# 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 ?

Last updated date: 18th Mar 2023

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Answer

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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.

Complete step-by-step answer:

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.

Complete step-by-step answer:

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.

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