It is currently 12 Dec 2017, 14:01

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# By what percent was the price of a certain television set discounted

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135384 [2], given: 12691

By what percent was the price of a certain television set discounted [#permalink]

### Show Tags

29 Nov 2010, 00:23
2
KUDOS
Expert's post
4
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

77% (00:54) correct 23% (01:01) wrong based on 600 sessions

### HideShow timer Statistics

By what percent was the price of a certain television set discounted for a sale?

(1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price.
(2) The price of the television set was discounted by $60 for the sale. [Reveal] Spoiler: OA _________________ Kudos [?]: 135384 [2], given: 12691 Manager Status: I rest, I rust. Joined: 04 Oct 2010 Posts: 121 Kudos [?]: 129 [5], given: 9 Schools: ISB - Co 2013 WE 1: IT Professional since 2006 Re: By what percent was the price of a certain television set discounted [#permalink] ### Show Tags 29 Nov 2010, 01:24 5 This post received KUDOS You don't have to assume...but can define a variable.. e.g. lets take X as the discounted price so the price before discount = 1.25X so the discount was 0.25X Now all you have to do is to calculate the % of 0.25X in 1.25X which is 20%. Hope its clear PS: Consider a kudos if you like my post _________________ Respect, Vaibhav PS: Correct me if I am wrong. Kudos [?]: 129 [5], given: 9 Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7791 Kudos [?]: 18108 [2], given: 236 Location: Pune, India Re: By what percent was the price of a certain television set discounted [#permalink] ### Show Tags 29 Nov 2010, 05:29 2 This post received KUDOS Expert's post 2 This post was BOOKMARKED rite2deepti wrote: By what percent was the price of a certain television set discounted for a sale? (1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price. (2) The price of the television set was discounted by$60 for the sale.

If we suppose that the initial price was 100 then the Answer is A , but can we assume in DS questions ?

In percentage questions, you can assume some price to be 100 and then do your calculations and get your answer in percentage terms. The reason for this is that it doesn't matter what the price actually is. The percentage will remain the same.
e.g.
Discounted price is 100. When we increase it by 25%, we get 125 as the original price. Discount given = (125 - 100)/125 * 100 = 20%

Let us say discounted price is 200. When we increase it by 25%, we get 250 as the original price. Discount given = (250 - 200)/250 * 100 = 20%
No matter what you assume your discounted price to be, you will always get a discount of 20%.
You can use any one of these values to get your answer. It holds for all values of discount price, hence you are not assuming anything here. Or you can use 'x' and then do your calculations as done above. For our calculations, we generally use 100 as the price since it is easiest to work with.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Kudos [?]: 18108 [2], given: 236 Manager Joined: 29 Oct 2009 Posts: 195 Kudos [?]: 112 [1], given: 12 Concentration: General Management, Sustainability WE: Consulting (Computer Software) Re: By what percent was the price of a certain television set discounted [#permalink] ### Show Tags 29 Nov 2010, 09:38 1 This post received KUDOS Lets consider cost price is c selling price after discount is s Statement1: cost price is 25% greater than selling price $$c = s + (25/100) s$$ $$c = (100s+25s)/100$$ $$c = 125s/100$$ $$s = 100c/125 = 4c/5$$ multiply by 20 to get 100 in denominator $$s = 80c/100$$ That means 80% of cost price is selling price ==> 20% is the discount applied. Sufficient Statement2: s = c-60 from this statement we can not find the percentage. Not sufficient. Ans A _________________ +1Kudos, if this helps Kudos [?]: 112 [1], given: 12 Math Expert Joined: 02 Sep 2009 Posts: 42571 Kudos [?]: 135384 [0], given: 12691 Re: By what percent was the price of a certain television set discounted [#permalink] ### Show Tags 25 Oct 2015, 07:59 Expert's post 4 This post was BOOKMARKED By what percent was the price of a certain television set discounted for a sale? (1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price. (2) The price of the television set was discounted by$60 for the sale.

Kudos for a correct solution.
_________________

Kudos [?]: 135384 [0], given: 12691

Manager
Joined: 11 Sep 2013
Posts: 112

Kudos [?]: 92 [0], given: 26

Re: By what percent was the price of a certain television set discounted [#permalink]

### Show Tags

25 Oct 2015, 09:00
1
This post was
BOOKMARKED
Bunuel wrote:
By what percent was the price of a certain television set discounted for a sale?

