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On Monday, the regular price of a widget was discounted by 25 percent.

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On Monday, the regular price of a widget was discounted by 25 percent.  [#permalink]

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21 Aug 2018, 05:59
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90% (00:54) correct 10% (01:19) wrong based on 48 sessions

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On Monday, the regular price of a widget was discounted by 25 percent. On Tuesday, the reduced price was discounted by 50 percent. If the final price was $60, what was the regular price? A.$135
B. $150 C.$160
D. $175 E.$180

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Re: On Monday, the regular price of a widget was discounted by 25 percent.  [#permalink]

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21 Aug 2018, 06:08
Bunuel wrote:
On Monday, the regular price of a widget was discounted by 25 percent. On Tuesday, the reduced price was discounted by 50 percent. If the final price was $60, what was the regular price? A.$135
B. $150 C.$160
D. $175 E.$180

let the original price be x
x---25%--->y
y---50%--->z

z=60

0.5y=60
y=120

0.75x=120
x=160
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Re: On Monday, the regular price of a widget was discounted by 25 percent.  [#permalink]

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21 Aug 2018, 11:36
Bunuel wrote:
On Monday, the regular price of a widget was discounted by 25 percent. On Tuesday, the reduced price was discounted by 50 percent. If the final price was $60, what was the regular price? A.$135
B. $150 C.$160
D. $175 E.$180

Effective Discount in percentage is $$-25 - 50 + \frac{25*50}{100}$$ = $$-75 + 12.5 = -62.5$$

If, the price of the item was 100 then the final price on Tues after 2 successive discounts was 37.50

So, The original price was $$\frac{60}{37.5}*100 = 160$$ , Answer must be (C) $160 _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) SVP Joined: 26 Mar 2013 Posts: 1805 On Monday, the regular price of a widget was discounted by 25 percent. [#permalink] Show Tags 22 Aug 2018, 05:33 Bunuel wrote: On Monday, the regular price of a widget was discounted by 25 percent. On Tuesday, the reduced price was discounted by 50 percent. If the final price was$60, what was the regular price?

A. $135 B.$150
C. $160 D.$175
E. $180 Almost no calculation Let original price = x 25% discount on Monday = 75% of x = $$\frac{3}{4}x$$ 50% of Monday price = $$\frac{1}{2}$$*$$\frac{3}{4}x$$=$$\frac{3}{8}x$$ Scanning answer choices, you will find only one number divide 8 evenly and gives integer value (60) Answer: C Intern Joined: 14 Sep 2014 Posts: 9 Re: On Monday, the regular price of a widget was discounted by 25 percent. [#permalink] Show Tags 22 Aug 2018, 05:50 This is simple math Do cake in your mind and write one equation .75x.5xN = 60 and dolce Easily 3/4 x 1/2 Posted from my mobile device Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 3497 Location: United States (CA) Re: On Monday, the regular price of a widget was discounted by 25 percent. [#permalink] Show Tags 23 Aug 2018, 17:05 Bunuel wrote: On Monday, the regular price of a widget was discounted by 25 percent. On Tuesday, the reduced price was discounted by 50 percent. If the final price was$60, what was the regular price?

A. $135 B.$150
C. $160 D.$175
E. $180 We let n = the regular price of the widget. We can create the equation: n x 3/4 x 1/2 = 60 3n/8 = 60 3n = 480 n = 160 Answer: C _________________ Scott Woodbury-Stewart Founder and CEO GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions e-GMAT Representative Joined: 04 Jan 2015 Posts: 1989 Re: On Monday, the regular price of a widget was discounted by 25 percent. [#permalink] Show Tags 23 Aug 2018, 22:33 Solution Given: • On Monday, the regular price of a widget was discounted by 25 percent. • On Tuesday, the reduced price was discounted by 50 percent. • Final price is$60.

To find:
• The regular price of the widget.

Approach and Working:

Let us assume the regular of widget is P.
• Hence, on Monday the price of widget gets discounted by 25%.
o Hence, the price on Monday is= ¾ *P

• Now, on Tuesday, the price gets further discounted by 50 percent.
o Hence, the price on Monday is= ½* ¾ *p= 3/8 P
o Now, 3/8 P= 60.
 P= 160

Hence, the correct answer is option C.

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Re: On Monday, the regular price of a widget was discounted by 25 percent. &nbs [#permalink] 23 Aug 2018, 22:33
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