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

Question

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

CounterSniper · Answer

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

z=60

0.5y=60
y=120

0.75x=120
x=160

Abhishek009 · Answer

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

Mo2men · Answer

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

mandy0rhtdm · Answer

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

ScottTargetTestPrep · Answer

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

EgmatQuantExpert · Answer

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.

Answer: C

BrentGMATPrepNow · Answer

Let x = the ORIGINAL (regular) price

On Monday, the regular price of a widget was discounted by 25 percent.   
If the price is discounted 25%, then we end up paying 75% of the ORIGINAL price
In other words, the discounted price = 75% of x =  0.75x

On Tuesday, the reduced price was discounted by 50 percent.  
In other words, we end up paying 50% of the pre-discounted price
So: NEW discounted price = 50% of  0.75x  = (0.50)( 0.75x ) =  0.375x

If the final price was $60, what was the regular price?  
We can write:  0.375x  = 60
Solve: x = 160

Answer: C

Cheers,
Brent

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

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