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The price of a product is $a. Bill bought s products and then sold 80

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The price of a product is $a. Bill bought s products and then sold 80  [#permalink]

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New post 29 Oct 2018, 01:18
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Question Stats:

65% (01:59) correct 35% (02:23) wrong based on 26 sessions

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The price of a product is $a. Bill bought s products and then sold 80 percents of them $b. which of the following represents the whole deal if Bill's profit was three times the cost?


A. 0.8sb = 4sa.

B. (1-0.8) s ab = 3s.

C. 3(0.8a sb) = sa.

D. (s-0.8s) (b-a) = 3.

E. (s0.8s) / (b-a) = 3.

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The price of a product is $a. Bill bought s products and then sold 80  [#permalink]

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New post 29 Oct 2018, 02:08
Bunuel wrote:
The price of a product is $a. Bill bought s products and then sold 80 percents of them $b. which of the following represents the whole deal if Bill's profit was three times the cost?


A. 0.8sb = 4sa.

B. (1-0.8) s ab = 3s.

C. 3(0.8a sb) = sa.

D. (s-0.8s) (b-a) = 3.

E. (s0.8s) / (b-a) = 3.


The total price at which Bill bought the products is \(s*$a\)

Bill, then sold 80% of the products at $b. The price realized from the sale is \(0.8s*$b\)

The total profit which is generated by this transaction is \(3*s*$a\)(at three times the cost)

Therefore, the whole deal is Profit = SP - CP -> \(3sa = 0.8sb - sa\) -> 4sa = 0.8sb(Option A)
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Re: The price of a product is $a. Bill bought s products and then sold 80  [#permalink]

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New post 30 Oct 2018, 02:31

Solution


Given:
    • The cost price of a product = $a
    • Bill bought ‘s’ products and then sold 80% of them at $b each
    • Bill’s profit = 3 * CP

To find:
    • Which among the given answer choices represents the whole deal

Approach and Working:
    • Total CP = $a * s
    • Total SP = \($b * \frac{80s}{100}\)
    • Profit = \(3as = \frac{4bs}{5} – as\)
    o Implies, 4as = 0.8sb

Hence, the correct answer is Option A

Answer: A

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Re: The price of a product is $a. Bill bought s products and then sold 80 &nbs [#permalink] 30 Oct 2018, 02:31
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