Let us consider '30 percent of 500'.

30 percent means the value 30 is considered for one hundred.

If 30 is the value considered for 100, what value can be considered for 500 ?

It can be calculated as follows.

**30 % x 500 = 0.3 x 500 = 150**

The picture given below clearly illustrates "How to find percentage of a number"

Here, the "Wh" question "what" has always to be replaced by some variable, say m.

Sometimes, we will have the above question in a different method. It has been illustrated in the picture given below.

**Problem 1 :**

What is 20% of 50 ?

**Solution :**

Let us replace "what" by some variable, say "m"

m = 20% 50

m = 0.2 ⋅ 50

m = 10

So, 20% of 50 is 10.

**Problem 2 :**

If 20% of 30 is equal to m% of 60, find the value of "m".

**Solution :**

From the given information, we can have

20% of 30 = m% of 60

0.2 ⋅ 30 = (m/100) ⋅ 60

6 = 3m / 5

5/3 ⋅ 6 = m

10 = m

So, the value of "m" is 10.

**Problem 3 :**

If m percent of 500 is 75, what is m% of 700 ?

**Solution :**

Our first aim is to get the value of "m"

**Given :** "m" percent of 500 is 75

(m/100) ⋅ 500 = 75

5m = 75

m = 15

**Target :** m% of 700

m% of 700 = 15 % of 700

= 0.15 ⋅ 700

= 105

So, m% of 700 is 105.

**Problem 4 :**

David gets 20% income on $5000 investment per year. At the same rate, what is his income in 3 years ?

**Solution :**

**Income for one year : **

20% of 5000 = 0.2 ⋅ 5000 = 1000

**Income for 3 years :**

= 3 ⋅ 1000

= 3000

So, David's income for 3 years is $3000.

**Problem 5 :**

John gets 15% income on $2500 investment per year. At the same rate, what is his income for 2.5 years ?

**Solution :**

**Income for one year : **

15% of 2500 = 0.15 ⋅ 2500 = 375

**Income of 2.5 years :**

= 2.5 ⋅ 375

= 937.50

So, John's income for 2.5 years is $937.50

**Problem 6 :**

A gets 30% income on $7500 investment per year. If B gets the same income on $12500 investment per year, what is the percentage of income of "B" ?

**Solution :**

Let "m" be the percentage of income of B

From the given information, we have

30% of 7500 = m% of 12500

0.3 ⋅ 7500 = (m/100) ⋅ 12500

2250 = 125m

2250/125 = m

18 = m

So, the percentage of income of B is 18%.

**Problem 7 :**

A trader gets 25% profit on all the products. If the cost price of a particular product is $350, find his profit.

**Solution :**

Given : 25% profit on all the products

So, profit on $350 = 25% ⋅ 350

= 0.25 ⋅ 350

= 87.5

So, the required profit is $87.50

**Problem 8 :**

A trader gets $6.25 profit on a product whose cost price is $125.

What is profit percentage ?

**Solution :**

Let "m" be the required percentage.

From the given information, we can have

m% of 125 = 6.25

(m/100) ⋅ 125 = 6.25

m = (6.25/125) ⋅ 100

m = 5

So, the profit percentage is 5%.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

**v4formath@gmail.com**

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**

**Sum of all three four digit numbers formed using 0, 1, 2, 3**

**Sum of all three four digit numbers formed using 1, 2, 5, 6**

HTML Comment Box is loading comments...