Question 83

A mobile company that sells two models ACN-I and ACN-II of mobile, reported that路revenues from ACN-I in 2016 were down 12% from 2015 and revenue from ACN-II sales in 2016 were up by 9% from 2015. If the total revenues from sales of both the mobile models ACN-I and ACN-II in 2016 were up by 3% from 2015, what is the ratio of revenue from ACN-I sales in 2015 to revenue from ACN-II sales in 2015?

Solution

Let's assume that revenue reported from ACN-I and ACN-II sales in 2015 be X and Y respectively.

So revenue generated from ACN-I sales in 2016 = $$X(1- \frac{12}{100})$$ =$$0.88X$$

Similarly revenue generated from ACN-II sales in 2016 = $$Y(1+ \frac{9}{100})$$ =$$1.09Y$$

聽 聽 聽 聽 聽 聽 聽 聽 聽 聽$$0.88X$$ +聽$$1.09Y$$ = $$(X+Y)(1+\frac{3}{100})$$

聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 $$0.88X$$ +聽$$1.09Y$$ = 聽 聽聽$$1.03X$$ +聽$$1.03Y$$

聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 $$6Y = 15X$$

聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽 聽$$\frac{X}{Y}$$ = $$\frac{2}{5}$$


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