Important Points to Remember:






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Important Points to Remember:






Aptitude Shortcuts and Tricks for Allegation & Mixture Problems:
Dear Readers, Aptitude Shortcut methods and tricks for the problems related to Allegation & Mixture were given below. Candidates who are preparing for upcoming exams can use this.
PERCENTAGE
What is Percentage: A fraction with its denominator as ‘100’ is called a percentage. Percentage means per hundred. So it is a fraction of the form 6/100, 37/100, 151/100, and these fractions can be expressed as 6%, 37%, and 151% respectively. By a certain percent, we mean that many hundredths.
Thus x percent means x hundredths, written as x%.
To express x% as a fraction:We have, x% = x/100.
Thus, 20% =20/100 =1/5; 48% =48/100 =12/25, etc.
To express a/b as a percent:We have, a/b = ((a/b)*100)%
Thus, ¼ =[(1/4)*100] = 25%; 0.6 =6/10 =3/5 =[(3/5)*100]% =60%
Why Percentage: Percentage is a concept evolved so that there can be a uniform platform for comparison of various things. (Since each value is taken to a common platform of 100)
Example: To compare three different students depending on the marks they scored we cannot directly compare their marks until we know the maximum marks for which they took the test. But by calculating percentages they can directly be compared with one another.
Important Points to Remember:
a)If the price of a commodity increase by R%, then the reduction in consumption so as not to increase the expenditure is
[R / (100+R))*100] %
b)If the price of the commodity decreases by R%, then the increase in consumption so as to decrease the expenditure is
[(R / (100-R)*100] %
c)If A is R% more than B, then B is less than A by
[(R/(100+R))*100]%
[(R/(100-R))*100]%
Results on Population: Let the population of the town be P now and suppose it increases at the rate of R% per annum, then:
Results on Depreciation: Let the present value of a machine be P. Suppose it depreciates at the rate of R% per annum. Then,
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