### MATH PERCENTAGE % SHORTCUT TRICKS

Quantitative Aptitude Study Notes for Bank & SSC Exam
MATH PERCENTAGE % SHORTCUT TRICKS
You know that quantitative aptitude section is most important in bank exams in PO and Clerk and for other competitive exams because if you want good score in bank exam then you have to score good in maths. In competitive exams the most important thing is time management, if you know how to manage your time then you can do well in Bank Exams. That’s where maths shortcut tricks and formula are comes into action.
The one of the most important topic in maths is Percentage %. You should know how to calculate maths percentage in very short time. For this here we are providing shortcut tricks to calculate percentage in maths.

MATH PERCENTAGE:
The term percent means ‘for every hundred’. It can best be defined as:
“A fraction whose denominator is 100 is called a percentage (%), and the numerator of the fraction is called the rate per cent”.
The example given below will illustrate the percents and their fractional value.
Ex. A woman invests 9% of his income into shares. It means:
i.            She invests Rs. 9 out of every Rs. 100 of her income into shares.
ii.            She invests 9/100 of her income into shares.
Now, if her income is 10000, how does she invest in shares?
Some important or most used prime fractions for maths percentages:
 Percent Decimal Fraction 1% 0.01 1/100 5% 0.05 1/20 10% 0.1 1/10 12½% 0.125 1/8 20% 0.2 1/5 25% 0.25 1/4 331/3% 0.333... 1/3 50% 0.5 1/2 75% 0.75 3/4 80% 0.8 4/5 90% 0.9 9/10 99% 0.99 99/100 100% 1 125% 1.25 5/4 150% 1.5 3/2 200% 2

Examples with shortcut tricks on how to calculate percentages are given below:
Ex: Find 8% percent of Rs. 625.
Solution: 8% of Rs 625 = 2/25 × 625; = Rs 50.

Ex: what fraction is 25/2 % percent?
Solution: 25/200; =1/8
Ex: What percentage is equivalent to 3/8?
Solution: 3/8 × 100; = 75/2 = 371/2%
Ex: Ram’s salary is increased from Rs 630 to Rs700. Find the increase percent.
Solution: Increase in salary = Rs700-Rs630 = Rs70
Percentage increase = 70/630 × 100; = 111/9%
To calculate how much percent one quantity is of another.
Ex: Express the fraction which Rs. 1.25 is of Rs. 10 as a percentage.
Solution:  fraction = 1.25/10;
= 125/1000; = 1/8
Then; 1/8= 100/8 /100
= 121/2%
Ex: 12% of a certain sum of money is Rs.43.5. Find the sum.
Solution: 12/100 of a sum= Rs 431/2%
The sum = 87/2 × 100/12
= Rs. 362.50
Ex: Two numbers are respectively 20% and 50% more than the third. What percentage is the first of the second?
Solution: we will use theorem for this question:
Theorem1: 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.
So by using this formula we will solve the question:
=120/150 × 100 = 80%
Theorem 2. If A is x% of C and B is Y% of C, then A is x/y × 100% of B.
Ex: Two numbers are respectively 20% and 25% of a third number.
Solution: following the above theorem, we have the required value.
=20/25 × 100
=80%
Ex: A positive number is divided by 5 instead of being multiplied by 5. What % is the result of the required correct value?
Solution: Let the no. be 1, then the correct answer = 5
The incorrect answer that was obtained = 1/5
The reqd. % = 1×100% / 5×5
= 4%
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