Let's solve the problem step-by-step to find Mohan's total income and the amounts received by his wife and son.
### Step 1: Determine Mohan's total income
From the problem, we know that Mohan's daughter received [tex]\(\frac{1}{4}\)[/tex] (one quarter) of his total income and this amount is Rs. 15,000.
Let's denote Mohan's total income by [tex]\(I\)[/tex].
The amount given to his daughter is:
[tex]\[
\frac{1}{4} I = 15,000
\][/tex]
To find [tex]\(I\)[/tex], we can solve for it:
[tex]\[
I = 15,000 \times 4
\][/tex]
Calculating the value:
[tex]\[
I = 60,000
\][/tex]
So, Mohan's total income is Rs. 60,000.
### Step 2: Calculate the amount received by the wife
Mohan gave [tex]\(\frac{2}{5}\)[/tex] of his income to his wife. Using the total income [tex]\(I = 60,000\)[/tex]:
The amount given to his wife is:
[tex]\[
\frac{2}{5} I = \frac{2}{5} \times 60,000
\][/tex]
Calculating the value:
[tex]\[
\frac{2}{5} \times 60,000 = 24,000
\][/tex]
So, Mohan's wife received Rs. 24,000.
### Step 3: Calculate the amount received by the son
Mohan gave [tex]\(\frac{1}{3}\)[/tex] of his income to his son. Using the total income [tex]\(I = 60,000\)[/tex]:
The amount given to his son is:
[tex]\[
\frac{1}{3} I = \frac{1}{3} \times 60,000
\][/tex]
Calculating the value:
[tex]\[
\frac{1}{3} \times 60,000 = 20,000
\][/tex]
So, Mohan's son received Rs. 20,000.
### Summary
- Mohan's total income: Rs. 60,000
- Amount received by his wife: Rs. 24,000
- Amount received by his son: Rs. 20,000
