Question

14. The price of an article is increased by 20% and afterwards it is decreased by 20%. Find the overall % change. (a) 40% dec (b). No change (c) 4% dec (d) 9% inc (e) None of these​

Answer 1

Answer:

so let x be the price of the article.

first it increased by 20%

==> new price = x+(x*20%) ==> x+(x/5) => 6x/5

now it decreases by 20% ==> (6x/5)-((6x/5)*20%)

=>6x/5 -6x/25 ==> 24x/25 .

now overa.change =( x-(24x/25))*100% ==> 100x/25 ==> 4% dec .

Answer 2

Answer:

c) 4% decrease

Step-by-step explanation:

Let the price of the article be ₹100

then after 20% increase the price

= ₹120

20% of 120 = 24

subtract 24 from 120

= 120-24= ₹94

this means that the overall chang e in the price is 4rupees

hence we have considered the price of the article as 100 the decrease in price is also 4rupees

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