Store-wise sale of LaptopsStore January February March April May A 430 376 440 346 408 B 312 506 336 380 366 C 370 556 470 324 460 D 428 360 530 356 306 E 420 382 384 484 500
The question asks to find the approximate percentage by which the combined sales of laptops by Store D in February and May exceed the combined sales by Store B in January and March.
First, identify the sales figures from the provided table:
Calculate the total laptops sold by Store D in February and May:
$Total Sales (Store D)$ = Sales in Feb + Sales in May
$Total Sales (Store D)$ = $ 360 + 306 = 666 $ laptops
Calculate the total laptops sold by Store B in January and March:
$Total Sales (Store B)$ = Sales in Jan + Sales in Mar
$Total Sales (Store B)$ = $ 312 + 336 = 648 $ laptops
Now, calculate the percentage by which Store D's combined sales are more than Store B's combined sales. The formula for percentage increase is:
$Percentage Increase$ = $ \frac{\text{Sales}_D - \text{Sales}_B}{\text{Sales}_B} \times 100 $
Substitute the calculated values:
$Percentage Increase$ = $ \frac{666 - 648}{648} \times 100 $
$Percentage Increase$ = $ \frac{18}{648} \times 100 $
Simplify the fraction:
$Percentage Increase$ = $ \frac{1}{36} \times 100 $
$Percentage Increase$ = $ \frac{100}{36} $
$Percentage Increase$ $ \approx 2.777... \% $
Rounding the result to two decimal places gives approximately 2.78%. This matches option D.
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