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Short Cut Methods in Quantitative Aptitude-Aptitude Tricks

Nov 12, 2014

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Page 1: Short Cut Methods in Quantitative Aptitude-Aptitude Tricks

12/16/12 Short cut methods in quantitativ e aptitude-aptitude tricks

1/23aptitude9.com/short-cut-methods-quantitativ e-aptitude/

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You are here: Home / Blog / Short cut methods in quantitative aptitude

Short cut methods in quantitative aptitude

Short cut methods in quantitative aptitude

Todays all competitive exams are having the topics of quantitative aptitude and reasoning.If you know the solving

method for particular problem in seconds,then you can said to be good in aptitude.In aptitude for every problem

or question we have short cut methods.

why aptitude

Why and where to apply short cut methods

in bank exams like IBPS

Written test for MNC job

Gmail खाता

google.com

�नःश�ुक Google ईमले! अपना खाता आज खोल�

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CAT,MAT,GRE,GATE ,railways exams,lic,all national level exams

formula or trick ?

we are not going to solve the problems in formula,hate formulas,try to solve in logical methods,which are not

related to any formula.So we are giving you suggestion that,apply tricks,which improves your logical thinking and

attitude

Where i have to learn these tricks to solve quantitative aptitude problems?

These methods/tricks will not available in any books or any other websites,no any website providing the short

cut tricks to solve the problems in less time.In this site you can learn aptitude short cut methods

IBPS EXAM SPECIAL

Learn short cut methods in aptitude to get your dream job,so for every day,apply new methods to solve the

problems by using our short cut methods.Start from here,the lessons for aptitude tricks from all topics.Today we

are explaining you,short cut methods in percentage topic ,which related to aptitude.

LESSON 1 -SHORT CUT METHODS/TRICKS IN PERCENTAGES

CONCEPT:

Important Points to Note:

1. When any value increases by1. 10%, it becomes 1.1 times of itself. (since 100+10 = 110% = 1.1)

2. 20%, it becomes 1.2 times of itself.3. 36%, it becomes 1.36 times of itself.

4. 4%, it becomes 1.04 times of itself.

Thus we can see the effects on the values due to various percentage increases.

2. When any value decreases by1. 10%, it becomes 0.9 times of itself. (Since 100-10 = 90% = 0.9)

2. 20%, it becomes 0.8 times of itself3. 36%, it becomes 0.64 times of itself

4. 4%, it becomes 0.96 times of itself.

Thus we can see the effects on a value due to various percentage decreases.

Note:

1. When a value is multiplied by a decimal more than 1 it will be increased and when multiplied by less than 1 itwill be decreased.

2. The percentage increase or decrease depends on the decimal multiplied.

Eg: 0.7 => 30% decrease, 0.67 => 33% decrease, 0. 956 => 4.4% decrease and so on.

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Eg: When the actual value is x, find the value when it is 30% decreased.

Soln: 30% decrease => 0.7 x.

Eg: A value after an increase of 20% became 600. What is the value?

Soln: 1.2x = 600 (since 20% increase)

ð x = 500.

Eg: If 600 is decrease by 20%, what is the new value?

Soln: new value = 0.8 X 600 = 480. (Since 20% decrease)

Thus depending on the decimal we can decide the % change and vice versa.

Eg: When a value is increased by 20%, by what percent should it be reduced to get the actual value?

Soln: (It is equivalent to 1.2 reduced to 1 and we can use % decrease formula)

% decrease = (1.2 – 1)/1.2 X 100 = 16.66%.

3. When a value is subjected multiple changes, the overall effect of all the changes can be obtained bymultiplying all the individual factors of the changes.

Eg: The population of a town increased by 10%, 20% and then decreased by 30%. The new population is what

% of the original?

Soln: The overall effect = 1.1 X 1.2 X 0.7 (Since 10%, 20% increase and 30% decrease)

= 0.924 = 92.4%.

Eg: Two successive discounts of 10% and 20% are equal to a single discount of ___

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Soln: Discount is same as decrease of price.

