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The cost of shipping a purchase is s dollars up to a purchase value of

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The cost of shipping a purchase is s dollars up to a purchase value of  [#permalink]

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New post 30 Jun 2017, 13:41
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  15% (low)

Question Stats:

80% (01:33) correct 20% (02:28) wrong based on 55 sessions

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The cost of shipping a purchase is s dollars up to a purchase value of p dollars, plus an additional 5% of any excess of the purchase price over p dollars. If the value of a purchase is x dollars (where x > p), what is the cost (in dollars) of shipping the purchase?

(A) s + 0.05x
(B) s + 0.05p
(C) 0.05(s – p + x)
(D) s + 0.05(x – p)
(E) s + 0.05(p – x)

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Re: The cost of shipping a purchase is s dollars up to a purchase value of  [#permalink]

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New post 30 Jun 2017, 19:23
Total purchase value = \($x\), where \($x > $p\).
Cost of shipping up to a purchase value of \($p = $s\).
Cost of shipping \($(x-p) = 0.05(x-p)\)

Total shipping cost = \(s + 0.05(x-p)\). Ans - D.
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The cost of shipping a purchase is s dollars up to a purchase value of  [#permalink]

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New post 30 Jun 2017, 23:14
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These kind of problems are easiest when you assume numbers for the various variables.

Since the cost for shipping the product upto a purchase value of p is s, assume p = 100$, and s is 4$
It is said in excess of p$, an additional 5% is charged on the excess.
If the total charge is 140$, an additional 40$(which is the value of x) is charged over the purchase minimum of p(which is 100$)
5% of this additional 40$ is 0.05*40 = 2$.
Since the total shipping cost is s + additional 5% on the excess 40$(x-p)= 4 + 2 = 6$

Now all we need to do is find an answer option which gives a value of 6$ for a purchase value of 140$
Only (Option D) s + 0.05(x – p) =>\(4 + 0.05(140$ - 100$) = 4 + 0.05(40) = 6$\) gives us the exact shipping cost.
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Re: The cost of shipping a purchase is s dollars up to a purchase value of  [#permalink]

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New post 29 Mar 2019, 04:39
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Re: The cost of shipping a purchase is s dollars up to a purchase value of   [#permalink] 29 Mar 2019, 04:39
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