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 Your Progress

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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

25 Nov 2010, 08:20

1

This post received KUDOS

15

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

41% (03:38) correct
59% (02:28) wrong based on 230 sessions

HideShow timer Statistics

A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 articles to be sold at the cost price of 12 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed?

Here is an official explanation of solution method from "Math Question Bank For GMAT Winners" at www.my-gmat.com:

Let the CP (cost price) of the article be $x, since he earns a profit of 20%, hence SP (selling price)=1.2x.

Loss=[(16-12)/16]*100=25%

His selling price=SP*0,75 Now--> SP*0.75=1.2x SP=1.2x/0.75=1.6x This SP is arrived after giving a discount of 20% on MP (marked price). Hence --> MP=1.6x/0.8=2x --> it means that article has been marked 100% above the cost price.

Can somebody can suggest an alternative solution method with a better explanation?! I appreciate your help +KUDOS for you!

A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 articles to be sold at the cost price of 12 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed? a) 100% b) 80% c) 75% d) 66+2/3% e) 55%

This gives us the formula (1 + m/100)(1 - d/100) = (1 + p/100) (1 + m/100)(1 - 20/100) = (1 + 20/100) m = 50 So mark up was 50% in a situation where 12 articles were sold and charged for. i.e. effective mark up turned out to be 50% though his actual mark up was higher since he gave away 16 articles for the cost of 12.

Lets say the cost price of each of the 16 articles was $1. Then total cost price was $16 and effective markup was 50% higher on $16 i.e. 16 + 8 = $24. So he charged $24 from the customer. This must have been the marked price on 12 articles. So each article must have a marked price of $2 i.e. a mark up of 100%

It is definitely a tricky question. If any parts of the solution are unclear, ask. _________________

In the case of cost/selling/discount stuff problems, just keep ur brain cool and for any problem, note down the below 5 things first. These 5 points will take u further, I swear.

1) C=The actual price = the COST PRICE. è hoe much did it cost to the seller to get that product into his shop. 2) S=selling price è what is the price that he is selling the product for. Hence if S>C è profit and if S<C è Loss. 3) X=|S-C|, difference (profit/loss) he made by removing the $30, for example, sticker and pasting $40 sticker. After all it is his shop and the product (the ball) is in his shop (court) 4) D=the cheating, but cleverly calculated, discount after he made the changes as specified in point3. 5) GOLDEN POINTS: THE DISCOUNT IS ALWAYS ON “S” – THE SELLING PRICE and THE profit/loss IS ALWAYS ON “C” – THE ACTUAL/COST PRICE

Coming to the original qtn: Qtn= How much percent above the cost price were his articles listed – this is point 3 above, i.e. asking for X but in terms of percentage. Hence,the simplified question is à what percent of C is X è X/C * 100 = S-C/C *100 è (S/C – 1) * 100

Given. Discount of 20% = 1-1/5 = 4/5 times S (as per point5) Profit of 20% = 1+1/5 = 6/5 TIMES C (as per point5)

Discount of 20% MADE Profit of 20% ( a clever seller, isn’t he) Hence New SSelling price = (4/5)S

Not only this. Further more. he further allows 16 articles to be sold at the cost price of 12 articles to a particular sticky bargainer He further reduced the selling price by 12/16 New S = (12/16)(4/5)S

(12/16)(4/5)S give the profit of (6/5)C (12/16)(4/5)S = (6/5)C S/C = 2 As the simplified question is à what percent of C is X è X/C * 100 = S-C/C *100 è (S/C – 1) * 100

Answer = (2-1) * 100 = 100% Or u from S=2C, we can simply say the clever seller has removed the $30 (i.e C), for an example, sticker and pasted the $60 (i.e S=2C) sticker. 100% over the cost price is listed

Tricky Question - But the key is to, as always, understand the question inside out

Given

Cash Discount - 20% Profit - 20% Items Sold - 16 Price Sold at = List Price of 12

Assume List price = $10 Total Invoice = $120 -20% Cash Discount = $96 Let cost price of 16 items be x So total cost = 16*x Given the shopkeeper had a profit of 20%

16 * x * 120/100 = 96

or x = $5

Which means his products were listed at $10 which is a 100% markup over $5

Answer A _________________

You've been walking the ocean's edge, holding up your robes to keep them dry. You must dive naked under, and deeper under, a thousand times deeper! - Rumi

Re: A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

18 Feb 2014, 09:17

1

This post received KUDOS

feruz77 wrote:

A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 articles to be sold at the cost price of 12 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed?

