A fruit vendor buys 30 oranges for 187.50. At what price did he sell each orange to get a profit of 12% ?

Options

A. 6.72
B. 6.52
C. 6.62
D. 6.82

Answer

To solve the question step by step, we will follow these calculations:

### Step 1: Calculate the Cost Price (CP) of One Orange
The total cost for 30 oranges is given as 187.50. To find the cost price of one orange, we divide the total cost by the number of oranges.

\[ \text{Cost Price of one orange} = \frac{\text{Total Cost}}{\text{Number of Oranges}} = \frac{187.50}{30} \]

Calculating this gives:

\[ \text{Cost Price of one orange} = 6.25 \]

### Step 2: Calculate the Selling Price (SP) for a 12% Profit
To find the selling price that includes a profit of 12%, we need to calculate 12% of the cost price and add it to the cost price.

First, calculate 12% of the cost price:

\[ \text{Profit} = 12\% \text{ of } 6.25 = \frac{12}{100} \times 6.25 = 0.75 \]

Now, add this profit to the cost price to find the selling price:

\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} = 6.25 + 0.75 = 7.00 \]

### Conclusion
The selling price of each orange to achieve a profit of 12% is **7.00**.

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