Formulae and Questions on Percentage

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Fraction
value of percentage :

1/2 = 50 %
                  1/3 = 33.33%
                     
1/4
= 25%                    1/5
= 20 % 
1/6 =16.67%
               1/7 = 14.28%  
                     
 
1/8 =12.5%                  1/9 =
11.11
Note :these
fraction value helps to minimize the calculation

Formula:
  1. if the price of a commodity increases
    by R% , then the reduction in consumption so as not to increase the
    expenditure is 100*R/(100+R)%
  2. if the price of a commodity decreases
    by R% , then the increases  n consumption so as not
    to decreases the expenditure is 100*R/(100-R)%.
  3. value of machine after n years =
    p(1-R/100)power n .
  4. if A is R% more than B , then b is
    less than A by 100*R/(100+R)%.
  5. if A is R% less than B , then b is
    more than A by 100*R/(100-R)%.
Example:
1. if 1/5
of a number is 25 less then 1/4 of a same number . what will be 3/2 of number .
Answer:
as you know
1/5 = 20% and 1/4 = 25%

so
difference b/w these two is 5% which is equal to 25
then
 5% *20  —- 25*20     100% —-500

and 100%
percent is the real value 
you can now
calculate 3/2  is   750
2. if
the numerator of fraction is increase by 20% and denominator is decrease by 80%
then fraction becomes 18/15. what is the actual fraction .
Answer:
120% N/20% D
= 18/15
then
N/D = (18/15 )*20/120
N/D =
1/5   
3 . if A’s
salary 20% less then B’s salary then B’s salary is how much more then A.
Answer:
suppose B’s
salary is 100 then A’s salary is 80
now you can
calculate b’s salary in respect to A
( 20/80)*
100 = 25%
4. A number
is increased by 12% and again deceased by 18% then how much change in that
value. 
formula
for this problem % change = (x)+(y)+x*y/100
Note:  take
the value with symbol , if increase then take ‘”plus” if decease in
value then take “minus”. this formula is applicable for circle ,
square , triangle etc
12-
18 – 216/100 =   -8.16  decrease is value by 8.16% 
5. A person
gave 20% of his income to his elder son. 30% of the remaining to the younger
son and 10% of the balance, he donated to a trust. He is left with Rs. 10080.
His income was:
Answer: Let
income be Rs. 100.
Sum given to
elder son
= 20% of Rs.
100 = Rs. 20
Remaining
Sum = Rs. 20
Sum given to
younger son = 30% of Rs. 80= Rs. 24
Remaining
Sum
= Rs. (80
-24) = Rs. 56
Remaining
sum
= 10% of Rs.
56 = Rs. 50.4
When Rs.
50.4 remains, total income = Rs. 100
When Rs.
10080 remains, total income
=
(100×10080)/50.4  = Rs. 20000

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86 Comments

  1. Sir i think such process is not good for ssc …but useful for banking xams.. pls provide some tips on zeometry…

  2. In ssc we need to get deeper knowledge rather than remembrring ticks..may be i m wrong..pls dnt mind

  3. Naah.
    You are absolutely ryt.

    N however u can not apply these short tricks in exams unless your basics are clear.

  4. subash work = 50/10 =5/1 mean 5 pages in 1 hour
    subash + parkash = 300/40
    5/1+parkash =300/40
    parkash=15/2-5/1=5/2
    30*2/5=12

  5. Basic knowledge and some tricks both are useful… So thanks mam and sir for this post…

  6. bhai ye question deekhna issme maaine answer to theek nikaal diya but shyaad mujhe laagta hai concept maaine shaayd gaalta na laaga diya ho
    maine

    4*1+40*1=11000
    means after that
    4x+40X=11000
    x=250
    after
    4x=250*4=1000 anser

    is it right method or nay other

  7. mera answer 2 aa raha hai inka answerr 6 aaa raha hai paata naahin anser key mae gaalt hai please check it

  8. please check it above question isme 2 formula laaagye hai maine wo shyaad aapko pata hi hoge

  9. bhai dekho formula hai..
    agar A and B same direction mai jaa rahe hain to .. they'll meet after L/(relative speed)
    =30/(7-5)= 15 hours..
    jab B aur C opposite direction pe jaa rahe hain,,ek point pe milenge wo hai..= 30/(7+8)= 2 hours
    now.. A,B aur C milenge =
    LCM(15,2)
    = 30 hours

  10. the answer is 12 hr ……..in 40 hrs subhash can copy 50*4=200 pages …….that means prakash takes 40 hrs to caopy 100 pages i.e 10 pages in 4 hrs ………..so 30 pages in 3*4 i.e 12 hrs

  11. m ltl cnfusd
    relativ speed B C ki hi kyo li h…A C ki b to li ja skti h…plzz clear it

  12. Aap ko samaj gaya tho mujhe explain kardo me bhi use tarah socha lakin vo sahi nahi kahte hai mujhe batado

  13. ussme 1 hours ka work 5 pages (means 5 unit work hai )
    kyki ye already 1 hours ka work hai kyki humaara motive 1hours or 1 day ka work nikaalna hota hai jo ye already hai 1 hours work = 5pages )

    so suppose parkas 1 hours work or do the pages in 1 hours =x pages (xunit)

    so 5+x=300/40

    so solved x

    x ki valued means wo 1 hours mae x pages kaarega yaahan (x ko 1/x kaarni ki jaarurt naahin hai kyki ye already work hai)

  14. ussme 1 hours ka work 5 pages (means 5 unit work hai )
    kyki ye already 1 hours ka work hai kyki humaara motive 1hours or 1 day ka work nikaalna hota hai jo ye already hai 1 hours work = 5pages )

    so suppose parkas 1 hours work or do the pages in 1 hours =x pages (xunit)

    so 5+x=300/40(

    so solved x valued

    x ki valued means wo 1 hours mae x pages kaarega yaahan (x ko 1/x kaarni ki jaarurt naahin hai kyki ye already work hai)

  15. bhai tune b aur c ko hi opposite kyu liye a and c bhi to aa saakte the thoda explain kaar yaar bhut important querstion hai ye haar saal repeat hota hai qusestion

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