Question

A shopkeeper has a box that contains 480 pens and

320 pencils.

What is the DIFFERENCE between the percentage of pens and

pencils in the box?


A. 16.00%

B. 20.00%

C. 33.33%

D. 83.33%​

Answer 1

Answer:

b 20% is the correct one.

Answer 2

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To find percentage difference.

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Given :

• A box contains 480 pens and 320 pencils.

• To find percentage difference ?

Then ,

To find total :

( Add the given number of pens and pencils )

• Pen - 480

• pencil - 320

• Total = 480+320

• = 800

To find Percentage :

$\bf \: \% \: = \: \frac{given \: number}{total} \times 100$

$\sf \: percentage \: of \: pens : -$

$\longrightarrow \sf \: pens \: = 480 \\ \\ \longrightarrow\sf total \: = 800 \\ \\ \longrightarrow \sf \small\small \frac{480}{800} \times 100 \\ \\ \longrightarrow\sf \: 0.6 \times 100 \\ \\ \longrightarrow\sf \: 60\% \\ \\ \bf \: percentage \: of \: pens \: = 60\%$

$\sf \: percentage \: of \: pencils: -$

$\sf\longrightarrow \: pencils \: = 320 \\ \\ \sf\longrightarrow \: total \: = 800 \\ \\ \longrightarrow \sf \frac{320}{800} \times 100 \\ \\ \longrightarrow \sf \: 0.4 \times 100 \\ \\ \longrightarrow \sf 40\%$

$\bf \: percentage \: of \: pencils \: = 40\%$

Difference :

$\sf \: Percentage\: of \: pens - Percentage \: of \: Pencils$

$\sf \: = > 60 - 40 \\ \\\sf = > 20$

So, the difference is 20%.

( opt. b. = 20.00% )