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### Show Tags

29 Oct 2018, 01:18
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:58) correct 35% (02:27) wrong based on 31 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 $a. Bill bought s products and then sold 80 [#permalink] ### Show Tags 29 Oct 2018, 02:08 Bunuel wrote: The price of a product is$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 $a. Bill bought s products and then sold 80 [#permalink] ### Show Tags 30 Oct 2018, 02:31 Solution Given: • The cost price of a product =$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

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