So, decrease = 0.9 X 0.8 = 0.72 => 28% decrease (Since only 72% is remaining).

practice problems:

1. If 20% of 40% of a = 25% of a% of b, then what is b?

a. 8/5 b. 16/25 c. 8/25 d. None

2. By what % is 200 more than 50?

a. 100 b. 200 c. 300 d. None

3. A value changes from 30 to 80. What is the percentage change?

a. 125 b. 166.66 c. 156 d. None

4. The population of a city is increased by 30% and thus became 78000. What is the original population?

a. 76000 b. 64200 c. 60000 d. None

5. In a theatre, the number of seats is increased by 20% and the price per ticket is increased by 10% but the

public response decreased by 30%. What is the net effect on the economy of the theatre?

a.10% rise b. 7% fall c. 7% rise d. None

6. A saves 20% of his income. His income is increased by 20% and so he increased his expenditure by 30%.

What is the percentage change in his savings?

a. 20% fall b. 4% fall c. 20% rise d. 4% rise

7. The price of petrol is increased by 25%. By what percent the consumption be reduced to make theexpenditure remain the same?

a. 25% b. 33.33% c. 20% d. None

8. The side of a square is increased by 20%. The percentage change in its area is ___

a. 20% b. 44% c. 36% d. None

9. If the length of a rectangle is increased by 33.33%, by what percentage should the breadth be reduced tomake the area same?

a. 20% b. 33.33% c. 25% d. None

10. In an election between two candidates, A and B, A secured 56% of the votes and won by 48000 votes.

Find the total number of votes polled if 20% of the votes were declared invalid.

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a. 500000 b. 400000 c. 600000 d. None

clear explanation for above problems:

1. 1/5 X 2/5 X a = ¼ X a X b => b = 8/25

2. % difference = (200-50)/50 X 100 = 300 %

3. % increase = (80-30)/30 X 100 = 166.66 %4. 1.3 x = 78000 => x = 60000.

5. Net effect = 1.2 X 1.1 X 0.7

= 0.924 => 7.6% decrease.

6. Let I be the income.

Expenditure = 0.8I Savings = 0.2I => 20%

New income = 1.2I (since 20% rise)

New expenditure = (0.8I) X 1.3 (Since 30% rise)

= 1.04I

So, new savings = 1.2I – 1.04I = 0.16I => 16%

(So income decreased form 20% to 16%)

% decrease = (20-16)/20 X 100 = 20%.

7. It is equivalent to 1.25 decreased to 1.

% decrease = (1.25-1)/1.25 X 100 = 20%

8. % change in area = 1.2 X 1.2 (since area = side X side)

= 1.44 => 44%.

9. It is equivalent to 1.25 decreased to 1. So 20% decrease.

10. Valid Votes:

A got 56% => B got 44%

Difference = 12% = 48000

So, 100% = 400000. These are valid votes.

But valid votes are only 80% of total votes.

So, 80% of total votes = 400000 => total votes = 500000

STILL CONFUSE?SUBMIT YOUE QUIRY IN LEAVE REPLY/SUBMIT COMMENT

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Comments

1. shelly :September 26, 2011 at 3:22 pm

thanx

ts a gr8 help

Reply

phani :August 5, 2012 at 4:06 pm

hey these are the very good logics but i am unable to capture the data in the question could you

please help me out with this

Reply

2. BOGBOSSKHAN :

October 30, 2011 at 8:27 am

VERRY GOOD

Reply

3. BIGBOSSKHAN :

October 30, 2011 at 8:28 am

TOO COOL

Reply4. hari prasad :

November 3, 2011 at 9:48 am

thanks

Reply

5. Saakshi :

November 7, 2011 at 9:24 am

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Dear Sir,

Could you please explain me 9th Question in details?

Thanks in Advance

Reply

LOL :

September 22, 2012 at 10:27 am

ROFLOL

Reply

6. Hotdonster :

November 9, 2011 at 6:45 am

how abt the short cuts for train sums,,

Reply

7. Sheetal :

November 12, 2011 at 4:51 pm

It’s really good but i don’t understand 9 question?????

