Let's break down this problem step-by-step:
1. Initial Costs:
- Cost of Silver Fish:
Raji buys 120 kg of silver fish at ₹ 0.30 per kg.
[tex]\[
\text{Silver Fish Cost} = 120 \text{ kg} \times ₹ 0.30/\text{kg} = ₹ 36.0
\][/tex]
- Cost of Salt:
Raji uses 25 kg of salt for drying which costs ₹ 5 per kg.
[tex]\[
\text{Salt Cost} = 25 \text{ kg} \times ₹ 5/\text{kg} = ₹ 125.0
\][/tex]
2. Additional Costs:
- Packing and Transport Cost:
She spends ₹ 350 on packing and transport.
[tex]\[
\text{Packing and Transport Cost} = ₹ 350.0
\][/tex]
3. Total Costs:
To find the total cost incurred, we sum up the cost of the silver fish, the salt, and the packing and transport.
[tex]\[
\text{Total Cost} = \text{Silver Fish Cost} + \text{Salt Cost} + \text{Packing and Transport Cost}
\][/tex]
[tex]\[
\text{Total Cost} = ₹ 36.0 + ₹ 125.0 + ₹ 350.0 = ₹ 511.0
\][/tex]
4. Dried Fish Weight:
Fresh fish reduces to 1/4 of its original weight when dried. Therefore, the weight of the dried fish is:
[tex]\[
\text{Dried Fish Weight} = 120 \text{ kg} \times \frac{1}{4} = 30 \text{ kg}
\][/tex]
5. Selling Price of Dried Fish:
Raji sells the dried fish at ₹ 0.75 per kg. Thus, the selling price of the dried fish is:
[tex]\[
\text{Selling Price} = 30 \text{ kg} \times ₹ 0.75/\text{kg} = ₹ 22.5
\][/tex]
6. Profit or Loss:
Finally, to calculate the profit or loss, we subtract the total cost from the selling price.
[tex]\[
\text{Profit or Loss} = \text{Selling Price} - \text{Total Cost}
\][/tex]
[tex]\[
\text{Profit or Loss} = ₹ 22.5 - ₹ 511.0 = -₹ 488.5
\][/tex]
Since the result is negative, it indicates a loss.
### Conclusion:
Raji incurs a loss of ₹ 488.5.
