Ssc ibps rrb Percentage formulas , tips and tricks

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Percentage Formulas and Tricks 


 Percentage = [Value / Total Value * 100]   If two values are respectively x% and y% more than a third value, then the first is the (100+x) / (100+y) *100% of the second.


 If A is x% of C and B is y% of C, then A is x/y*100% of B.


 x% of quantity is taken by the first, y% of the remaining is taken by the second and z% of the remaining is taken by third person. Now is A is left in the fund then there was (A*100*100*100) / (100-x) (100-y) (100-z) in the beginning.


 x% of quantity is added. Again y% of increased quantity is added. Again z% of the increased quantity is added. Now, it becomes A, then the initial amount is given by(A*100*100*100) / (100+x) (100+y) (100+z)


 If the original population of a town is P and the annual increase is r%, then the population in n years will be –

P + P*r/100 = P*(1+r/100)



 The population of a town is P. It increases by x% during the 1st year, increases by y% during the 2nd year and again increases by z% during the third year. Then, the population after 3 years will be –

P*(100+x)(100+y)(100+z) / 100*100*100


 When the population decreases by y% during the 2nd year, while for the 1st and 3rd years, it follows the same, the population after 3 years will be –

P*100+x)(100-y)(100+z) / 100*100*100


 If the price of a commodity increases by r%, then the reduction in consumption so as not to increase the expenditure, is (r/100+r) * 100%


 If the price of a commodity decreases by r%, then the increase in consumption so as not to decrease the expenditure, is (r/100-r) * 100%


 If the first value is r% more than the second value, then the second is (r/100+r) * 100% less than the first value.


 If the first value is r% less than the second value, then the second is (r/100-r) * 100% more than the first value.


 If the value of a number is first increased by x% and later decreased by x%, the net change is always a decrease which is equal to x% of x or x2/100.


 If the value of a number is first increased by x% and later decreased by y%, then there is [x-y-(x*y/100)] % increase or decrease, according to the =ve or –ve sign respectively.


 If the order of increase and decrease is changes, the result remain unaffected.


 If the value is increased by x% and y% then the final increase is [x+y+(x*y/100)] %.


 If the price of a commodity is diminished by x% and its consumption is increased by y%
Or
If the price of a commodity is increased by x% and its consumption is decreased by y%

Then the effect on revenue is = [Inc. % Value – Dec. % Value – (Inc. % Value * Dec. % Value/100)].


 The passing marks in an examination is x%. If a candidates who scores y marks, fails by z marks, then the max marks –

M = 100*(y+z)/x.


 A candidate scoring x% in an exam fails by ‘a’ marks, while another candidate who scores y% marks gets ‘b’ marks more than the min required pass marks. Then the max marks for the exam are –
M = 100*(a+b) / (y-x).


 In measuring the sides of rectangle, one side is taken x% in excess and the other y% in deficit. The error % in area calculated from the measurement is [x – y – (x*y/100)].


 If the sides of triangle, rectangle, square, circle, rhombus are increased by x%, then its area is increased by [x * (x+200) / 100] % or [2*x + (x2/100)] %.


 In an exam x% students failed in English and y% students failed in Maths. If z% of students failed in both,

Then the % of passed students in both subjects is = 100 – (x + y – z) or (100-x) + (100-y) + z.


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