Question

6. If a number is increased by 20% and the resulting number is again increased by 20%, what percent is the total increase​

Answer 1

Answer:

40%

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Answer 2

Answer:

44%

Step-by-step explanation:

Let the number be 100.

First, 20% increase in 100

= (20% of 100) + 100

= 20 + 100 = 120

Second, 20% increase in 120

= (20% of 120) + 120

= 24 + 120

= 144

So, 144 is what percentage of the initial value 100 ?

100 = 100%

144 = ?

= (144×100) ÷ 100

= 144

Here 44 more than 100. So, total increase percentage is 44%

[OR]

Another Short Method for these kind of Problems, This formula is applicable for the following cases.

i) Both are gain or profit or increase (in %)

ii) Both are loss or decrease

iii) One is gain (or profit or increase) and another one is loss (or decrease)

± x ± y ± (xy/100)

('+' sign for Profit or Gain or Increase, and '-' sign for Loss or Decrease)

For this problem,

x = +20

y = +20    (Here, both percentage are increase)

= +20 +20 +[(20×20)÷100]

= 40 + (400/100)

= 40 + 4

= +44

It is positive value. So, 44% icrease