Replyalexreborn :

August 20, 2012 at 8:27 am

same as ques 7

Reply

8. bhawna :November 14, 2011 at 1:09 pm

gud one…….

Reply

9. shruti mathur :

November 15, 2011 at 1:32 pm

its super cool thnks

Reply

10. Syed :

November 17, 2011 at 6:23 pm

Thanks and we will provide all short cut methods for free in the form of video tutorials,which will introduce

shortly in this website

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Reply11. KESHVI :

November 18, 2011 at 10:26 am

HEY CAN PLZ…TELL ME SHORT CUTS OF LCM,HCM………….REPLY MUST AS SOON

AS POSSIBLE

Reply12. Surendranath :

November 19, 2011 at 2:46 pm

u r providing beautiful tips in a very simpler manner thank u so much i have a small doubt

1) in decrease of percentage we use higher no in denominator

2)in increase of percentage we use smaller no

plz clarify

Reply

utkarsh gupta :

September 11, 2012 at 1:42 pm

yeah…

just look it by the method of fractions…

for increment just increase the whole value by using -1 no, in denominator.

n for decrement use the other one like +1 to denominator.but for dat.. u first convert d percentage to the fractional form..

Reply

13. Sumit rawat :

November 19, 2011 at 5:58 pm

Q.Sum of 5 consecutive odd numbers is 175.what is the second highest number.?Ans.175/5 = 35

35 is mid value

So 35 has two consecutives upper values 37 & 39 and two lower values are 33 & 31.

Series is 31,33,35,37,39

So the Ans is 37

Reply

vinod :November 24, 2011 at 6:38 pm

thank u sumit…

Reply

vijaya :

January 12, 2012 at 3:42 pm

thank you.

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it’s very useful for me.

Reply

14. Rahul rawat :

November 19, 2011 at 6:00 pm

Q.Sum of 5 consecutive odd numbers is 175.what is the second highest number.?

Ans.175/5 = 3535 is mid value

So 35 has two consecutives upper values 37 & 39 and two lower values are 33 & 31.

Series is 31,33,35,37,39

So the Ans is 37

Reply

15. KALYANI :

November 21, 2011 at 1:39 pm

ITS SO NICE.I REALLY THANKS TO GIVE TRICKS BUT PLEASE GIVE TRICKS FOR

OTHER TOPICS.

THANK YOU ONCE AGAIN

Reply

16. kamal :November 22, 2011 at 11:48 am

i dont understand 10 ques.how 400000 will occured?

Reply

17. Reena :

November 23, 2011 at 11:31 am

I Have some problem in question no.10 If 20% votes are invalid so we should minus from 100 and then

substract 56% then we will get 24%..and After that we get 20000 total votes.

Reply

18. vinod :

November 24, 2011 at 6:36 pm

hidid u got any shortcuts on percentages..

if so pls tel me

Reply

19. nalini :

November 26, 2011 at 6:14 am

i have doubt that is how to calculate 8% of 800*?=2244/7*2/3*?=1008

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5.5*6.4/0.4=?.

Reply

20. Shimrei :

November 30, 2011 at 9:30 am

Hey thanks so much. so helpful. but kindly help me out with Qs 9 and 10. thank you once again

Reply

21. Renu :

November 30, 2011 at 9:55 am

sir

plz post shortcut methods for work related problems.

Reply22. shalu :

December 3, 2011 at 7:58 am

Thanku. very nice.but i need some more logical reasoning test for pratice

Reply

kamlesh kumar :

August 23, 2012 at 6:20 pm

Have you tricks for Compound intrest ,please replay me.

Reply

23. Geeta chopra :

December 7, 2011 at 5:34 pm

Thank you

its simply awesome

my exam is on 11 dec

now i will clear tthis topic

Reply24. AMIT KANOJIA MA'DY :

December 9, 2011 at 6:48 pm

first of all i would ilke to thanks ….

fr d the outstanding sortcut methods

nw my concept of this chapter is clear.

thanks a lot.

