## Que: The trader first decreased the selling price of a car by 30 percent and then increased by 30 percent.....

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### Que: The trader first decreased the selling price of a car by 30 percent and then increased by 30 percent.....

by [email protected] Revolution » Fri Jul 16, 2021 8:59 am

00:00

A

B

C

D

E

## Global Stats

Que: The trader first decreased the selling price of a car by 30 percent and then increased by 30 percent. Which of the following represents the final percent change in the selling price of the bicycle?

(A) 9% less
(B) 0%
(C) 9% more
(D) 91% less
(E) 91% more

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### Re: Que: The trader first decreased the selling price of a car by 30 percent and then increased by 30 percent.....

by [email protected] Revolution » Sat Jul 17, 2021 9:19 pm
Solution: Let us apply the IVY approach to solve the question. As we are dealing with percentage, then let the original price of a car be $100. Price after price reduced by 30%: (100 - 30)% of$100

=> $$\frac{70}{100}\cdot100=70$$

Price after the new price increased by 30%: (100 + 30)% of $70 => $$\frac{130}{100}\cdot70=91$$ As the base price is$100, the final price would be 91% of the base price.

Since Percent change = $$\frac{After\ -\ Before}{Before}\cdot100\%$$ and $100 (Before) and$91 (After),

We get Percent change = $$\frac{91\ -\ 100}{100}\cdot100\%=\frac{-9}{100}\cdot100\%=-9\%$$

Therefore, A is the correct answer.