Question

Mother wants to divide Rs $36$ between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is $15$ years and age of Bhoomika is $12$ years, find how much Shreya and Bhoomika will get.

Answer 1

Step 1: Calculate the ratio of ages of Shreya and Bhoomika.

The age of Shreya is $15$ years and the age of Bhoomika is $12$ yrs.

So, the ratio of the ages is

$\begin{array}{l}\frac{15}{12}\\ =\frac{5}{4}\end{array}$

Step 2: Calculate the amount received by Shreya.

The total amount available is Rs $36$.

Therefore, the total amount received by Shreya:

$\begin{array}{l}\frac{5}{5+4}\times 36\\ =\frac{5}{9}\times 36\\ =5\times 4\\ =20\end{array}$

Step 3: Calculate the amount received by Bhoomika.

The total amount available to the mother is Rs $36$.

Therefore, the total amount received by Bhoomika:

$\begin{array}{l}\frac{4}{5+4}\times 36\\ =\frac{4}{9}\times 36\\ =4\times 4\\ =16\end{array}$

Hence, the amount received by Shreya and Bhoomika are Rs $20$ and Rs $16$ respectively.