Questions based on percentage to fraction conversion

If you have to solve 7.14% of 182, Standard method will take at least 30-40 seconds, maybe even more than that.

But if you know that 7.14%=1/14 , the same question will take a couple of seconds..

All you have to do is 182/14=13.

percentage into fraction

You must learn this conversion for rapid calculation

1/2=50%
1/3=33.33%
1/4=25%
1/5=20%
1/6=16.66%
1/7=14.28%
1/8=12.5%
1/9=11.11%
1/10=10%
1/11=9.09%
1/12=8.33%
1/13=7.69%
1/14=7.14%
1/15=6.66%
1/16=6.25%
1/17=5.88%

1/18=5.55%
1/19=5.26%
1/20=5%

Just learn these conversion of percentage into fraction, and youll be all set to learn quick and easy way to solve the questions based on percentage.

Example questions

1} 87.5% of 560

87.5% = 100% - 12.5%
=1-(1/8)= 7/8

So (7/8)*560=490

2} 55.55 % of 1260

55.55% = 5 x 11.11% =5/9

(5/9)*1260 =700

Similarly you can convert the percentage into fraction and then solve it.

3} 43.75%=50%-6.25%=(1/2)-(1/16)

4} 56.25%= 50% + 6.25%=(1/2)+(1/16)

5} 91.66% =75%+ 16.66=(3/4)+(1/6)

6} 25.26% =20% + 5.26%=(1/5)+(1/19)

7}  81.25% = 75% + 6.25%=(3/4)+(1/16)

8} 206.25% = 200%+6.25%=2+(1/16)

9} 91.66% = 75%+6.66%=(3/4)+(1/15)

10}63.63%= 7 x 9.09%=7/11



Practice questions:-

11}43.75 % of 320

12}77.77% of 135

13}44.12 of 510

14}66.66% of 1350

15}8.33 % of 8400

16}22.22% of 540

17}92.31% of 1105

18}133.33% of 2274

19}56.25 % of 6400

20}90.91% of  814

21} 35 % of 240

22}64.28 % of 252

23}5.88% of 238

24}107.69 % of 663

25}66.66% of 4620

26}33.33% of 990

27}94.12% of 731

28}57.69% of 221

29}58.33% of 1440

30}16.66% of 192

31}92.86 % of 350

32}11.11 % of 1620

33}44.74% of 380

34}7.14% of 1036

35}93.75% of 256

36}83.33% of 720

37}44.44 % of 12600

38}83.34% of 510

39}6.25 % of 320

40}27.27% of 506

41}88.89% of 486

42}114.28% of 392

43}88.88% of 3807

44}105.26% of 855

45}14.28% of 616

46}91.67% of 528

47}16.66% of 582

48}42.86% of 448

49} 12.5 % of 960

50}85.72% of 623

51} 16.66% of 396

52}18.18% of 495

53}55.26% of 608

54}94.74% of 760

55}106.25% of 272

56}8.33 % of 840 

57}61.11% of 450

58}87.5% of 680

59}14.28% of 315

60}12.5% of 3600

61}59.09% of 517

62}93.34% of 630

63}44.44% of 126

64}105.88% of 153

65} 33.33% of 456

66}41.67% of 660

67}56.66% of 900

68}38.89% of 720

69}36.36% of 1210

70}109.09% of 451

71}11.11% of 1620

72} 7.69% of 520

73}112.5% of 336

74}54.54% of 363

75}116.66% of  510

76}55.55% of 243

77}5.26% of 342

78}108.33% of 1680

79}62.5% of 400

80}43.34% of 240

81}40.91% of 495

82}88.88% of 3870

83} 106.66% of 180

84}55.88% of 238

85}37.5% of 736

86}42.31% of 728

87}111.11% of 405

88}63.63% of 187

89}57.14% of 1344

90}107.14% of 700

How to find a perfect square?

HOW CAN YOU GET TO KNOW , WHICH NUMBER IS A PERFECT SQUARE?

You'll often find questions like these in the teacher eligibility test examinations.A lot of students puzzle over how to find a perfect square..And it is really easy to check which of the following number is a perfect square.

How to find a perfect square?

what is a perfect square?

any number which can be expressed as product of two integers is known as a perfect square.
e.g 25 can be expressed as 5x5, so it is a perfect square
100=10x10, so 100 is also a perfect square
but 80 can't be expressed like this, so it is not a perfect square. 


 How to check whether a number is a perfect square or not.?

1.All squares end up in 0,1,4,9,6,5

A perfect square never ends up in 2,3,7,8

So something like 15623 is not a perfect square , since it ends in 3...

And you don't have to cram it..Just check the unit digit of squares of numbers 0-9

0x0=0
1x1=1
2x2=4
3x3=9
4x4=6
5x5=5
6x6=6
7x7=9
8x8=4
9x9=1

So as you can see, a perfect square Never ends in 2,3,7,8.This should be the first thing you should check ,while inspecting a number.

2.THE DIGITAL SUM OF A PERFECT SQUARE IS 1,4,7,9

MNEMONIC(1947)

Digital sum is the sum we get after adding all the digits of a number until we get a single digit.

E.g 15626=1+5+6+2+6=2+0=2

Since it's digital sum is 2, it can't be a perfect square for sure..

KEEP IN MIND, THAT IF THE DIGITAL SUM OF A NUMBER IS 1,4,9,7, IT DOESN'T GUARANTEE THAT THE NUMBER IS A PERFECT SQUARE...

BUT IF THE DIGITAL SUM ISN'T 1,4,7,9, THEN THE NUMBERS CANT BE A PERFECT SQUARE FOR SURE..

SO IT IS AN ELIMINATION METHOD...

3.SOME OTHER THINGS TO CHECK

●If a number ends in 1, then tens digit is always even.

E.g 121, 961

●If a number ends in a 9, it's tens digit is always even

E.g 169,529

●If a number is ends in 5, then it's tens digit is always 2..

E.g 625, 5625

●If a number is even, then it's last two digits are divisible by 4

E.g. 64,144,196,8464

So if any of the above rules fail, then the number can't be a perfect square

E.g

34531(it ends in 1, and the ten's place isnt even, so it cant be a perfect square)

139(it ends in 9, and tens digit is odd, so it can't be a perfect square)

4575 (it ends in 5, and the tens digit is other than 2, so it is not a perfect square)

1214 ( it ends in 4, and last two digits are not divisor by 2, so it is not a perfect square)

Using these tricks , you can  eliminate the numbers which are not perfect squares, and get to know the answer..

Question 1:-
Which of the following is a perfect square

A..548543213
B..548543215
C..548543251
D..548543241

◆digital sum of option a is 8, So it can't be a perfect square

◆Option b, ends in 5 and has an odd digit on tens place , so it can't be a perfect square

◆In option c , the number ends in 1 and the tens digit is odd, which is not possible in case of a perfect square

◆So our answer is option D

What the heck is this Number system?

What is Number System and why it is important?