Let's solve the problem step-by-step:
1. Initial Amount:
Binod starts with Rs 2,000.
2. Lost Half of His Money:
Binod loses half of his money.
[tex]\[
\text{Amount left} = \frac{2000}{2} = 1000 \, \text{Rs}
\][/tex]
3. Gave [tex]$\frac{2}{5}$[/tex] to His Uncle:
Binod gave [tex]$\frac{2}{5}$[/tex] of the remaining money to his uncle.
[tex]\[
\text{Amount given to uncle} = \frac{2}{5} \times 1000 = 400 \, \text{Rs}
\][/tex]
4. After Giving to His Uncle:
The amount left after giving money to his uncle is:
[tex]\[
1000 - 400 = 600 \, \text{Rs}
\][/tex]
5. Gave [tex]$\frac{1}{4}$[/tex] to His Brother:
Binod gave [tex]$\frac{1}{4}$[/tex] of the remaining amount to his brother.
[tex]\[
\text{Amount given to brother} = \frac{1}{4} \times 600 = 150 \, \text{Rs}
\][/tex]
6. After Giving to His Brother:
The amount left after giving money to his brother is:
[tex]\[
600 - 150 = 450 \, \text{Rs}
\][/tex]
Final Answer:
The amount of money left with Binod after these transactions is Rs 450.
