We often share things in our daily life — like chocolates among friends, money among team members, or work among people. When we share equally, everyone gets the same amount. But sometimes, we share unequally, depending on some condition (like work done, marks scored, or money invested).
Now, let us see how to share the things using ratio.
Procedure for unequal sharing (in a ratio)
Step 1: If the given ratios are \(a : b: c: ...\), then add the total parts as \(a + b + c + ...\)
Step 2: Divide the total amount by total parts to get the value of one part.
\(\text{Value of one part} = \frac{\text{Total amount}}{\text{Total parts}}\)
Step 3: Multiply the value of one part by each person's part in the ratio.
\(\text{Share of the person} \ 'a' = \ 'a' \times \text{Value of one part}\)
Example:
Share \(₹ 600\) in the ratio of \(3 : 5\).
Solution:
Total parts \(= 3 + 5 = 8\)
First share \(=\) \(\frac{600}{8} \times 3 = ₹225\)
Second share \(=\) \(\frac{600}{8} \times 5 = ₹375\)
Important!
If you add each part of share, it must be equal to the total amount.