A fruit-seller had some apples he sells 40% of them and still has 420 apples. How many apples had he in all ?

Options

A. 588
B. 600
C. 700
D. 725

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the problem
The fruit seller sells 40% of his apples and has 420 apples left. We need to find out how many apples he originally had.

### Step 2: Let the total number of apples be represented by a variable
Let’s denote the total number of apples the fruit seller had as \( x \).

### Step 3: Calculate the percentage of apples sold
If the fruit seller sells 40% of his apples, then the amount sold can be expressed as:
\[ \text{Apples sold} = 40\% \text{ of } x = \frac{40}{100} \times x = 0.4x \]

### Step 4: Determine the number of apples remaining
The number of apples remaining after selling 40% is:
\[ \text{Apples remaining} = x - \text{Apples sold} = x - 0.4x = 0.6x \]

### Step 5: Set up the equation
According to the problem, the number of apples remaining is 420. Therefore, we can set up the equation:
\[ 0.6x = 420 \]

### Step 6: Solve for \( x \)
To find \( x \), we can divide both sides of the equation by 0.6:
\[ x = \frac{420}{0.6} \]

Calculating the right side:
\[ x = 420 \div 0.6 = 700 \]

### Step 7: Conclusion
The total number of apples the fruit seller originally had is \( 700 \).

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