PERCENTAGE

Percentage



Percent means ‘per every hundred’. 5% means ‘5 per 100’.
In other words, percentage is a fraction with denominator as 100. 





Percentage is denoted as P.C. or %. Ex: 70 percent = 70%.

Convert Percentage into Fraction:
Step 1: The number is divided by 100.
Step 2: ‘%’ sign is removed.




Convert Fraction Into Percentage:
Step 1: Multiply fraction by 100.
Step 2: Put a ‘%’ sign.

Convert Percentage into Decimal:




Convert Decimal Into Percentage:
0.25 = (0.25 × 100)%  = 25%
1.50 = (1.50 × 100)% = 150%

Some Useful Formulas:



EXAMPLE:

1.In an election between two candidates, 75 % of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes?

Answer:

Number of valid votes = 80% of 7500 = 6000.

 Valid votes polled by other candidate = 45% of 6000
=45x 6000= 2700.
100

2.Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

Answer:

Let the amount taxable purchases be Rs. x.
Then, 6% of x =30
100
 x =30x100 = 5.
1006
 Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70

3.A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

Answer:

Number of runs made by running = 110 - (3 x 4 + 8 x 6)
= 110 - (60)
= 50.
 Required percentage =50x 100% = 455%
11011


sujan koilakuntla

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