Reply

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25. rohit :

December 10, 2011 at 2:53 am

i like the why to solve question but this is only one topic if somebody have anouther topic short cut so plz

send me on my id [email protected]

Reply

26. anandakumaran :December 13, 2011 at 8:17 am

how to answer synonymsand antonyms by shortcut metbod?

Reply

27. SOMNATH :

December 16, 2011 at 6:16 pm

gud trick

Thank u

Reply

28. jayamani :

December 20, 2011 at 11:31 am

i realy confused……………..

Reply

29. lavanya :

December 22, 2011 at 9:55 am

thanks…its useful ……but i m confused with 5 th answers solution

Reply

30. praveen kumar :

December 23, 2011 at 2:25 am

it’s really fantastic one.but by explaining vth videos is normally a better choice

Reply

Syed :December 25, 2011 at 5:54 am

Very Valuable Suggestion,We also have planned to release videos on aptitude and reasoning short

cuts and concepts.Hope will release soon

Always video tutorials reach nicely

Reply

Jane :July 18, 2012 at 4:50 pm

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Is there short cuts available for solving problems cube roots and higher order roots , multiple

ratios, to find the time taken for one person when days taken by combined people is given

Reply

31. Jai kumar :

January 5, 2012 at 12:08 pm

The answer for the first question is wrong or the question is wrong because in the first question it is a% at

the right side if so the answer is 32 not 8/25.

Reply

32. mamatha :January 5, 2012 at 3:38 pm

it was really good…….but,

sir i have dought on 7,8,9,10 que and also help me in remaning topics…in feb iam gng to write gate soplease suggest me some techniques about gate……..plzzzzzzzzzzzzz

Reply33. vignesh :

January 5, 2012 at 4:21 pm

The percentage problem are very nice and usefull but still I have some confussion. If you give little moreexplanation means it will be ok for all…. I learned something…

Reply34. varsh :

January 8, 2012 at 7:44 am

could you plz explain a 10th problem again

Reply

35. suresh kumar challa :January 9, 2012 at 6:40 am

these short cut methods are really helpfull in solving problem in percentage ,thank you

Reply36. shanmu :

January 12, 2012 at 3:41 pm

in first problem 20%=20/100=1/5, 40%=40/100=2/5, 25%=25/100=1/4 ok then a%=a/100 why u

mention it as just a

Reply37. Shripad :

January 15, 2012 at 9:49 am

Page 13: Short Cut Methods in Quantitative Aptitude-Aptitude Tricks

2.8 x 25.3 + 18 ÷ 10.2 = ? How to solve this problem using tricks?

Reply

38. kalyani :January 17, 2012 at 3:24 am

this shortcuts are easy to solve 80% of questions on percentages…but i want shortcuts in other topics…

plz is there any chance of sending this topics to my mail…plzz.,

Reply

himani :March 9, 2012 at 12:35 pm

on which topic u want

Replysam :

June 11, 2012 at 9:30 am

hey i want some shortcuts for Profit and loss and Time speed distance… my exam on 15thjune so can you help me ?

Reply39. Gokul :

January 18, 2012 at 5:52 pm

Grt work frnd pls help me with time based problems

Reply

40. Dheeraj :January 25, 2012 at 2:58 pm

Thanks for the tricks

Reply41. tamilraaj :

February 1, 2012 at 11:25 am

it was very usefull .. and its easy to learn thanx….

Reply42. ranvir :

February 8, 2012 at 4:30 pm

please explain Q.9.

Reply

43. zeeshan hussain :

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February 10, 2012 at 6:46 am

Aptitude is very important and I was really fed up with preparing this.Now I got a simple trick to do itthanks for the short cut!

Reply44. Vikram :

February 21, 2012 at 6:00 am

Pls send me some easy tricks i want help

Reply

45. raj yadav :February 21, 2012 at 8:27 am

excellent….

