## 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

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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 Math Revolution

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[Course] Starting $79 for on-demand and$60 for tutoring per hour and $390 only for Live Online. Email to : [email protected] Elite Legendary Member Posts: 3991 Joined: 24 Jul 2015 Location: Las Vegas, USA Thanked: 19 times Followed by:36 members ### 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. Answer A Math Revolution The World's Most "Complete" GMAT Math Course! Score an excellent Q49-51 just like 70% of our students. [Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions. [Course] Starting$79 for on-demand and $60 for tutoring per hour and$390 only for Live Online.
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