Let us take one question:
Question: Above Graph represents No. of units sold by Bajaj Auto in different segment from 2005 to 2008.
Ques1: In 2005, Scooters sales in volume is how much percentage of total sales.
a) 53.65 % b) 46.82% c) 56.37% d) 59.82%
Solution: In 2005, Scooters= 482
Total Sales= Scooters + Mopeds + Three Wheelers
= 482 + 245 + 128
=855
So, Answer = 482/855 x 100
Ultimately, you are required to perform division to get the answer.
Now, I will discuss how to calculate the value of 482/855.
Step 1: Approximate your denominator to nearest century number. In this case approximate 855 to 900.
Step 2: Calculate approximate value of the given fraction, in this case take numerator 500 and denominator 900. So approximate value of the given fraction will be 5/9.
Step 3: If a fraction x/y is given and you increase/decrease the numerator and denominator in the ratio x : y the value of fraction does not change.
Let us understand it taking an example:
Given ratio: 5/9
If I increase numerator by 5 and denominator by 9 , new fraction = 10/18= 5/9
If I increase numerator by 10 and denominator by 18 , new fraction = 15/27= 5/9
If I increase numerator by 25 and denominator by 45 , new fraction = 30/54= 5/9
If I decrease numerator by 15 and denominator by 27 , new fraction = -10/-18= 5/9
Step 4: Since we have calculated approximate value of fraction= 5/9.
Above calculation division becomes easy if you make denominator 900.
482/855= (482+x)/900
Increase in denominator = 900 – 855 = 45
So, if increase in numerator = 25 ;the value of fraction will not change. (since25/45=5/9 as discussed in step 3)
482/855 = (482+25)/(855+45) = 507/900 = 0.5633
So, Answer will be 56.33%
If you use calculator and find the exact value of fraction 482/855= 0.5637.
So, what we calculated using approximation is very close to actual value. If you look at the options,
You got the answer which is option [C]
So if you practice above method you can calculate any fraction very easily.
Question2: What is percentage increase in sales of scooter in 2008 w.r.t. 2007?
a) 25% b) 28% c) 31% d) 29%
Solution: % increase in sales = (614-476)/476 * 100
= 138/476 * 100
Approximate value of 138/476 = 150/500 = 3/10 = 0.3/1
138/476 = (138+x)/500
Increase in denominator = 500 – 476 = 24
Corresponding Increase in Numerator= 24 x 0.3 = 7.2
So, 138/476 = (138+7.2) / (476+24) = 145.2/500 = 0.2904
Answer = 29.04 %
Hence option D is correct.
If you use calculator and find out the exact value of 138/476 = 28.99%