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

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Bunuel
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The price of a product is $a. Bill bought s products and then sold 80 [#permalink] New post   29 Oct 2018, 02:18
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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] New post   29 Oct 2018, 03:08
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] New post   30 Oct 2018, 03:31
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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 [#permalink] New post   27 Dec 2020, 23:47
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The price of a product is $a. Bill bought 's' products: Total cost price: $a * s = sa

Sold 80 percent of them $b: \(\frac{80}{100}\) * s * b = 0.8sb

Profit was three times the cost: P =3 * as = 3sa

Profit = S.P. - C.P.

=> 3sa = 0.8sb - as

=> 4sa = 0.8sb

Answer A
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gmatclubot
Re: The price of a product is $a. Bill bought s products and then sold 80 [#permalink]
27 Dec 2020, 23:47
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