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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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New post 21 Aug 2018, 05:59
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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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New post 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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New post 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
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On Monday, the regular price of a widget was discounted by 25 percent.  [#permalink]

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

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New post 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

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

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

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New post 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.

Answer: 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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