Auto revenue in June, July and August

Big Town Auto totaled $437,184 in revenue in August. August's revenue was 8% greater than July's revenue. July's revenue was 12% below the revenue for June. What was the revenue for June?

I couldn't seem to find a simple way to divide 437,184 by 8% to get July's revenue. So I started with that amount and worked to it until when I multiplied the July's revenue by 8% and added it back, it came to 437, 184. So here is what I got: July's revenue of $404,800. 404, 800 + 8% = 437,184.

Since June is 12% above July's revenue, I tried dividing 404,800 by 12% and of course it did not come out right. So I started working on the numbers logically. I got: 404,800 + 12% = 460,000. In figuring these numbers, I worked backwards part of the way. I saw that 460,000 minus 12% equals 404,800.

So I say the answer is $460,000 for the revenue of June.

Nekkamath said:

Big Town Auto totaled $437,184 in revenue in August. August's revenue was 8% greater than July's revenue. July's revenue was 12% below the revenue for June. What was the revenue for June?

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Here's one way of doing this exercise:

i) Pick a variable for June's revenue.

ii) Write an expression, in terms of (i), for July's revenue. (Note: If July is twelve percent below June, then July is 88% of June.)

iii) Write an expression, in terms of (ii), for August's revenue. (Note: If August is eight percent more than July, then August is 108% of July.)

iv) Set the expression in (iii) equal to the given revenue for August.

v) Solve for the variable from (i).

You should get the same answer as you have already found!

Eliz.

Thanks for your help. I appreciate it.