The cost price of 15 dozen mangoes is Rs. 1335 and the selling price of 5 dozen mangoes is Rs. 495, then find Profit/Loss%.

Options

A. (1000/89)% profit
B. 12% Loss
C. 15% profit
D. (100/9)% loss

Answer

To find the Profit/Loss percentage, we need to first determine the Cost Price (CP) and Selling Price (SP) of the same quantity of mangoes. Here’s how we can solve the problem step by step:

### Step 1: Calculate the Cost Price (CP) of 1 dozen mangoes
The total cost price of 15 dozen mangoes is Rs. 1335.

\[ \text{CP of 1 dozen} = \frac{\text{Total CP}}{\text{Number of dozens}} = \frac{1335}{15} \]

Calculating this gives:

\[ \text{CP of 1 dozen} = 89 \]

### Step 2: Calculate the Selling Price (SP) of 1 dozen mangoes
The selling price of 5 dozen mangoes is Rs. 495.

\[ \text{SP of 1 dozen} = \frac{\text{Total SP}}{\text{Number of dozens}} = \frac{495}{5} \]

Calculating this gives:

\[ \text{SP of 1 dozen} = 99 \]

### Step 3: Calculate the Profit or Loss
Now, we can find the profit or loss per dozen.

\[ \text{Profit/Loss} = \text{SP} - \text{CP} = 99 - 89 = 10 \]

Since the selling price is greater than the cost price, we have a profit.

### Step 4: Calculate the Profit Percentage
Profit percentage is calculated using the formula:

\[ \text{Profit \%} = \left(\frac{\text{Profit}}{\text{CP}} \times 100\right) \]

Substituting the values we have:

\[ \text{Profit \%} = \left(\frac{10}{89} \times 100\right) \approx 11.24\% \]

### Final Answer
The profit percentage is approximately **11.24%**.

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