(1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price.
(2) The price of the television set was discounted by $60 for the sale. Kudos for a correct solution. t is the discounted price. p is the price before discounted => we need to know: (p-t)/p or t/p (1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price. => p=1.25t => know t/p => sufficient (2) The price of the television set was discounted by$60 for the sale
We know t but do not know p

=> insufficient

Ans: A

Kudos [?]: 92 [0], given: 26

Intern
Joined: 22 Sep 2014
Posts: 37

Kudos [?]: 50 [0], given: 12

Re: By what percent was the price of a certain television set discounted [#permalink]

### Show Tags

25 Oct 2015, 11:56
Bunuel wrote:
By what percent was the price of a certain television set discounted for a sale?

(1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price.
(2) The price of the television set was discounted by $60 for the sale. Kudos for a correct solution. Will go with A Let original price = x Let the discount percentage = k lets discounted price = d The equation: x - (k/100)x = d --------- (1) To Find: k Statement 1: d + (25/100)d = x ===>> (5/4)d = x ===>> if we put the value of x in equation (1) we will get the value of 'k' as all the value of d will be cancelled out. We will get k = 20. Hence sufficient. Statement 2: given that kx/100 = 60. One equation and 2 unknown variables. Hence will not be able to find the value of K. Thus, insufficient. _________________ Thanks & Regards, Vikash Alex (Do like the below link on FB and join us in contributing towards education to under-privilege children.) https://www.facebook.com/svect Kudos [?]: 50 [0], given: 12 Manager Joined: 22 Feb 2015 Posts: 56 Kudos [?]: 62 [1], given: 3 Location: United States Concentration: Finance, Operations GMAT Date: 04-01-2015 GPA: 3.98 Re: By what percent was the price of a certain television set discounted [#permalink] ### Show Tags 26 Oct 2015, 03:43 1 This post received KUDOS By what percent was the price of a certain television set discounted for a sale? (1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price. (2) The price of the television set was discounted by$60 for the sale.

Sol.
we need to find
Let price of television is x
Price after Discount is d

1) x = 1.25 d so x/d =1.25 or d/x = 100/125 i.e 0.80 i.e 20 % discount
2) x - 60 = d Not sufficient

so first is sufficient Hence A
_________________

Click +1 KUDOS , You can make me happy with just one click! Thanks

Kudos [?]: 62 [1], given: 3

Intern
Joined: 20 Aug 2014
Posts: 4

Kudos [?]: 2 [0], given: 0

Re: By what percent was the price of a certain television set discounted [#permalink]

### Show Tags

29 Sep 2016, 15:08
Hi Guys,
I am a newcomer here and i am not sure if this is the right place to ask, I have a GMAT problem here, and its not that hard apparently but maybe I am stupid .
By what percent was the price of a certain television set discounted for a sale?

(1) The price of the television set before it was discounted for the sale was 25 percent
greater than the discounted price.
(2) The price of the television set was discounted by $60 for the sale. ok so I keep getting E, now can someone just call me stupid and explain to me, and make me understand what this 25% greater is. I just dont get this concept. We are saying the D(1.25) = O , with O being original price and D being discount price. If Original price is 25% greater than the Discounted price, then how is it possbile that the discount is 20%?? thats what is driving me crazy. How is orginal price greater by 25%, if discount is 20% off, should the original price be 20% more than the discounted price??? sorry if i sound stupid but this got me very frustrated Kudos [?]: 2 [0], given: 0 Intern Joined: 08 Sep 2016 Posts: 1 Kudos [?]: 1 [1], given: 2 Location: Viet Nam Schools: McCombs '20 (II) GMAT 1: 740 Q51 V38 GPA: 3.8 Re: By what percent was the price of a certain television set discounted [#permalink] ### Show Tags 29 Sep 2016, 18:16 1 This post received KUDOS Hi jakejake I can feel you! but hope this could help there are certain concepts in increase/decrease percent questions which I think you may have misunderstood 1. if a is x percent greater than b it means: (a-b)/b = x % 2. if b is y percent less than a it means: (a-b)/a = y % For example: 8 is (8-5)/5 = 60% greater than 5 but 5 is (8-5)/8 = 37.5% less than 8 you can see the difference, right? In short, a is x percent greater than b, but b is not x percent less than a For discounted problem, it's more straightforward and, well, common sense: original price: a discounted: x percent discounted price: a(1-x)/100 I hope you could re-solve the problem based on this Kudos [?]: 1 [1], given: 2 Intern Joined: 26 Jan 2016 Posts: 1 Kudos [?]: [0], given: 39 Schools: McDonough '19 Re: By what percent was the price of a certain television set discounted [#permalink] ### Show Tags 24 Dec 2016, 12:12 VeritasPrepKarishma wrote: rite2deepti wrote: By what percent was the price of a certain television set discounted for a sale? (1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price. (2) The price of the television set was discounted by$60 for the sale.

