Ratio and Proportion

Ratio  and Proportion 

basic maths and these are the basic maths question.

Ratio: It is a number which has a numerator and denominator.

                It is also like a fraction.

               e.g)1:2 , 4:8

1. The ratio for cooking rice is one cup of rice to two cups of water; but for cooking many kinds of beans, it is one cup of beans to two and a half cups of water.

   
   

   we write Ratio mathematically, there are three specific ways :
2. 
   
3. 1)colon
4. 2)fraction
5. 3)"to" (sentence) between two numbers.
6. 
   

Ratio problems: 

Example 1:

In a bag of red and green balls, the ratio of red ball to the green ball is 3:4. If the bag contains 120 green balls, how many red balls are there?

Solution:

Step 1: 

Let x = red sweets

Write the items in the ratio as a fraction.

Step 2: Solve the equation

cross multiply

3 × 120 = 4 × x360 = 4x

This is basic maths formulas for ladies too. It is majorly used in cooking.

Proportion: It is equal to two fractional numbers.

It is related to ratios in which the two ratios are equal to each other. 

e.g)

1)  1:2 is equal to 4:8 =     1/2   = 4/8 (it is divide by 4 table)

Proportion says that two ratios (or fractions) are equal.

Example: 1/3 = 2/6

See: Equivalent Fractions

Example: The sale price of a phone was 150, which was only rs.80  the normal price. What was the normal price?

150Whole = 80100

cross Multiply it   and then divide by the third number:

Whole = (150 × 100) / 80
= 15000 / 80
= 187.50

Answer: the phone's normal price was 187.50

 The  proportion is majorly used in % problems.(basic maths percentages).