Let's analyze the problem given in the image:

Problem Analysis:

1. Ramesh gives one-fourth (1/4) of his property to his two sons in equal shares.
2. The rest of the property is given to his wife, Riya.
3. Riya donates one-third (1/3) of her share to an orphanage.
4. The amount donated by Riya is Rs. 20,000.
5. We need to find:
   • The total value of Ramesh's property.
   • The amount each person (two sons and Riya) received.
   • The value shown by Riya.

Solution:

Let's denote the total value of Ramesh's property as $x$.

1. Amount given to the sons:

   • Ramesh gives $\frac{1}{4}$ of his property to his two sons.
   • Therefore, the amount given to the two sons is $\frac{x}{4}$.
   • Each son receives half of this amount: $\text{Amount received by each son} = \frac{x}{4} \times \frac{1}{2} = \frac{x}{8}$

2. Amount given to Riya:

   • The remaining property, after giving one-fourth to the sons, is given to Riya: $\text{Amount given to Riya} = x - \frac{x}{4} = \frac{3x}{4}$

3. Amount donated by Riya:

   • Riya donates one-third of her share to an orphanage: $\text{Amount donated by Riya} = \frac{1}{3} \times \frac{3x}{4} = \frac{x}{4}$
   • We are given that this amount is Rs. 20,000: $\frac{x}{4} = 20000$

4. Finding the total value of the property:

   • Solving for $x$: $x = 20000 \times 4 = 80000$

So, the total value of Ramesh's property is Rs. 80,000.

Amount Each Person Got:

• Each son:
  $\frac{x}{8} = \frac{80000}{8} = 10000 \, \text{Rs.}$

• Riya:
  $\frac{3x}{4} = \frac{3 \times 80000}{4} = 60000 \, \text{Rs.}$

• Amount donated by Riya to orphanage: Rs. 20,000.

Value Shown by Riya:

Riya shows generosity and social responsibility by donating one-third of her share to the orphanage.

Summary:

• Total value of Ramesh's property: Rs. 80,000
• Amount received by each son: Rs. 10,000
• Amount received by Riya: Rs. 60,000
• Amount donated by Riya: Rs. 20,000
• Value shown by Riya: Generosity and Social Responsibility

Would you like more details or have any questions?

Additional Related Questions:

1. What is the percentage of the total property that Riya received?
2. How much property did Ramesh initially intend to give to each individual?
3. What is the difference in amount received between Riya and each son?
4. If Ramesh had given half of his property to Riya instead, what would each person have received?
5. How would the amounts change if Riya decided to donate half of her share instead?

Tip: Understanding proportions and fractions is key to solving similar real-world problems involving division of assets or wealth.