Percentage Questions Tricks Part 1st

Here in this post I am going to clear your concept regarding various frequently asked questions from one of the most important Chapter “Percentage” which will help you to face these problems with full confidence and solve them in just 30 seconds mentally or with a little calculations in SSC/ Bank/ Railways and other competitive examination. The work of shortening the procedure is to be done by the student depending on his calibre and speed as in this post I am going to elaborate each and every concept in very detail manner with the help of you will be able to understand and solve the problems of this self.

Let’s continue with this chapter............

Concept 1^st :- (Basic Percentage Questions)

Q1. Express the following percentage as fraction:-

A  12.5%              b. 75%                 c.    48%                 d.    225%

Sol.   In these question student should divide the percentage value by 100 and should reduce it in its simplest form. Example: -

      A   12.5% = 12.5 /100  =  125/1000 (remove the decimal)

                                             = 1/8 (After reducing it in the simplest form)

     B      75% = 75 / 100 = 3/4  (After reducing it in the simplest form)

     C       48% = 48/ 100 = 12/25 (After reducing it in the simplest form)

     D       225% = 225/100 = 9/4 (After reducing it in the simplest form)

                                           = 2(1/4) (Converting it into mixed fraction.)

Q2.  Express the following fractions into percentage :-

     A    3/5                    b.     1/3                                 c.        5/8

Sol.   In these question student should multiply the fraction value by 100 should simplify it dividing it. Example: -

   A     3/5 = (3/5) × 100 = 3×20 = 60%

   b      1/3 = (1/3) × 100 = 33.33%

   c      5/8 = (5/8) × 100 = 5 × 12.5 = 62.5%

Concept 2^nd :- Comparison Questions

Concept:-                    x is what percent of y = (x/y) × 100.                    y is what percent of x = (y/x) × 100.                    x is what percent more than y = { (x-y) / y } × 100.                  y is what percent more than x = { (y-x) / x } × 100. Note :- You always get confused what should come in denominator, simple way to remember this concept is that value which comes after “of”, “then”, “from” comes in the denominator.

Q3. What percent is number 6 of number 25?

Sol.  As explained in the concept :- (6/25) × 100 = 24%.

Q4. Manish obtained 340 marks out of a maximum of 500 marks. Find the percentage of marks obtained by him.

Sol.  As explained in the concept :-  (340/500) × 100 = 68%

Q5. Two numbers are 20% and 50% more than a third number. What percentage is the first number of the second number.

Sol. Let the 3^rd number be 100.

       Then 1^st number = 120. & 2^nd number = 150.

       As explained in the concept :- (1^st number / 2^nd number) × 100 = (120/150) × 100 = 80%.

Q6. Two numbers are 30% and 40% less than a third number. What percentage is the second number then the first number.

Sol. Let the 3^rd number be 100.

       Then 1^st number = 70. & 2^nd number = 60.

       As explained in the concept :- (2^nd  number / 1^st  number) × 100 = (60/70) × 100 = 85.71%.

Q7. Two numbers are 20% and 25% of a third number. What percentage is the first number of the second number.

Sol.  Let the 3^rd number be 100.

       Then 1^st number = 20. & 2^nd number = 25.

       As explained in the concept :- (1^st number / 2^nd number) × 100 = (20/25) × 100 = 80%.

Q8. A man expends 75% of his income. When his income increases by 20% then he also increases his expenses by 10%. Find the percentage increase in his savings.

Sol. Let the income of the man be Rs. 100/-

        When he expends 75% means Rs. 75/- then he saves Rs. 25/- only.

        New income after 20% increase will be Rs. 120/-

        Then he increases 10% in his expenditure means now he expends Rs. 75/- + Rs. 7.50/- = Rs. 82.50/- therefore now his new saving will be Rs. (120 – 82.50 = 37.50)/-

Now increase in his savings = 37.50 – 25 = Rs. 12.50/-

Hence we can say that his saving increases Rs. 12.50/- from Rs. 25/-

As explained in the concept :- % increase in his saving = (12.50/25) × 100 = 50%.

(Note you may say that this is so long but dear this is the only way to explain the whole concept of the question to you now its upto you that how fast and short handedly you can solve these type of questions)

Hope you have enjoyed the base concept of this chapter till now. More Conceptual enjoyment will be continued for you soon, just keep visiting this blog regularly and writing me your related queries through comment or forum.

More types of questions will be followed soon on this blog........................