A. 100% B. 80% C. 75% D. 66+2/3% E. 55%

Wow! this one one tough one. Let's see

Let's call 'P' the price and 'C' the cost

We have 0.8P = 1.2C

Now we also know that we had an additional (16-12)/16=4/16=3/4 discount on the price

Re: A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

23 Sep 2014, 02:07

VeritasPrepKarishma wrote:

feruz77 wrote:

A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 articles to be sold at the cost price of 12 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed? a) 100% b) 80% c) 75% d) 66+2/3% e) 55%

This gives us the formula (1 + m/100)(1 - d/100) = (1 + p/100) (1 + m/100)(1 - 20/100) = (1 + 20/100) m = 50 So mark up was 50% in a situation where 12 articles were sold and charged for. i.e. effective mark up turned out to be 50% though his actual mark up was higher since he gave away 16 articles for the cost of 12.

Lets say the cost price of each of the 16 articles was $1. Then total cost price was $16 and effective markup was 50% higher on $16 i.e. 16 + 8 = $24. So he charged $24 from the customer. This must have been the marked price on 12 articles. So each article must have a marked price of $2 i.e. a mark up of 100%

It is definitely a tricky question. If any parts of the solution are unclear, ask.

Hi Karishma, I got this far:

VeritasPrepKarishma wrote:

This gives us the formula (1 + m/100)(1 - d/100) = (1 + p/100) (1 + m/100)(1 - 20/100) = (1 + 20/100)

Since he gave away 16 for the price of 12, I multiplied the left side by 3/4 and got the right result. My question is how you proceeded from that part:

VeritasPrepKarishma wrote:

Lets say the cost price of each of the 16 articles was $1. Then total cost price was $16 and effective markup was 50% higher on $16 i.e. 16 + 8 = $24. So he charged $24 from the customer. This must have been the marked price on 12 articles. So each article must have a marked price of $2 i.e. a mark up of 100%

Once you got the 24$, why did you calculate how much of a markup it was on the 12 items? I didn't get the transition between the 12 and 16. Can you help with that?

A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

23 Sep 2014, 21:41

Expert's post

1

This post was BOOKMARKED

ronr34 wrote:

VeritasPrepKarishma wrote:

feruz77 wrote:

A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 articles to be sold at the cost price of 12 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed? a) 100% b) 80% c) 75% d) 66+2/3% e) 55%

This gives us the formula (1 + m/100)(1 - d/100) = (1 + p/100) (1 + m/100)(1 - 20/100) = (1 + 20/100) m = 50 So mark up was 50% in a situation where 12 articles were sold and charged for. i.e. effective mark up turned out to be 50% though his actual mark up was higher since he gave away 16 articles for the cost of 12.

Lets say the cost price of each of the 16 articles was $1. Then total cost price was $16 and effective markup was 50% higher on $16 i.e. 16 + 8 = $24. So he charged $24 from the customer. This must have been the marked price on 12 articles. So each article must have a marked price of $2 i.e. a mark up of 100%

It is definitely a tricky question. If any parts of the solution are unclear, ask.

Hi Karishma, I got this far:

VeritasPrepKarishma wrote:

This gives us the formula (1 + m/100)(1 - d/100) = (1 + p/100) (1 + m/100)(1 - 20/100) = (1 + 20/100)

Since he gave away 16 for the price of 12, I multiplied the left side by 3/4 and got the right result. My question is how you proceeded from that part:

VeritasPrepKarishma wrote:

Lets say the cost price of each of the 16 articles was $1. Then total cost price was $16 and effective markup was 50% higher on $16 i.e. 16 + 8 = $24. So he charged $24 from the customer. This must have been the marked price on 12 articles. So each article must have a marked price of $2 i.e. a mark up of 100%

Once you got the 24$, why did you calculate how much of a markup it was on the 12 items? I didn't get the transition between the 12 and 16. Can you help with that?

