Dividing a Quantity in a Given Ratio

Maths

example

Divide a given quantity in a given ratio

Step 1:
From the given question, identify the ratio in which the given quantity is to be divided.
Step 2:
Take a common multiple (say ) and find each part in terms of .
For eg: If we have to divide a number in two parts having ratio  then,
let the common multiple be .
Hence the two parts are and
Step 3
Apply the condition that ,
and find value of
Using the value of ,each part can be calculated

Example: Divide 105,such that the parts are in ratio
Solution:
Step 1:
We have to divide the number in ratio
Step 2:
Let the common multiple be
the parts are and
Step 3:
Sum of the two parts



Hence the parts are and