Reply46. raghav kesar :

March 8, 2012 at 4:59 am

ohhh it is just awesome.. website..

Reply47. pari :

March 8, 2012 at 11:17 am

in question 9 the answer should be 30% therefore None in the given options as the next decreased valuefrom 33.33% is 30% as explained in ur another Topic.

Reply48. himani :

March 9, 2012 at 12:33 pm

so much thanks

Reply

49. anand singh :May 19, 2012 at 12:47 pm

so many thanks…….Osam site of many which i mostly come across

Reply50. Mazahar :

May 25, 2012 at 5:46 pm

Very useful

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Reply51. vandana :

May 29, 2012 at 10:02 am

yhank u a lotpls also help in solving reasongi probles

my reasonig is toooooooooooooooooooooooooo badi want io improv ethis

Replysam :June 11, 2012 at 9:31 am

for reasoning i’ll give u much tips mail me…or make messege at FB

[email protected]

Reply

parveen :July 22, 2012 at 9:51 am

then take a book ibps bank clerk arihant publication, which is very awesome

Reply52. nilutpol :

June 3, 2012 at 7:15 pm

Thanks 4r the shortcut…. Bt can it be possible to send more of the short cuts on other apptitueproblems… If possible plz help7.77777

Reply53. urfriend :

June 6, 2012 at 11:01 am

i have not understood 9 th problem

Reply

54. Rajan Shrivastava :June 9, 2012 at 6:19 pm

thanks a lot it really helped me : best wishes from my side to this site be a gr8 success

Reply55. Yasmin :

June 16, 2012 at 7:38 am

Simply super.. Hearty thanks for your helpful tricks to solve percentage. COuld you please send the short

cuts to remaining concepts to my mail iD? OR intimate me when you released the videos for other

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concepts?

I’m waiting here for your valuable reply.

Reply56. Prem :

June 17, 2012 at 4:16 pm

Thank you !

Need such kinds of aid in Reasoning too. Are you updating this site regularly?

Reply57. Gorakh :

June 20, 2012 at 11:59 am

lovely experience from that

Reply58. ashu :

June 24, 2012 at 10:06 pm

Question 9 answer is 25% i.e. c option……….. rest all is very useful….. thanx…..

Reply

swapna :July 7, 2012 at 8:11 am

very nice..it is very help ful…

Reply59. mohan :

July 4, 2012 at 12:38 pm

pls ,provide shortcuts for probability,time &distances,trains with in one day

Reply

60. Brinda :July 13, 2012 at 6:08 am

answer of the q 9 is 25%

let the length =X & breadth = Y

den area = XY

new length= X*133.33/100

but the area should be same den,let the breadth decresd by (100-Z)%, now

X*133.33/100*Y(100-Z)/100 = XY

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100-Z = 100*100*100/13333 === 75%

so Z = 25%

Reply

61. Waqar :July 17, 2012 at 8:56 pm

its very useful short cuts.. kindly tell about vacbouray & analytical shortcuts also …. how to judge ?? mvery weak in it

Reply

62. Niru gogoi :July 22, 2012 at 9:06 am

thanx .a lot 4 giving some shortcut option

Reply

63. parveen :July 22, 2012 at 9:46 am

sir thanks for building such a wonder website but if some more test papers are added then it would be

much more interesting and useful in all respect

Reply

64. Balamurali :July 24, 2012 at 8:19 am

Hi sir. Can u send the content short cut methods for all types of aptitude question.

Solving techniques

Reply

65. durga :July 28, 2012 at 1:46 pm

except 9 th ques all were good

9th ans is 25(1.3333-1)/1.3333*100=24.99=25

Reply66. sudhir :

July 29, 2012 at 6:34 pm

fantastic …..super like .

