Answer :
To find the total amount of the father's property, let's follow these steps in detail:
1. Understanding the son's share:
- The person gave [tex]\(\frac{1}{3}\)[/tex] of his share to his son.
- The son's share is Rs 1,40,000.
2. Calculating the person's total share:
- If the son's share is [tex]\(\frac{1}{3}\)[/tex] of what the person received, we can calculate the person's total share by dividing the son's share by [tex]\(\frac{1}{3}\)[/tex].
- Thus, the person's share = [tex]\(\frac{1,40,000}{\frac{1}{3}} = 1,40,000 \times 3\)[/tex]
- This gives the person's share as Rs 4,20,000.
3. Relating the person's share to the father's property:
- The person received [tex]\(\frac{1}{4}\)[/tex] of the father's total property.
- We now know that [tex]\(\frac{1}{4}\)[/tex] of the father's property is Rs 4,20,000.
4. Calculating the total father's property:
- To find the total amount of the father's property, we multiply the person's share by 4.
- So, the father's total property = [tex]\(4,20,000 \times 4\)[/tex].
- This gives the total father's property as Rs 16,80,000.
Therefore, the father's total property was Rs 16,80,000.
1. Understanding the son's share:
- The person gave [tex]\(\frac{1}{3}\)[/tex] of his share to his son.
- The son's share is Rs 1,40,000.
2. Calculating the person's total share:
- If the son's share is [tex]\(\frac{1}{3}\)[/tex] of what the person received, we can calculate the person's total share by dividing the son's share by [tex]\(\frac{1}{3}\)[/tex].
- Thus, the person's share = [tex]\(\frac{1,40,000}{\frac{1}{3}} = 1,40,000 \times 3\)[/tex]
- This gives the person's share as Rs 4,20,000.
3. Relating the person's share to the father's property:
- The person received [tex]\(\frac{1}{4}\)[/tex] of the father's total property.
- We now know that [tex]\(\frac{1}{4}\)[/tex] of the father's property is Rs 4,20,000.
4. Calculating the total father's property:
- To find the total amount of the father's property, we multiply the person's share by 4.
- So, the father's total property = [tex]\(4,20,000 \times 4\)[/tex].
- This gives the total father's property as Rs 16,80,000.
Therefore, the father's total property was Rs 16,80,000.