Here is the logic I used:

Say, the cost price of each article is $1.

We get that the effective mark up is 50%. So the buyer buys products worth $16 which were effectively marked up at $16 + 50% of 16 = $24. So the buyer saw the marked price as $24. But this was the marked price on 12 articles which have a cost price of $12. So actual markup is 100%.

I am not sure what logic you used to multiply the left hand side by 3/4. _________________

Re: A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

25 Sep 2014, 01:18

2

This post received KUDOS

feruz77 wrote:

A dealer offers a cash discount of 20% and still makes a profit of 20% when he further allows 16 articles to be sold at the cost price of 12 articles to a particular sticky bargainer. How much percent above the cost price were his articles listed?

A. 100% B. 80% C. 75% D. 66+2/3% E. 55%

I find assuming CP (Sticker) as 100 was easier .

Total cost of 12 articles = 1200

He offer 20 % discount on it , therefore Selling price = 1200 - 1200*.2 = 960

SP of 16 articles comes out to be 960 , therefore 1 article cost : 60

Now, On selling articles at 60, shopekeeper still manage to make 20% profit , therefore his actual CP will be calculated by 1.2*Actual CP = 60

Actual CP = 50, Difference between value on sticker & actual CP is 100-50 = 50, therefore % increase = 100%

Re: A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

25 Sep 2014, 23:08

VeritasPrepKarishma Question says "...16 articles to be sold at the cost price of 12 articles..." cost price is actually - rather should be - marked price? as per OA and discussions I understood; if C.P. is 1$ then marked price is 2$ now if 16 articles are sold at 12$ (C.P. of 12$) the shopkeeper is actually at loss of 25% Hope my doubt is clear.

Re: A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

27 Sep 2014, 04:35

1

This post received KUDOS

Expert's post

sanket1991 wrote:

VeritasPrepKarishma Question says "...16 articles to be sold at the cost price of 12 articles..." cost price is actually - rather should be - marked price? as per OA and discussions I understood; if C.P. is 1$ then marked price is 2$ now if 16 articles are sold at 12$ (C.P. of 12$) the shopkeeper is actually at loss of 25% Hope my doubt is clear.

The questions implies that 16 articles are sold at the price of 12. Cost price here does not mean the price at which the 12 articles were bought. That would be a certain loss. _________________

Re: A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

28 Mar 2016, 19:58

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: A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

05 Apr 2016, 08:24

Karishma , I dont understand this part " So he charged $24 from the customer. This must have been the marked price on 12 articles. So each article must have a marked price of $2 i.e. a mark up of 100%". Can you please explain ?

Re: A dealer offers a cash discount of 20% and still makes a pro [#permalink]

Show Tags

05 Apr 2016, 23:26

1

This post received KUDOS

Expert's post

Monisha2402 wrote:

Karishma , I dont understand this part " So he charged $24 from the customer. This must have been the marked price on 12 articles. So each article must have a marked price of $2 i.e. a mark up of 100%". Can you please explain ?

Here is another way to think about this if you understood the formula:

Let's say the cost price of each article was $1. So cost of 16 articles would be $16. Say, there is no mark up and the articles are sold at $1 too. If 16 articles are given away at the price of 12 articles, the selling price is $12. This means a discount of 4/16 * 100 = 25%

So there are two independent discounts involved: a cash discount of 20% and another discount of 25%. Use successive percentages for that.

Part 2 of the GMAT: How I tackled the GMAT and improved a disappointing score Apologies for the month gap. I went on vacation and had to finish up a...

So the last couple of weeks have seen a flurry of discussion in our MBA class Whatsapp group around Brexit, the referendum and currency exchange. Most of us believed...

This highly influential bestseller was first published over 25 years ago. I had wanted to read this book for a long time and I finally got around to it...