In data interpretations section od SBI PO Examination you will get questions based on Average. it is the most easy question for solving if you have good knowledge of percentage formula. So here we have given a details analysis of Short Tricks To Solve Data Interpretations Questions Based on Percentage for SBI PO Exam.
Percentage :
- The term percentage means for every hundred.
- A fraction whose denominator is 100 is ccalled a percentage and the numerator of the fractions is called the rate per cent.
- It is denoted by the symbol %.
- Percentage is a very useful tool for comparison in the analysis of data.
Mathematically,
x%= x/100
Example :
In their captaincy Sourav Ganguly has won 127 matches out of 205 matches and Rahul Dravid has won 64 matches out of 140 matches.
We can easily compare the success rate using percentage method.
Success rate of Ganguly : 127/205 X 100 = 61.95%
Success rate of Dravid : 64/140 X 100 = 45.71%
Interpretation of Data Involving the Percentage
RULE - 1 :
To find how much per cent "x" is more or less than "y"
( when x > y)
( when y > x)
The denominator part contains the value with which the comparison is made.
RULE - 2:
To find the percentage change in any value, say x compared to the other value, say y
Required percentage change (c) = (x-y)/y
if c is positive, then there is percentage increase in the value of x over y and if c is negative, then there is percentage decrease pr negative growth.
RULE - 3 :
Two percentage value can't be compared unless the base value are known.
RULE - 4 :
Two percentage value can be compared in terms of percentage values but not in absolute values when the base values are same although base values are not known
Some Questions on Percentage :
1. Find 79% of 429.
- 724
- 422
- 339
- 429
- None
Solution : (3)
79%=80%-1%
80%=4/5 that is 4/5x429 = 4x85.8 = 343.2
1% = 4.29
That is 79% of 429 = 343.2 - 4.29 = 339
2. Find 361% of 2345.
- 8477
- 8465
- 7423
- 5300
- None
Solution : (2)
361% = (300+50+10+1)%
300% = 3x2345=7035
50% = 1/2x2345 = 1172.5
10% = 1/10 x 2345 = 234.5
1% = 1/100 x 2345 = 23.45
Required 361% = 7035 + 1172.5 + 234.5 + 23.45 = 8465
3. How much per cent of 1795645 is 64598 ?
- 3.33%
- 3.56%
- 2.30%
- 3.00%
- None
Solution : (1)
Required Percentage = 64598/1795645 x 100% = 3.6%
But we have to find the approximate value so
Approx Percentage = 6/179 x 100% ~ 6 /180 x 180% = 3.33%
4. Find in how many countries the production of cars has increased by less than 5% in 2008 over last year.
COUNTRIES 2007 2008
- India 700 760
- USA 900 940
- China 1760 1860
- Japan 1500 1580
- Italy 1160 1218
- 1
- 4
- 2
- 3
- None
Solution (1)
Increment in production of cars in 2008 over 2007
in India = [760-700]/700 x 100% = 8.57%
In USA = [940-900]/900 x 100% = 4.44%
In China = [1860-1760]/1760 x 100% = 5.68%
In Japan = [1580 - 1500]/1500 x 100% = 5.33%
In Italy = [1218-1160]/1160 x 100% =5%