Question

A Numbers changes from-20 to 30 . what is the increase or decrease in the number

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Answer 1

Answer:

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Step-by-step explanation:

A number changes from = - 20 to 30

⇒ - 20 – 30 = - 50

∴ - 50, it will be increases.

Answer 2

Answer:

PERCENTAGE INCREASE:

(30-20)/20 = 10/20 = 1/2 = 0.5 = 50%. So an increase from 20 to 30 is an increase of 50% (of the initial value of 20).

PERCENTAGE DECREASE:

(20–30)/30 = (-10)/30 = -1/3 = -0.3333…. = -(33+1/3)% = -33.3333….%. So an decrease from 30 to 20 is a decrease of (33+1/3))% (of the initial value of 30).

So while the absolute change is the same (10) in both cases, the percentage increase is greater than the percentage decrease.

This is obviously a consequence of the fact that in the case of the increase, the change of 10 is a percentage of a lower number (20) than it is in the case of the decrease (30). In fact, the ratio of the percentage increase to the percentage decrease is equal to the ratio of the higher number to the lower number;

Percentage increase / percentage decrease

=5%/[(3+1/3)%]

= 5/(3+1/3)

= 5/(9/3+1/3)

= 5/[(9+1)/3] = 5/(10/3)

= 5×3/10

= 3/3

= 1.5 .

Higher number / lower number

= 30/20

= 3/2

= 1.5

Step-by-step explanation:

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