In the last financial year, a car company sold 41,800 cars. In this year, the target is to sell 51,300 cars. By what per cent must the sale be increased?

Options

A. 11 `9/22` %
B. 8 `9/22` %
C. 8 `11/23` %
D. 22 `8/11` %

Answer

To find the percentage increase in car sales from last year to this year, we can follow these steps:

### Step 1: Identify the values
- Last year's sales = 41,800 cars
- This year's target sales = 51,300 cars

### Step 2: Calculate the increase in sales
To find the increase in sales, we subtract last year's sales from this year's target sales:
\[ \text{Increase in sales} = \text{This year's sales} - \text{Last year's sales} = 51,300 - 41,800 \]
\[ \text{Increase in sales} = 9,500 \text{ cars} \]

### Step 3: Calculate the percentage increase
To find the percentage increase, we use the formula:
\[ \text{Percentage Increase} = \left( \frac{\text{Increase in sales}}{\text{Last year's sales}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage Increase} = \left( \frac{9,500}{41,800} \right) \times 100 \]

### Step 4: Perform the division
Now we calculate the division:
\[ \frac{9,500}{41,800} \approx 0.227 \]

### Step 5: Multiply by 100 to get the percentage
Now, we multiply by 100 to convert it into a percentage:
\[ \text{Percentage Increase} \approx 0.227 \times 100 \approx 22.7\% \]

### Step 6: Final answer
Thus, the percentage by which the sales must be increased is approximately **22.7%**.

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