Problem

\# The current price of $\$ 41.99$ for a monthly cellphone rate plan is $105 \%$ of last year's rate plan. There are currently 34,543 subsurbus to the plan, which is $98 \%$ of Last Year. Express the current total revenue as a percentage of last year's total revenue.

Answer

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Answer

So, the current total revenue is $\boxed{102.9\%}$ of last year's total revenue.

Steps

Step 1 :Let's denote the last year's rate plan as $x$ and the number of subscribers last year as $y$. According to the problem, we have $41.99 = 1.05x$ and $34543 = 0.98y$.

Step 2 :From the first equation, we can solve for $x$ to get $x = \frac{41.99}{1.05}$.

Step 3 :Similarly, from the second equation, we can solve for $y$ to get $y = \frac{34543}{0.98}$.

Step 4 :The total revenue for this year is the product of the rate plan and the number of subscribers, which is $41.99 \times 34543$.

Step 5 :The total revenue for last year is also the product of the rate plan and the number of subscribers, which is $x \times y$.

Step 6 :We can express the current total revenue as a percentage of last year's total revenue by dividing the current total revenue by last year's total revenue and then multiplying by 100. That is, $\frac{41.99 \times 34543}{x \times y} \times 100$.

Step 7 :Substitute $x = \frac{41.99}{1.05}$ and $y = \frac{34543}{0.98}$ into the above equation, we get $\frac{41.99 \times 34543}{\frac{41.99}{1.05} \times \frac{34543}{0.98}} \times 100$.

Step 8 :Simplify the above equation, we get $1.05 \times 0.98 \times 100$.

Step 9 :So, the current total revenue is $\boxed{102.9\%}$ of last year's total revenue.

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