It is known that 6% of the mangoes are rotten. If the number of rotten mangoes is 54, then the total number of mangoes is

Options

A. 900
B. 950
C. 1010
D. 1040

Answer

To find the total number of mangoes when 6% of them are rotten and the number of rotten mangoes is given as 54, we can follow these steps:

### Step 1: Define the total number of mangoes
Let the total number of mangoes be represented by \( x \).

### Step 2: Set up the equation based on the percentage
We know that 6% of the total mangoes are rotten. Therefore, we can express this as:
\[ 6\% \text{ of } x = 54 \]
This can be written mathematically as:
\[ \frac{6}{100} \times x = 54 \]

### Step 3: Simplify the equation
To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ 6x = 54 \times 100 \]

### Step 4: Calculate the right side
Now, calculate \( 54 \times 100 \):
\[ 54 \times 100 = 5400 \]
So, the equation now becomes:
\[ 6x = 5400 \]

### Step 5: Solve for \( x \)
Next, divide both sides by 6 to find \( x \):
\[ x = \frac{5400}{6} \]

### Step 6: Perform the division
Now, calculate \( \frac{5400}{6} \):
\[ 5400 \div 6 = 900 \]

### Conclusion
Thus, the total number of mangoes is:
\[ \text{Total number of mangoes} = 900 \]