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11Alexandr11 [23.1K]
3 years ago
6

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

Mathematics
1 answer:
Brut [27]3 years ago
7 0
<span>We can determine, a 30/25/15 series trade discount would be calculated as follows:

let X = retail price.

X - 0.30 </span>× X = Y    ⇒ first discounted price.
<span>
Y - 0.25 </span>× Y = Z    ⇒ second discounted price.
<span>
Z - 0.15*Z = T        </span>⇒ total discounted price.
<span>
X - 0.30 </span>× X = (1 - 0.30) × X = 0.70 × X = Y
<span>
Y - 0.25 </span>× Y = (1 - 0.25) × Y = 0.75 × Y = Z
<span>
Z - 0.15 </span>× Z  = (1 - 0.15) × Z  = 0.85 × Z = T
<span>
since Z = 0.85 </span>× Y, then 0.85 × Z = 0.85 × 0.75 × Y
<span>
since Y = 0.70 </span>× X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X
<span>
based on the above, then T = total discount


                                               = 0.85 </span>× 0.75 × 0.70 × X


                                               = 0.44625X<span>

30/25/15 series discount is equivalent to a total discount of 44.625%
</span>
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