After selling 140 apples a fruit seller earns a profit equal to S.P. of 20 apples. His profit percentage is:

Options

A. 20%
B. 18.7%
C. 16.7%
D. 15.7%

Answer

To find the profit percentage of the fruit seller, we can follow these steps:

### Step 1: Understand the given information
The fruit seller sells 140 apples and earns a profit equal to the selling price of 20 apples.

### Step 2: Define the selling price (S.P.)
Let the selling price (S.P.) of 140 apples be Rs. 140.

### Step 3: Calculate the profit
The profit is equal to the selling price of 20 apples. Since the selling price of 140 apples is Rs. 140, we can find the selling price of 1 apple:
\[ \text{S.P. of 1 apple} = \frac{140}{140} = Rs. 1 \]
Thus, the selling price of 20 apples is:
\[ \text{S.P. of 20 apples} = 20 \times 1 = Rs. 20 \]
Therefore, the profit earned by the seller is Rs. 20.

### Step 4: Calculate the cost price (C.P.)
To find the cost price, we can use the formula:
\[ \text{C.P.} = \text{S.P.} - \text{Profit} \]
Substituting the values we have:
\[ \text{C.P.} = 140 - 20 = Rs. 120 \]

### Step 5: Calculate the profit percentage
The profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{C.P.}}\right) \times 100 \]
Substituting the profit and cost price:
\[ \text{Profit Percentage} = \left(\frac{20}{120}\right) \times 100 \]
Calculating this gives:
\[ \text{Profit Percentage} = \frac{20 \times 100}{120} = \frac{2000}{120} = \frac{200}{12} = \frac{50}{3} \approx 16.67\% \]

### Final Answer
The profit percentage of the fruit seller is approximately **16.67%**.

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