If we suppose that the initial price was 100 then the Answer is A , but can we assume in DS questions ?

In percentage questions, you can assume some price to be 100 and then do your calculations and get your answer in percentage terms. The reason for this is that it doesn't matter what the price actually is. The percentage will remain the same.
e.g.
Discounted price is 100. When we increase it by 25%, we get 125 as the original price. Discount given = (125 - 100)/125 * 100 = 20%

Let us say discounted price is 200. When we increase it by 25%, we get 250 as the original price. Discount given = (250 - 200)/250 * 100 = 20%
No matter what you assume your discounted price to be, you will always get a discount of 20%.
You can use any one of these values to get your answer. It holds for all values of discount price, hence you are not assuming anything here. Or you can use 'x' and then do your calculations as done above. For our calculations, we generally use 100 as the price since it is easiest to work with.

Hi VeritasPrepKarishma ,
Quick and maybe stupid question. How do you decide what will go in the denominator, as in it could be (100-125)/125 or (125-100)/100 ?
or in terms of variables would it be (B-D)/B or (D-B)/D where B= Price before sale and D=Discounted price

Kudos [?]: [0], given: 39

Intern
Status: No matter how bad it is or how bad it gets: I am going to make it.
Joined: 06 Apr 2016
Posts: 31

Kudos [?]: 20 [0], given: 7

Location: Ukraine
Concentration: Finance, Entrepreneurship
GMAT 1: 670 Q49 V32
GMAT 2: 730 Q50 V38
GPA: 3.8
WE: Sales (Other)
Re: By what percent was the price of a certain television set discounted [#permalink]

### Show Tags

18 Apr 2017, 02:56
jakejake wrote:
Hi Guys,
I am a newcomer here and i am not sure if this is the right place to ask, I have a GMAT problem here, and its not that hard apparently but maybe I am stupid .
By what percent was the price of a certain television set discounted for a sale?

(1) The price of the television set before it was discounted for the sale was 25 percent
greater than the discounted price.
(2) The price of the television set was discounted by $60 for the sale. ok so I keep getting E, now can someone just call me stupid and explain to me, and make me understand what this 25% greater is. I just dont get this concept. We are saying the D(1.25) = O , with O being original price and D being discount price. If Original price is 25% greater than the Discounted price, then how is it possbile that the discount is 20%?? thats what is driving me crazy. How is orginal price greater by 25%, if discount is 20% off, should the original price be 20% more than the discounted price??? sorry if i sound stupid but this got me very frustrated Jakejake, let me try. First, in DS we do not need to calculate till the end. We need to know whether the information provided is SUFFICIENT to perform the calculation. Second, we have only one variable and asked not for the exact value, but for the % change, so we need the relationship between old and new price. Statement 1 gives us the relationship, hence sufficient. Statement 2 gives only value change, without any relationship- insufficient. If you want to check yourself plug in the values. When you see percents go for 100: Let the discount price = 100, then base price = 100*1,25=125. Percentage change= (new-old)/old=(100-125)/125=-25/125=-1/5=-20% The price was discounted by 20%. Posted from my mobile device _________________ The more we do, the more we can do. Kudos [?]: 20 [0], given: 7 Senior Manager Joined: 09 Mar 2017 Posts: 252 Kudos [?]: 85 [0], given: 462 Location: India Concentration: Marketing, Organizational Behavior WE: Information Technology (Computer Software) Re: By what percent was the price of a certain television set discounted [#permalink] ### Show Tags 07 Nov 2017, 07:27 Bunuel wrote: By what percent was the price of a certain television set discounted for a sale? (1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price. (2) The price of the television set was discounted by$60 for the sale.

1) % D = (D/CP ) * 100
= (D/ 1.25D)*100
= 80
The price of a certain television set discounted for a sale by 20%
sufficient

2)%D = 60/CP *100
insufficient
_________________

------------------------------
"Trust the timing of your life"
Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq

Kudos [?]: 85 [0], given: 462

Re: By what percent was the price of a certain television set discounted   [#permalink] 07 Nov 2017, 07:27
Display posts from previous: Sort by