Let's solve the problem step-by-step.

1. Let the total worth of Pratik's property be $x$.

2. Pratik left one-third for his son: This means his son's share is $\frac{1}{3}x$.

3. Pratik left one-fourth for his daughter: This means his daughter's share is $\frac{1}{4}x$.

4. The remainder goes to his wife: The remainder can be calculated by subtracting the shares for the son and the daughter from the total property.

   • Son's share: $\frac{1}{3}x$
   • Daughter's share: $\frac{1}{4}x$
   • So, the total share left for his wife is: $\text{Wife's share} = x - \left( \frac{1}{3}x + \frac{1}{4}x \right)$
   • To combine these terms, first find a common denominator (which is 12): $\frac{1}{3}x = \frac{4}{12}x, \quad \frac{1}{4}x = \frac{3}{12}x$ $\frac{1}{3}x + \frac{1}{4}x = \frac{4}{12}x + \frac{3}{12}x = \frac{7}{12}x$ So, the wife’s share becomes: $\text{Wife's share} = x - \frac{7}{12}x = \frac{5}{12}x$

5. We are told that the wife's share is worth 10 lakh: $\frac{5}{12}x = 10 \text{ lakh}$

6. Solve for $x$: $x = \frac{10 \times 12}{5} = 24 \text{ lakh}$

Thus, the total worth of Pratik's property is 24 lakh.

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Would you like further details on this solution or have any questions? Here are some related questions:

1. How can you calculate the total worth of property if multiple fractions are given for different individuals?
2. What happens if the fractions don't add up to 1 (or 100%)? How would you handle that?
3. Can you use a similar approach for other types of inheritance problems (like percentages)?
4. How would this problem change if the wife received half of the property instead of a fraction of it?
5. If Pratik’s total property was divided into more shares, how would you approach finding each person’s share?

Tip: When dealing with fractions of a whole (like property, money, or resources), always check if the fractions add up to 1 (or 100%), and then calculate the remainder.