Question

# A man leaves behind a will wherein he wishes his wealth of Rs. 72 lakhs to be divided among wife , son and daughter in the ratio 3:2:1 What is the sum of money his wife gets ?

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Hint- In order to solve this question , we have to use the ratio and proportion method to calculate the sum of money his wife gets. Assume a variable $x$ to write the amount of money received by each one according to their ratio.

In this question we have to calculate the wealth A man leaves behind for his wife from the ratio 3:2:1.
Step 1- Calculate the sum of the ratios-
Let the sum of ratios is $x$
3$x$+2$x$+1$x$=6$x$ (equation 1)
Step 2- Calculate the value of$x$-
6$x$=72 lakhs.
$\Rightarrow$ x = $\dfrac{{72}}{6}$ = 12 lakhs
So, the value of $x$ is 12 lakhs.
Put the value of $x$ in equation 1-
3$x$= 3$\times$12 = 36 (lakhs)
2$x$=2$\times$ 12 = 24 (lakhs)
1$x$=1$\times$ 12 = 12 (lakhs).
The wife will get the amount of Rs. 36 lakhs.

Note- Whenever we face such types of problems, the key concept is that we have to use the ratio and proportion method . First we will take the sum of the ratios, we will mark it as (equation 1 ) like we did in the question after that we will calculate the value of $x$. By calculating the value of $x$ and putting the value of $x$ in equation 1 we will get our required answer.