GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 12 Nov 2019, 07:24 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  ### Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 73% (02:18) correct 27% (02:34) wrong based on 41 sessions

### HideShow timer Statistics

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.

_________________
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3309
Location: India
GPA: 3.12
The price of a product is $a. Bill bought s products and then sold 80 [#permalink] ### Show Tags Bunuel wrote: The price of a product is$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)
_________________
You've got what it takes, but it will take everything you've got
e-GMAT Representative V
Joined: 04 Jan 2015
Posts: 3134
Re: The price of a product is $a. Bill bought s products and then sold 80 [#permalink] ### Show Tags Solution Given: • The cost price of a product =$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

_________________
Non-Human User Joined: 09 Sep 2013
Posts: 13563
Re: The price of a product is $a. Bill bought s products and [#permalink] ### Show Tags Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: The price of a product is$a. Bill bought s products and   [#permalink] 04 Sep 2019, 02:42
Display posts from previous: Sort by

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