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What is the net decimal equivalent of the series 30/25/15. round to the nearest thousandths?

1 Answer

3 votes
We can determine, a 30/25/15 series trade discount would be calculated as follows:

let X = retail price.

X - 0.30 × X = Y ⇒ first discounted price.

Y - 0.25
× Y = Z ⇒ second discounted price.

Z - 0.15*Z = T
⇒ total discounted price.

X - 0.30
× X = (1 - 0.30) × X = 0.70 × X = Y

Y - 0.25
× Y = (1 - 0.25) × Y = 0.75 × Y = Z

Z - 0.15
× Z = (1 - 0.15) × Z = 0.85 × Z = T

since Z = 0.85
× Y, then 0.85 × Z = 0.85 × 0.75 × Y

since Y = 0.70
× X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X

based on the above, then T = total discount


= 0.85
× 0.75 × 0.70 × X


= 0.44625X

30/25/15 series discount is equivalent to a total discount of 44.625%
User Gaurangkathiriya
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