Certainly! Let's break down the steps required to solve this problem:
### (i) Calculate the cost of 'Pasminas' with 5% export tax
1. Calculate the initial total cost without tax:
Each piece of 'Nepali Pasmina' costs Rs 2,700.
The merchant purchased 500 pieces.
So, the initial total cost without tax is:
[tex]\[
\text{Initial Total Cost} = 500 \times 2700 = 1,350,000 \text{ NPR}
\][/tex]
2. Calculate the export tax:
The export tax rate is [tex]\(5\%\)[/tex].
So, the export tax amount is:
[tex]\[
\text{Export Tax} = 0.05 \times 1,350,000 = 67,500 \text{ NPR}
\][/tex]
3. Calculate the total cost with tax:
Adding the export tax to the initial total cost gives:
[tex]\[
\text{Total Cost with Tax} = 1,350,000 + 67,500 = 1,417,500 \text{ NPR}
\][/tex]
### (ii) Calculate the total revenue and profit/loss percent
1. Calculate the selling price per piece in NPR:
The selling price in the USA is \[tex]$35 per piece.
Given that \$[/tex]1 = 132 NPR, the selling price in NPR is:
[tex]\[
\text{Selling Price per Piece in NPR} = 35 \times 132 = 4,620 \text{ NPR}
\][/tex]
2. Calculate the total revenue:
The total revenue from selling 500 pieces is:
[tex]\[
\text{Total Revenue} = 500 \times 4,620 = 2,310,000 \text{ NPR}
\][/tex]
3. Calculate the profit/loss:
Subtract the total cost with tax from the total revenue to find the profit/loss:
[tex]\[
\text{Profit/Loss} = 2,310,000 - 1,417,500 = 892,500 \text{ NPR}
\][/tex]
Since the result is positive, it indicates a profit.
4. Calculate the profit/loss percent:
The profit/loss percent is given by:
[tex]\[
\text{Profit/Loss Percent} = \left(\frac{\text{Profit/Loss}}{\text{Total Cost with Tax}}\right) \times 100 = \left(\frac{892,500}{1,417,500}\right) \times 100 \approx 62.96\%
\][/tex]
### Summary of Results
1. The cost of 'Pasminas' with 5% export tax:
[tex]\[
1,417,500 \text{ NPR}
\][/tex]
2. The profit percent when sold at \$35 per piece:
[tex]\[
62.96\%
\][/tex]
