Question 74

A number is increased by 30%, then decreased by 30%, then further decreased by 30%. What is the net increase/decrease percent in the number(correct to the nearest integer)?

Solution

Let the number is 100

First, Increased by 30% = $$\frac{130}{100} \times 100 = 130$$

Then, decreased by 30% = $$\frac{70}{100} \times 130 = 91$$

Then further decreased by 30% = $$\frac{70}{100} \times 91 = 63.7$$

So change = $$63.7-100=-36.3$$ or $$36.3$$ % decrease.

$$\therefore$$ change % = $$36$$% decrease (nearest integer)

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