When fresh fish is dried, it becomes one-third its weight. Savi bought 2709 kg of fresh fish at the rate of Rs 27 per kg and, when dried, she sold them at Rs 97.5 per kg. She earned in all

Options

A. A)Rs 15874.5
B. B)Rs 14709.5
C. C)Rs 14789.5
D. D)Rs 14899.5

Answer

To solve the problem step by step, we will calculate the cost price, the selling price, and then determine the profit earned by Savi.

### Step 1: Calculate the Cost Price (CP)
Savi bought 2709 kg of fresh fish at the rate of Rs 27 per kg.

\[ \text{Cost Price (CP)} = \text{Weight of fish} \times \text{Rate per kg} \]
\[ \text{CP} = 2709 \, \text{kg} \times 27 \, \text{Rs/kg} \]
\[ \text{CP} = 73143 \, \text{Rs} \]

### Step 2: Calculate the Weight of Dried Fish
When the fish is dried, it becomes one-third of its original weight.

\[ \text{Weight of dried fish} = \frac{1}{3} \times \text{Weight of fresh fish} \]
\[ \text{Weight of dried fish} = \frac{1}{3} \times 2709 \, \text{kg} = 903 \, \text{kg} \]

### Step 3: Calculate the Selling Price (SP)
Savi sells the dried fish at Rs 97.5 per kg.

\[ \text{Selling Price (SP)} = \text{Weight of dried fish} \times \text{Rate per kg} \]
\[ \text{SP} = 903 \, \text{kg} \times 97.5 \, \text{Rs/kg} \]
\[ \text{SP} = 88242.5 \, \text{Rs} \]

### Step 4: Calculate the Profit
Profit is calculated by subtracting the cost price from the selling price.

\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
\[ \text{Profit} = 88242.5 \, \text{Rs} - 73143 \, \text{Rs} \]
\[ \text{Profit} = 15099.5 \, \text{Rs} \]

### Final Answer
Savi earned a profit of Rs 15099.5.

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