Banker's adda latest percentages simple shortcut material bankers adda quant capsule

Banker's adda latest percentages simple shortcut material bankers adda quant capsule 


To convert fraction into percentage multiple the given fraction with 100%
50% = 50/100 = 1/2
1/2 = 1/2(100%) = 50%
EX:
convert the folowing percentages into fraction
1) 60% = 60/100 = 3/5
2) 12.5 % = 12.5/100 = 5/40 = 1/8
3) 33 (1/3)% = 100/3 = 1/3
4) 16(2/3)% = 50/(3*100) = 1/6

EX:
convert the following fractions into percentage
1) (3/4)*100 = 75 %
2) (4/5) * 100 = 80%
3) (2/3) * 100 = 200/3 = 66(2/3)%
4) (1/5) *100 = 20%
5) (1/12)*100 = 25/3 % = 8 (1/3)%
NOTE:
50% = 1/2
25% = 1/4
12(1/2)% = 1/8
6(1/4)% = 1/16
66 (2/3)% = 2/3
33(1/3)% = 1/3
16(2/3) % = 1/6
8(1/3)% = 1/12
75% = 3/4
14 (2/7)% = 1/7
11(1/9)% = 1/9
9 (1/11)% = 1/11
NOTE:
1/1 = 100%
1/2 = 50%
1/3 = 75%
1/4 = 25%
1/5 = 20%
1/6 = 16 (2/3)%
1/7 = 14(2/7)%
1/8 = 12(1/2)%
1/4 = 11(1/4)%
1/10 = 10%
1/11 = 9(1/11)%
1/12 = 8(1/3)%
FORMULAE:
1 x%y = (x/100)y
(xy)/100
2 x is what percentage of y
what = (100%x)/y
is/of just remember
EG:
IN 250 FIND 30 % VALUE?
10% = 25
30 % = 75
EG:
IN 360 FIND 15%
10% = 36
5% = 18
15% = 54
EG:
IN 450 FIND 22 % VALUE?
10% = 45
20% = 90
2% = 9
......
99
IN 240 FIND 19%?
20% 48
-1% 2.4
........
45.6
EG:
30 % OF 120 = 36
EG:
IN A CLASS BOYS AND GIRLS ARE IN THE RATIO 3:2 then find percentage of boys
total 5 parts
boys (3/5) * 100 = 60%
girls (2/5) *100 = 40%
METHOD 2
5 - 100
2 ?
5---100
3 ?
EG:
IN A CLASS BOYS AND GIRLS ARE IN THE RATIO 3:2 then find percentage of boys
boys what percentage more that girls?
(1/2) * 100 = 50%
EG:
IN A CLASS BOYS AND GIRLS ARE IN THE RATIO 3:2 then find percentage of boys
girls what percentage more than boys ?
(1/3)* 100 = 33(1/3)%
EG:
IN A CLASS BOYS AND GIRLS ARE IN THE RATIO 3:2 then find percentage of boys
Boys is what percentage of girls?
(3/2)100 = 150%
EG:
IN A CLASS BOYS AND GIRLS ARE IN THE RATIO 3:2 then find percentage of boys
girls is what percentage of Boys ?
(2/5)*100 = 200/3 = 66(2/3) %
MODEL :
EG:
A Salary is 20 % less than b salary then b salary is what % more than a salary?
4 : 5
(1/4) 100 = 25%
short cut formulae
(X/(100±X))*100%
MORE - PLUS
DECREASE OR LESS -- MINUS
COMPARE ABOVE PROBLEM
(20/(100-20))*100
(20/80)*100 = 25%
EG:
A rectangle length increased by 10 % by what percentage breadth has to be decrease sothat no change in its area?
(10/(100+10))*100
(10/110)*100
9(1/11)%
EG:
price of a article decreased by 30% by what percentage it sales has to be increase so that these is no effect in revenue?
(30/70)*100
300/7
42(6/7)%
EG:
price of a sugar increased by 20% by what percentage it consumption has to be decreased sothat there is no change
(20/120)*100%
16(2/3)%
MODEL:
EG:
Population of a town is 5000 in the first year it is increased by 10 % and then 2nd year it decreased by 20 % find the
find the population after 2 years and the overall percentage
population first year 10% increased so 110/100
population second year 20% decreased 80/100
5000 *(110/100) * (80/100)
550*8
4400
(600/5000)*100
12% decreased
METHOD 2:
+10% -20%
ONLY ON TWO PERCENTAGE CHANGES ONLY
((X+Y+(XY/100)) %
(10-20-200/100)%
-12% DECREASED
EG:
A rectangle length is decreased by 10% and bredth decreased by 10 %
find the effect on its area?
(-10-20+(200/100)%
-28% decrease
EG:
thrice of a article first increased by 10% and again increased by 20 % then decrease by 25 %?
100*(110/100)* (75/100)
99%
1 percentage decreased
MODEL 3:
EG:
population of a town first increased by 10 %and then decreased by 205 if the final population is 4400 initial population?
increased by 10% so 100/110
decreased by 20% so 100/80
4400*(100/110)*(100/80)
5000
EG:
A man spends 85% of his income per household items and out of the remaining 50% per transport if he finally saves 900 find his income?
900*(100/15)*(100/50)
12500
EG:
In a college 30% are arts graduates out of the remaining 40% are science graduates out of the remaining 50% are computer
graduates find total no of students?
-30% -40% -50%
210*(100/70)*(100/60)*(100/50)
EG:
The ratio between a ,b,c is 3 :4 :5 a increased by 20% and b increased by 25% and c reduced by 10% then find new ratio?
300 : 400 : 500
360 : 400 : 500
36 : 50 :45
EG:
Total votes polled in a election is 1200 votes difference between the winning and loosing candidate is 20%
then find how much votes that winning candidate got?
100%
20% 80%
differcnce 60% = 1200
1% = 20 votes
80% = 1600 votes
EG:
IN A ELECTION BETWEEN TWO CANDIDATES ONE CANDIDATE GOT 60% VOTES AND WON BY 500 VOTES THEN FIND TOTAL VOTES?
100%
40% 60%
DIFFERENCE 20% = 500
1% = 25 VOTES
TORAL = 100*25 = 2500 VOTES
EG:
TO pass in an exam every guy need 40% marks but one candidate got 40 marks and then failed by 40 marks then
total marks in that exam?
pass : 40 + 40
80
so pass percentage 40% = 80marks
1% = 2 marks
100% = 200 marks
EG:
to pass in an exam students need 30 % marks but one student got 100 marks
he got 10 marks more than pass mark then total marks in that exam?
pass % pass marks
30% 100marks - 10 marks
30% 90 marks
1% 3 marks
100% = 300 marks
Eg
in an exam a got 32% marks and failed by 9 marks
b got 40% marks and pass by 15 marks then find total marks in that exam?
a 32% -9marks
b 40% 15 marks
difference 15-(-9)
24
8% 24 marks
1% ?
1 percent 3 marks
total marks 300

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