#8. x% of y ,y% of x is equal to ?

x% of y ,y% of x is equal to ?

y *x/100 x*y/100

xy/100 xy/100

2xy/100

xy =20%

 

#9. find the number whose 8⅓ is 2 ?

find the number whose 8⅓ is 2 ?

25/3% *x =2

x = 25/300*2

x=4

#10. If 12 is 50 % of number Find out number is ?

If 12 is 50 % of number Find out number is ?

Let the number is =x

in question 50% of x =12

50/100*x=12

x=(12*100)/50

x= 1200/50

x=24

#11. If 20% less than Rs. 200 Find the value is ?

If 12 is 50 % of number Find out number is ?

20% of 200 is

(20/100) *200

40

there the 20% less than 200-40= 160 Rs.

#12. X obtained 350 marks out of 600, What percentage marks did get

X obtained 350 marks out of 600, What percentage marks did get

total marks = 600

x marks = 350

percentage = (350/600)*100

x = 58%

#13. Out of an income 20,000, spends Rs. 15000. What is percentage of income

Out of an income 20,000, spends Rs. 15000. What is percentage of income

total income =20,000 Rs.

spends = 15000 Rs.

20000-15000

saving=5000

percentage =(5000/15000)*100

=33.3 %

#14. Ram saves 30% of his income if he saves as 600 per month . find his monthly income?

Ram saves 30% of his income if he saves as 600 per month . find his monthly income?

Ram monthly income = x

monthly saving= 600 Rs.

30% of x =Rs. 600

(30/100)*x=600

x=60000/30

x= 2000

#15. Express the 120 number as the ratio ?

Express the 120 number as the ratio ?

120 / 100

= 6 : 5

#16. In examination 84% of the student passed and 40 failed how many appeared ?

In examination 84% of the student passed and 40 failed how many appeared ?

Total number of student x

Number of student failed = 40

Total number of student passed = 84%

84% of x = x – 40

( 84 / 100 ) x = x – 4000

84 x = 100 x – 4000

84 x – 100 x = – 4000

– 16 x = – 4000

x =  4000 / 16

x = 250

#17. Find 8 % of Rs 8472 ?

Find 8 % of Rs 8472 ?

(8 / 100 ) * 8472

= 677.76

#18. 5 is 25% of which number?

5 is 25% of which number?

The required number is  x

so that 25% of x = 5

(25/100)x = 5

25x = 5 * 100

25x = 500

x =500/25

x = 20

 

#19. A= 30 marks out of 50 , B = 15 marks out of 20 . Find the percentage and which is greater ?

A= 30 marks out of 50 , B = 15 marks out of 20 . Find the percentage and which is greater ?

1) A

30 marks out of 50 is = (30/50)*100

60%

2) B

15 marks out of 20 is  =(15/20)*100

75%

B is greater

A < B

#20. A has 20 web pages to write, He had completed 25% of his work. How many web pages were left?

A has 20 web pages to write, He had completed 25% of his work. How many web pages were left?

Total number of web page A had to write = 20

Number of A completed =25%of 20

=(25/100)*20

=5

20-5=15 web pages were left to write

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