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 and where to apply short cut methods
- in bank exams like IBPS
- Written test for MNC job
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:
- When any value increases by
- 10%, it becomes 1.1 times of itself. (since 100+10 = 110% = 1.1)
- 20%, it becomes 1.2 times of itself.
- 36%, it becomes 1.36 times of itself.
- 4%, it becomes 1.04 times of itself.
Thus we can see the effects on the values due to various percentage increases.
- When any value decreases by
- 10%, it becomes 0.9 times of itself. (Since 100-10 = 90% = 0.9)
- 20%, it becomes 0.8 times of itself
- 36%, it becomes 0.64 times of itself
- 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 it will 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.
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%.
- When a value is subjected multiple changes, the overall effect of all the changes can be obtained by multiplying 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 ___
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:
- 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 the expenditure 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 to make 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.
a. 500000 b. 400000 c. 600000 d. None
clear explanation for above problems:
- 1/5 X 2/5 X a = ¼ X a X b => b = 8/25
- % difference = (200-50)/50 X 100 = 300 %
- % increase = (80-30)/30 X 100 = 166.66 %
- 1.3 x = 78000 => x = 60000.
- Net effect = 1.2 X 1.1 X 0.7
= 0.924 => 7.6% decrease.
- 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%.
- 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%.
- It is equivalent to 1.25 decreased to 1. So 20% decrease.
- 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
thanx
ts a gr8 help
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
VERRY GOOD
TOO COOL
thanks
Dear Sir,
Could you please explain me 9th Question in details?
Thanks in Advance
ROFLOL
how abt the short cuts for train sums,,
It’s really good but i don’t understand 9 question?????
same as ques 7
gud one…….
its super cool thnks
Thanks and we will provide all short cut methods for free in the form of video tutorials,which will introduce shortly in this website
HEY CAN PLZ…TELL ME SHORT CUTS OF LCM,HCM………….REPLY MUST AS SOON AS POSSIBLE
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
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..
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
thank u sumit…
thank you.
it’s very useful for me.
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
ITS SO NICE.I REALLY THANKS TO GIVE TRICKS BUT PLEASE GIVE TRICKS FOR OTHER TOPICS.
THANK YOU ONCE AGAIN
i dont understand 10 ques.how 400000 will occured?
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.
hi
did u got any shortcuts on percentages..
if so pls tel me
i have doubt that is how to calculate 8% of 800*?=224
4/7*2/3*?=1008
5.5*6.4/0.4=?.
Hey thanks so much. so helpful. but kindly help me out with Qs 9 and 10. thank you once again
sir
plz post shortcut methods for work related problems.
Thanku. very nice.but i need some more logical reasoning test for pratice
Have you tricks for Compound intrest ,please replay me.
Thank you
its simply awesome
my exam is on 11 dec
now i will clear tthis topic
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.
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 rohit.singh088@gmail.com
how to answer synonymsand antonyms by shortcut metbod?
gud trick
Thank u
i realy confused……………..
thanks…its useful ……but i m confused with 5 th answers solution
it’s really fantastic one.but by explaining vth videos is normally a better choice
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
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
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.
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 so please suggest me some techniques about gate……..plzzzzzzzzzzzzz
The percentage problem are very nice and usefull but still I have some confussion. If you give little more explanation means it will be ok for all…. I learned something…
could you plz explain a 10th problem again
these short cut methods are really helpfull in solving problem in percentage ,thank you
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
2.8 x 25.3 + 18 ÷ 10.2 = ? How to solve this problem using tricks?
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.,
on which topic u want
hey i want some shortcuts for Profit and loss and Time speed distance… my exam on 15th june so can you help me ?
Grt work frnd pls help me with time based problems
Thanks for the tricks
it was very usefull .. and its easy to learn thanx….
please explain Q.9.
Aptitude is very important and I was really fed up with preparing this.
Now I got a simple trick to do it
thanks for the short cut!
Pls send me some easy tricks i want help
excellent….
ohhh it is just awesome.. website..
in question 9 the answer should be 30% therefore None in the given options as the next decreased value from 33.33% is 30% as explained in ur another Topic.
so much thanks
so many thanks…….Osam site of many which i mostly come across
Very useful
yhank u a lot
pls also help in solving reasongi probles
my reasonig is toooooooooooooooooooooooooo bad
i want io improv ethis
for reasoning i’ll give u much tips mail me…
or make messege at FB
sanket.shah69@gmail.com
then take a book ibps bank clerk arihant publication, which is very awesome
Thanks 4r the shortcut…. Bt can it be possible to send more of the short cuts on other apptitue problems… If possible plz help7.77777
i have not understood 9 th problem
thanks a lot it really helped me : best wishes from my side to this site be a gr8 success
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 concepts?
I’m waiting here for your valuable reply.
Thank you !
Need such kinds of aid in Reasoning too. Are you updating this site regularly?
lovely experience from that
Question 9 answer is 25% i.e. c option……….. rest all is very useful….. thanx…..
very nice..it is very help ful…
pls ,provide shortcuts for probability,time &distances,trains with in one day
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
100-Z = 100*100*100/13333 === 75%
so Z = 25%
its very useful short cuts.. kindly tell about vacbouray & analytical shortcuts also …. how to judge ?? m very weak in it
thanx .a lot 4 giving some shortcut option
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
Hi sir. Can u send the content short cut methods for all types of aptitude question.
Solving techniques
except 9 th ques all were good
9th ans is 25
(1.3333-1)/1.3333*100=24.99=25
fantastic …..super like .
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 by 9 years . The ratio me their present ages is
option 1. 9:2
option 2. 11:3
option 3. 12:5
option 4. 13:4
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 by 9 years . The ratio me their present ages is
option 1. 9:2
option 2. 11:3
option 3. 12:5
option 4. 13:4
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 13
hence their ratio is 13:4..
For any quries contact me sforsuresh999@gmail.com
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…
Hi sir. Can u send the content short cut methods for all types of aptitude questions.
Solving techniques
Hi sir. Can u send the content short cut methods for all types of aptitude question.
Solving techniques
hi…………nice tricks…….kindly help me 2 explore another type of question?
pls send the logical tips for solving the problems
Hi ,
where are other lessons ? I could not find other than LESSON 1 -SHORT CUT METHODS/TRICKS IN PERCENTAGES
Hey whats that stupid answer for 9th qustion… Elobarate it clearly
Can you send me any shortcut formula for Time & Distance
helpful for our compus test…thanks.
thanks
what about other shurt cuts
is it end with percentage ?
please give other questions shurt cuts
good work
its really to read the concept
thank u…..
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..
thank you,really useful for students
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?
give me some other shortcut on another topic…………
nice
sir time & work shortcut methods formula please give me
I know all these, please post something new Sir
GREAT WORK SIR
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