Mr Gupta left One by fourth of his property to his son and one by three to his wife and remaining to his daughter if she is of his daughter is 180000 Find the total value?

To find the total value of Mr Gupta's property, we need to follow these steps:

1. Determine the fraction of the property left to each family member:
- Mr Gupta left one-fourth (1/4) of his property to his son.
- Mr Gupta left one-third (1/3) of his property to his wife.
- The remaining fraction of the property is left to his daughter if she exists.

2. Calculate the value of the property left to each family member:
- Let's assume the total value of Mr Gupta's property is 'x'.
- The value left to his son is (1/4) * x.
- The value left to his wife is (1/3) * x.

3. Determine the value left to his daughter if she exists:
- If the daughter exists, the remaining fraction of the property will be left to her.
- The remaining fraction is (1 - 1/4 - 1/3) = (12 - 3 - 4) / 12 = 5/12.
- So, the value left to the daughter, if she exists, is (5/12) * x.

4. Calculate the total value of the property:
- According to the question, the value left to the daughter is 180000.
- So, we can set up the equation (5/12) * x = 180000 and solve for 'x'.

Now, let's solve the equation:

(5/12) * x = 180000
Multiplying both sides by 12 to eliminate the fraction:
5x = 180000 * 12
5x = 2160000
Dividing both sides by 5:
x = 432000

Therefore, the total value of Mr Gupta's property is 432000.

Summary:
Mr Gupta left one-fourth of his property to his son, one-third of his property to his wife, and the remaining fraction to his daughter if she exists. If the value left to the daughter is given as 180000, we can calculate the total value of Mr Gupta's property by setting up an equation and solving for 'x'. In this case, the total value of the property is found to be 432000.

Mr Gupta left One by fourth of his property to his son and one by three to his wife and remaining to his daughter if she is of his daughter is 180000
Find the total value