Percentage Formula and Shortcuts, Short Tricks to Solve Percentage Problems
Percentage Formula and Shortcuts
The candidates who are going to appear in Competitive
exams must know the Percentage Formula
and Shortcuts, tricks to solve percentage problems. In competitive and many
written exams Quantitative Aptitude is the important topic and if the contender
knows the percentage formulas and shortcuts then he can solve the topics
easily. It is very difficult for the aspirants who don’t know the short tricks
to solve percentage problems to complete the paper on time. The examination will
be done on given time with the help of all the percentage formulas and
shortcuts tricks.
If you want to score good marks then you must keep
practicing the important topics daily. Remember the formulas and tricks at the
time of examination because it saves your time. Give time to every topic and
prepare important subjects from the previous year sample papers. This will boost
your confidence and you will be able to solve all the questions speedily. We
are providing Some Percentage Formula and Short Ticks
that will surely helpful for you.
Percentage Meaning And Its Examples
Percentage is per‑cent
which means parts per hundred (1/100).
If we have to convert percentage into fraction then it
is divided by 100.
45% = 45/100 (fractional) or 0.45 (decimal)
Example:
What is 30% of 80?
Solution: x = 30/100 X
80 and we do the math to solve for x. (The answer is 24.)
Example:
Convert decimal into percentage.
If we have to convert fraction into percentage we have
to multiple with 100.
0.25 = (0.25 × 100) % = 25%
1.50 = (1.50 × 100) % = 150
Example:
An increase of 30% in the price of oranges enables a
man to buy 6 kg less for Rs. 300. Find the increased price per kg.
Solution: The statement implies that the man has 30% of Rs. 300
available to spend on 6 kgs now. 30% of 300 = 30/100 x 300 = 90
So the increased price per kg is 90/6 = Rs. 15 per kg
The
above table will help you solve questions very fast and easily. Try to remember
these fractions because it will save lot of time in your examination.
Formulas
And Short Tricks
Results on Population:
Let the population of a town be P now and suppose it
increases at the rate of R% per annum, then:
1. Population after n years = P (1 + R/100) n
2. Population n years ago =P/ (1 + R/100) n
Percentage Increase/Decrease:
 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)] x 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)] x 100%
Results on Depreciation:
Let the present value of a machine be P. Suppose it
depreciates at the rate of R% per annum. Then:
1 .Value of the machine after n years = P (1  R/100) n
2. Value of the machine n years ago = P/ [(1  R/100)] n
3. If A is R% more than B, then B is less than A by= [R/
(100 + R)] x 100%
4. If A is R% less than B, then B is more than A by= [R/
(100  R)] x 100%
Note: For two successive changes of x% and y%, net change =
{x + y +xy/100} %
Percentage – Ratio Equivalence:
Converting
Fractions, Decimals To Percents:
Percent to Decimal: move the decimal
point two places to the left. For example, 42% = 0.42.
Percent to Fraction: place the
percent number in the numerator and 100 in the denominator; simplify. For
example, 42% = 42/100 = 21/50.
Decimal to Percent: move decimal
point two places to the right, For example, 1.6 = 160%.
Fraction to Percent: first
convert fraction to decimal, then follow the directions to convert from decimal
to percent. For example, 5/6 = 0.833 repeating = 83 and 1/3 %.
Take a Test Now

Percent
Change Type of Questions
Percent increase or decrease is one way to represent a
change in a given number. Percent increase is the percentage that the original
number increases and percent decrease is the percentage that the original
number decreases.
Simple Formula
Increase (or Decrease) = (Change
/ Original) * 100
Example You had
your eye on a $100 Trouser at the store, but you think it’s too expensive.
Finally, it goes on sale for $60. What is the percent decrease?
Answer
There is always the difference between our starting and ending points. In this
case, it’s 100 – 60 = 40. The “original” is our starting point; in this case,
it’s 100. (40/100)*100 = (0.4)*100 = 40%.
Example If price
of an article is increased by 33.33%, by what % it needs to be decreased to
make it to the same price?
Answer
Increased by 33.33% means 1/3 so need to reduce by 1/(3+1)= ¼ =25%.
Go Through it: Math
Questions and Answers
Point to Remember
If there is 1/x fractional increase then you will have
1/(x+1) fractional decrease and vice versa.
Multiple
Percent Change Type of Question
Question Two years ago, the population
of a street in Los Angles was 250. Last year, the population increased by 20%
and this year the population is expected to increase another 10% in that
street. How many residents is that street of Los Angles expected to have at the
end of this year?
Let’s look at the right way and
the wrong way to do this problem:
First, the right way: Street of Los Angles starts out with a population of
250. In the first year, the population increases by 20%, so we add 50 people
(practice Fast Math here: 10% + 10% = 20%, so 25 + 25 = 50). Our new population
is 250 + 50 = 300. This year, Los Angles will add 10% but, this time, 10% is
based on the new population figure of 300, not the old figure 250. This year,
we add 30 people, so our population at the end of the year is expected to be
300 + 30 = 330.
Now, the wrong way: If we just add 20% and 10%, for an increase of 30%,
we would have said that our population is based on a 30% increase of the 250
figure, or 75 (10% + 10% + 10% = 25 + 25 + 25 = 75). Our final answer would be
325. You can expect this number to show up in the answer choices, so you would
not realize it if you made this mistake.
Get Here Important Maths Formulas Preparation
Links


Official Note:
We hope that the above
information will be helpful for you at the time of examination. Keep practicing
the short cut tricks and percentage formulas daily so you can complete the
question paper speedily and you can score
better marks. At last we wish to say all the best to the aspirants who
are going to take exams. Do you well and don’t get confused between similar type
of questions.
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