Reply

67. rohini :August 7, 2012 at 6:42 pm

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plz help me in solving this problem

One year ago beaties was 4 times as old as his son.in 6 years time his age exceeds twise his son’s age by9 years . The ratio me their present ages isoption 1. 9:2

option 2. 11:3option 3. 12:5

option 4. 13:4

Reply

68. rohini :August 7, 2012 at 7:12 pm

plz help me in solving this problem

One year ago beaties was 4 times as old as his son.in 6 years time his age exceeds twise his son’s age by9 years . The ratio me their present ages is

option 1. 9:2option 2. 11:3

option 3. 12:5option 4. 13:4

Reply

Suresh :August 22, 2012 at 7:50 am

Hi harini hear is ur solution…Let the son age be a x and beaties be 4x at one year ago .After 6 years they will be x+6 , 4x+6.

Given that beaties exceeds 9 years hence it will be(4x+6)+9 = x+6

then x is 3.after one year it will be 4 and beaties will be 13hence their ratio is 13:4..

For any quries contact me [email protected]

Reply69. Akila :

August 8, 2012 at 12:14 am

i dont have any idea abt apps round . but now i hope , when i atten % app questons , i secured good

marks. its very useful for me. thaks .i need shortcuts in other topics…plz is there any chance of sending this topics to my mail…

Reply

70. siva sankar :August 19, 2012 at 2:41 am

Hi sir. Can u send the content short cut methods for all types of aptitude questions.Solving techniques

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Reply71. siva sankar :

August 19, 2012 at 2:41 am

Hi sir. Can u send the content short cut methods for all types of aptitude question.Solving techniques

Reply72. arvi :

August 20, 2012 at 9:41 pm

hi…………nice tricks…….kindly help me 2 explore another type of question?

Reply

73. rahul :August 21, 2012 at 4:04 am

pls send the logical tips for solving the problems

Reply74. Sweta :

August 21, 2012 at 9:01 am

Hi ,

where are other lessons ? I could not find other than LESSON 1 -SHORT CUT METHODS/TRICKSIN PERCENTAGES

Reply

75. Suresh :August 22, 2012 at 7:39 am

Hey whats that stupid answer for 9th qustion… Elobarate it clearly

Reply76. Harish :

August 22, 2012 at 9:11 am

Can you send me any shortcut formula for Time & Distance

Reply77. sachin dange :

August 23, 2012 at 10:59 am

helpful for our compus test…thanks.

Reply

78. malik :August 27, 2012 at 3:10 am

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thanks

what about other shurt cutsis it end with percentage ?please give other questions shurt cuts

Reply79. kiriti :

August 29, 2012 at 5:45 pm

good work

Reply

80. vaibhav jain :September 3, 2012 at 7:14 pm

its really to read the conceptthank u…..

Reply

81. utkarsh gupta :September 11, 2012 at 1:36 pm

the solution given for question.9 is wrong…the ans. should b 25 not 20…

cz if one thin is increased by 33.33 % (1/3 in fraction) den the other one should decrease by 25%(1/(3+1) = 1/4 in fractions) .. n vice versa..

Reply

82. PRAVEEN KUMAR :September 14, 2012 at 2:44 pm

thank you,really useful for students

Reply83. madhuri :

September 24, 2012 at 1:59 pm

my question is -

Due to a 25% increase in the price of rice per kg, a person is able to purchase 20kg less for rupees 400.What is the increased price of rice

per kg?

Reply84. amit kumar :

September 28, 2012 at 7:34 pm

give me some other shortcut on another topic…………

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12/16/12

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Reply85. sabna :

September 29, 2012 at 1:05 pm

nice

Reply

86. anji :October 4, 2012 at 5:01 am

sir time & work shortcut methods formula please give me

Reply87. VKS :

October 5, 2012 at 11:28 am

I know all these, please post something new Sir

Reply

88. viswa schoolof banking :October 12, 2012 at 3:04 am

GREAT WORK SIRWE TAKE CLASS FOR BANK EXAMS TNPSC RAILWAYS SSC IN OTHER EXAMS WITH

SHORT CUT METHOD USE TO TEACH.BYVISWA SCHOOL OF BANKING OPP OF AIRTEL

11 TH CROSS THILLAI NAGER TRICHY-187402587727,8220631395

Reply

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