Math Problem Statement
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.
Solution
Let's break the problem down step by step:
-
Let the total value of Surendra's property be .
-
He gives 60% of his property to his wife.
This means the remaining property is: So, the remaining property is . -
He gives 75% of the remaining property to his daughter.
This means the amount given to his daughter is: -
The rest is given to a trust.
The amount left for the trust is: According to the problem, Surendra gives Rs. 6,00,000 to the trust. Therefore: -
Now, solve for : So, the total value of Surendra's property is Rs. 60,00,000.
-
Find the share given to his daughter:
We know the daughter receives . Therefore, the daughter's share is:
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:
- What percentage of his property did Surendra give to the trust?
- How much property did Surendra give to his wife in rupees?
- What is the total property distributed to the wife and the daughter?
- If the property value increases by 10%, how much more would the trust receive?
- 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.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Percentages
Algebra
Proportions
Formulas
Remaining property = 100% - Wife's share
Daughter's share = 75% of remaining property
Trust's share = 25% of remaining property
Total property = Trust's share / 0.1
Theorems
-
Suitable Grade Level
Grades 6-8