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

 It is currently 12 Dec 2018, 22:25

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

### Show Tags

27 Feb 2018, 22:40
00:00

Difficulty:

25% (medium)

Question Stats:

82% (00:59) correct 18% (01:04) wrong based on 37 sessions

### HideShow timer Statistics

What was the original price of a radio that sold for $70 during a 20%-off sale? (A)$84

(B) $56 (C)$87.50

(D) $92 (E)$90

_________________
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3325
Location: India
GPA: 3.12
What was the original price of a radio that sold for $70 during a 20% [#permalink] ### Show Tags 27 Feb 2018, 23:57 Bunuel wrote: What was the original price of a radio that sold for$70 during a 20%-off sale?

(A) $84 (B)$56

(C) $87.50 (D)$92

(E) $90 If the discount of 20% is applied to a product of price$100, the cost at which the product is sold is $80! The proportion will be SP:80 - Discount:20 - MP:100 (4x - x - 5x) We are given the cost of the radio was$70 after a discount of 20% was applied.

Therefore, the marked price on the radio was $$70*\frac{5}{4} = \frac{350}{4} = 87.5$$(Option C)
_________________

You've got what it takes, but it will take everything you've got

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2292
Re: What was the original price of a radio that sold for $70 during a 20% [#permalink] ### Show Tags 28 Feb 2018, 10:15 Solution Let’s assume the original price of the radio to be x. After 20% off, the price of radio becomes$70.

Thus, we can write:

• $70= Original price- 20% of original price. •$70= x- 20/100 * x
• $70= x- 0.2 x •$70= 0.8x
• x= $70/.8 • X=$87.50

Therefore, the original price of the radio was $87.50. Answer: C _________________ Register for free sessions Number Properties | Algebra |Quant Workshop Success Stories Guillermo's Success Story | Carrie's Success Story Ace GMAT quant Articles and Question to reach Q51 | Question of the week Must Read Articles Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2 Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2 Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry Algebra- Wavy line | Inequalities Practice Questions Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets | '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com Senior SC Moderator Joined: 22 May 2016 Posts: 2204 What was the original price of a radio that sold for$70 during a 20%  [#permalink]

### Show Tags

28 Feb 2018, 10:55
Bunuel wrote:
What was the original price of a radio that sold for $70 during a 20%-off sale? (A)$84

(B) $56 (C)$87.50

(D) $92 (E)$90

Start with C) Original price = $87.50 Long way: Dollar amount "off" = (Original P - 20% of original P) 20% of P: $$\frac{2}{10}*(87.5)=(8.75 * 2)= 17.5$$ Sale price: $$(87.50 - 17.50) = 70$$ That's a match. Short way: 20% off = 80% of original price $$\frac{8}{10}*87.5=(8.75 * 8)= 70$$ Answer C Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4294 Location: United States (CA) Re: What was the original price of a radio that sold for$70 during a 20%  [#permalink]

### Show Tags

01 Mar 2018, 17:32
Bunuel wrote:
What was the original price of a radio that sold for $70 during a 20%-off sale? (A)$84

(B) $56 (C)$87.50

(D) $92 (E)$90

We can let n = the original price and create the following equation:

70 = 0.8n

87.5 = n

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions