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A person got [tex]$\frac{1}{4}$[/tex] part of his father's property. He gives [tex]$\frac{1}{3}$[/tex] of the amount to his son. If his son gets Rs [tex][tex]$1,40,000$[/tex][/tex], how much was the father's property?

Sagot :

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.