Meaning and Examples
To understand the meaning of a percentage you have to go through the meaning of number , secondly the ratio and there after the fraction and then we learn about percentage.
Number
A number is a symbolic representation of each unit set in a particular priority
Ratio and Fraction
To compare those number with each other we use ratio which can also be represented in the form of fraction.Ratio and fraction are co-related to each other in a way. In a fraction the upper value is called as a numerator and the lower value is called as a denominator.The fraction is any value which does not contains zero in the denominator.Percentage
Till now we have known about number ,ratio and the fraction and now we are comes to the part of percentage.Percentage word which is a combination of a word " per cent " that means for every hundred.
The number, which is in a fraction form whose denominator is "100" is called as a percentage and the numerator of the same number is called as a rate per cent .
Examples :
1. A student get 50% marks in an examination if he obtained 250,then the total marks is ?
This implies that 50 ' for every hundred '.then total marks is equals to 250/50× 100 = 500
it means 50 marks for every 100.then total marks is equals to 500 and to get that while solving percentage ,it will be easy for you some time to use fraction like 250/1×2 = 500.
2. A student get 33.33% marks in an examination if the total marks is 999, then find his marks ?
1/3×999 = 333.
3. A man gave loan at 40% rate of interest.
it implies
(i) he will get Rs. 40 on/for every Rs. 100 as a interest.
(ii) he will get 2/5 of the principal as a interest.
(iii) he will get 40/100 for every 100.
4. a) A seller get 12% profit on a product.) A seller get 12% profit on a product which is cost Rs. 225 to him/her.
A seller get 12% profit implies for every 100% or 3/25 on/for every 100.
Now If a seller get 12% profit on Rs. 225 that means he get Rs. = 12/100×225 or 3/25×225
'Tips and Tricks'
Now we have two option/method/way to solve this question but we need to consider the which saves our time , so we follow
he get Rs. = 3/25×225 (fraction is more helpful in this case)
To calculate it much faster, do remember at least table upto 30 and some important most used fractions:
Production = Manpower × Working Hour
Decrease in Production = Decrease in Manpower
Let Manpower = 100 units and Working Hour = 100 units, Suppose working hours increase by x%.
Then, (100-25) (100 + x ) = 100 × 100
100 + x = 400/3
x = 100/3 ; x = 331/3%
Rs. 1 = 100 paise
x×100/100 = 6
x = 6 × 100/100
x = 6%
Sol:
Let there is a third number 100.so,
11. What rate per cent is 6 paise of Rs. 1?
Sol:Rs. 1 = 100 paise
x×100/100 = 6
x = 6 × 100/100
x = 6%
12. The population of the town is 13,800 which was increased by 15% then find the population of the men . If the ratio of the men and women were 2:1?
13,800/115 × 100 = 12,000
2/3×12,000 = 8,000
13. If the price of a commodity be raised by 20%, find by how much per cent must a householder reduce his consumption of that commodity so as not to increase his expenditure?
Sol:14. Two numbers are 20% and 40% respectively more than a third number.
a) Find what percent is the first number of second ?b) Find what percent less than is the first of second ?
c) Find what percent more than is the second of first ?Sol:
Let there is a third number 100.so,
First = 120 and Second = 140
a) First of Second = 120/140 ×100 = 600/7 or 853/7 %
b) Difference = 140 - 120 = 20
b) Difference = 140 - 120 = 20
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