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Bunuel
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Bunuel
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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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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Bunuel
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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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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Bunuel
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 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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