Percentage tricks
Percentages can be done mentally both accurately and rapidly using this cool math trick.You can solve Percentage problems mentally.Become a genius !
You have to learn below tables in order to master percentage and it problems.
Percentage Basics | ||||
(1/2) | 50% | (1/20) | 5% | |
(1/3) | 33(1/3)% | (1/25) | 4% | |
(1/4) | 25% | (1/50) | 2% | |
(1/5) | 20% | (3/8) | 37(1/2)% | |
(1/6) | 16(2/3)% | (5/8) | 62(1/2)% | |
(1/7) | 14(2/7)% | (4/7) | 57(1/7)% | |
(1/8) | 12(1/2)% | (5/7) | 71(3/7)% | |
(1/9) | 11(1/9)% | 1 | 100% | |
(1/10) | 10% | |||
(1/11) | 9(1/11)% | |||
(1/12) | 8(1/3)% | |||
(1/13) | 7(9/13)% | |||
(1/14) | 7(1/7)% | |||
(1/15) | 6(2/3)% | |||
(1/16) | 6(1/4)% |
Question 1: Convert percentage into fraction
i) 157(1/7)%
Solution:
157(1∕7)
=100%+57(1/7)%
=1+4/7
=11/7 Ans
Question 2: If 44(4/9) % of a number is added to itself then result becomes 650.Find the original number.
Solution:
44(4/9)%
=4*11(4/9) %
=4*(1/9)
=4/9 %
In percentage,denominator always denotes original number and numerator is result %.
so as per question 4+9=13
13 units =650
1 units=50
so original number is =9*40=450 ans.
Question 3: In an election,10 % of the voters did not cast their votes,11(1/9)% of the votes out of voting done were considered invalid.The winner got 75% of the valid votes and won by 2000 votes.Find out the total number of voters in the voting list.
[ Try to solve this within 30 seconds ]
Solution:
Let total number of voter be 100
100
| -10 ( 10% voter did not cast)
90
| -10 [119(1/9)% =1/9 and 1+9=10 ]
80
80
/ \
75% 25%
Difference of 75% and 25% is 50%.
50% of 80=2000 (given)
40 ---->2000
1------> 50
Then 100 ---> 50 * 100=5000 Answer
Question 2: If 44(4/9) % of a number is added to itself then result becomes 650.Find the original number.
Solution:
44(4/9)%
=4*11(4/9) %
=4*(1/9)
=4/9 %
In percentage,denominator always denotes original number and numerator is result %.
so as per question 4+9=13
13 units =650
1 units=50
so original number is =9*40=450 ans.
Question 3: In an election,10 % of the voters did not cast their votes,11(1/9)% of the votes out of voting done were considered invalid.The winner got 75% of the valid votes and won by 2000 votes.Find out the total number of voters in the voting list.
[ Try to solve this within 30 seconds ]
Solution:
Let total number of voter be 100
100
| -10 ( 10% voter did not cast)
90
| -10 [119(1/9)% =1/9 and 1+9=10 ]
80
80
/ \
75% 25%
Difference of 75% and 25% is 50%.
50% of 80=2000 (given)
40 ---->2000
1------> 50
Then 100 ---> 50 * 100=5000 Answer
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