SOLUTION: Division, April Sales, % Increase Over March Parts, $1100.00, 10% Services, $70,000, 25% What was the combined sales revenue in March for the Parts and Ser

Question 314289: Division, April Sales, % Increase Over March
Parts, $1100.00, 10%
Services, $70,000, 25%
What was the combined sales revenue in March for the Parts and Services divisions of Jack's Auto Service
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
parts in april were 1,100 with an increase of 10% over march.
services in april were 70,000 with an increase of 25% over march.

In general, the formula to use is:

let m = revenue in march.
let a = revenue in april.

a * (1+i) = m

where i is the increase percentage divided by 100%.

If we divide both sides of this equation by (1+i), then we get:

m = a / (1+i)

This says that the march revenue is equal to the april revenue divided by 1 + the increase percent divided by 100%.

Since parts increase was 10%, then (1+i) would equal 1.10 for parts.

since services increase was 25%, then (1+i) would equal 1.25 for services.

For parts, this equation becomes:

m = 1100 / (1.10)

For services, this equation becomes:

m = 70000 / (1.25)

Resolving these formulas, we get:

parts in march = 1100/1.10 = 1000
services in march = 70000/1.25 = 56000

The total revenue in march is equal to $57,000

To confirm, we just go in reverse.

april parts = march parts + 10% which equals 1000 + 100 which equals 1100.
april services = march services + 25% which equals 56000 + 14000 which equals 70000.

The answer is confirmed to be accurate so we're good.

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