Thursday 2 February 2012

Ratios and rates in Grade VI

Previously we have discussed about is a repeating decimal a rational number  and now we will discuss about the fundamentals of Ratios and Rates which comes under karnataka education board and merely describes that how a number is related to another number we will also understand how to do math questions related to it..

A simple representation of the ratio is given below

  A:B   or    A/B .

The ratio can be understood by the following example:

If we write 1:10 in a number system then we can say that the second number is 10 times greater than the first number.(Know more about Ratios in broad manner here,)

Example:

Determine the value of x if y=3 and their ratio is x:y=1:2

Then the solution is given below:

Step 1: divide the value of y  by their corresponding ratios = 3/2=1.5

Step 2: now multiply result by another number ratio value = 1.5*1=1.5

Step 3: then the final answer we obtain i.e. x=1.5.

Now we will discuss about the Rates.

Rates are a process of money calculation.

Rate is determined to weigh one quantity of different unit against another.

Suppose first person gives some of his money to second person for a particular fix time period. Then extra money is paid by the second person to the first person after that time period.

This extra money is known as Interest money and this can be calculated with the help of pre agreement percentages which are known as Rates.

This rate s concept can easily be understood by the following example:

Example:

Suppose Jerry gave 1000$ to Tom at the 10% rate for one year .Then what amount tom have to

pay to jerry?

Then the solution is 1000*10/100=100$

Thus at the end of the year, Jerry will have to pay total amount of $1100 to Tom.

This is the sufficient information to understand the concept of Ratio and Rates and if anyone want to know about Proportions then they can refer to Internet and text books for understanding it more precisely. You can also refer 7th Grade blog for further reading on Properties of lines.

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