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29 Oct 2018, 02:18
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Difficulty:

35% (medium)

Question Stats:

74% (02:18) correct 26% (02:39) wrong based on 39 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 $a. Bill bought s products and then sold 80 [#permalink] ### Show Tags 29 Oct 2018, 03:08 Bunuel wrote: The price of a product is$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 $a. Bill bought s products and then sold 80 [#permalink] ### Show Tags 30 Oct 2018, 03:31 Solution Given: • The cost price of a product =$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

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Re: The price of a product is $a. Bill bought s products and [#permalink] ### Show Tags 04 Sep 2019, 02:42 Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: The price of a product is$a. Bill bought s products and   [#permalink] 04 Sep 2019, 02:42
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