Surendra has a property having a

certain value. He gives 60% of his

property of his wife. 75% of the

remaining property to his daughter,

and the rest to a trust. If he give

property worth Rs. 6,00,000 to the

trust, find the worth of the share of

the property he gives to his

daughter.

Let's break the problem down step by step:

1. **Let the total value of Surendra's property be \( x \).**
   
2. **He gives 60% of his property to his wife.**  
   This means the remaining property is:
   \[
   \text{Remaining property} = 100\% - 60\% = 40\% \text{ of } x
   \]
   So, the remaining property is \( 0.4x \).

3. **He gives 75% of the remaining property to his daughter.**  
   This means the amount given to his daughter is:
   \[
   \text{Daughter's share} = 75\% \text{ of } 0.4x = 0.75 \times 0.4x = 0.3x
   \]

4. **The rest is given to a trust.**  
   The amount left for the trust is:
   \[
   \text{Trust's share} = 25\% \text{ of } 0.4x = 0.25 \times 0.4x = 0.1x
   \]
   According to the problem, Surendra gives Rs. 6,00,000 to the trust. Therefore:
   \[
   0.1x = 6,00,000
   \]
   
5. **Now, solve for \( x \):**
   \[
   x = \frac{6,00,000}{0.1} = 60,00,000
   \]
   So, the total value of Surendra's property is Rs. 60,00,000.

6. **Find the share given to his daughter:**  
   We know the daughter receives \( 0.3x \). Therefore, the daughter's share is:
   \[
   \text{Daughter's share} = 0.3 \times 60,00,000 = 18,00,000
   \]

### Answer: The worth of the share of the property given to his daughter is Rs. 18,00,000.

Would you like more details or have any questions about this? 

Here are 5 related questions for further exploration:
1. What percentage of his property did Surendra give to the trust?
2. How much property did Surendra give to his wife in rupees?
3. What is the total property distributed to the wife and the daughter?
4. If the property value increases by 10%, how much more would the trust receive?
5. What fraction of the property did Surendra keep for himself?

**Tip:** Breaking down a problem into percentages and fractions can help make complex financial problems easier to solve.

Surendra has a property having a certain value. He gives 60% of his property to his wife. 75% of the remaining property to his daughter, and the rest to a trust. If he gives property worth Rs. 6,00,000 to the trust, find the worth of the share of the property he gives to his daughter.

Learn how to calculate the daughter's share of property in a scenario where Surendra gives 60% to his wife, 75% of the remaining to his daughter, and Rs. 6,00,000 to a trust. This problem covers key concepts like percentages, algebra, and proportions. Suitable for students in Grades 6-8.

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