Saturday, 25 March 2017

Problems on Percentage


Example 1:

Height of arun is 50% greater than the height of amir khan. Height of amir khan is how much per cent less than that of arun?

Solution:
                             +50%  = 1/2
Amir khan --------------------------->  Arun

                 <----------------------------
                     -33.33% = 1/3 = 1/2+1

thus the height of amir is 33.33% less than arun

Example 2:

Due to irregular working habits of ramachandran his salary was reduced by 20% but after same month his salary was increased to the original salary. What is the percentage increase in salary of ramachandran? 

Solution:

Let initial salary be rs.100  

                -20%
100 -------------------> 80
      <-------------------
               +25%

Example 3:

Kajolu usually wear saree, which is 16.66% less than the actual length of the saree. By how much per cent the actual length of the saree is greater than the length of saree which kajol usually wears?

Solution:

Actual length                                                              Usual length
                                    -16.66% = 1/6
     -------------------------à A---------------------àUß-------------------       
                                          +20% = 1/5 = (1/6-1)

So the actual length of the saree is 20% greater than the usually used saree   

Example 4:

Initially mr. rakhi sawant has rs. 200 in her wallet then she increased it by 20%. Once again she increased her amount by 25%. The final value of money in her wallet will be how much percent greater than the initial amount.

Solution:

            +20%                                       +25%
200 --------------------à 240 -----------------------à 300
So the required % increase = 300-200/200 x 100 = 50%

Example 5:

The age of B is 50% greater than the age of A. The age of C is 20% less than the age of B. By how much percentage the age of C is greater than the age of A.

Solution:

            +50%                                       -20%
A -----------------------à B-----------------------------àC
100                              150                                          120
So the required percentage change = 20/100 x 100
                                                       = 20%


       

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