Question

A picture on a page was reduced on a copier to 60% of its original size, and this copy was
then reduced by 20%. What percent of the size of the original picture was the final copy?
a) 12 %
b) 20 %
c) 40%
g) 48%​

Answer 1

Answer: a. 12%

Step-by-step explanation:

Assume original picture as 100

Then, 60% 100 =60

Again, reduced 20% of 60 = 12%

Answer 2

g) 48%​

48% of the original picture was the final copy.

Explanation:

Let x denotes the size of the original copy.

Given : A picture on a page was reduced on a copier to 60% of its original size.

Then , the size of copier = 60% of original size

= 0.60x  [We convert percent into decimal by dividing it by 100]

After that copy was  reduced by 20%.

Then, the new size = (size of copier)-20% of (size of copier)

= (0.60x )-(0.20) x (0.60x )

= 0.60x (1-0.20)

= 0.60x (0.80)

= 0.48x

Now , the percent of the size of the original picture was the final copy

$=\dfrac{\text{New size}}{\text{Original size }}\times100\\\\=\dfrac{0.48x}{x}\times100=0.48\times100=48\%$

Hence, 48% of the original picture was the final copy.

Thus , the correct answer is g) 48%​

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