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During a clearance sale, a retailer discounted the original price of i

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Bunuel
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During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   02 Feb 2015, 07:26
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During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?

A. 40%
B. 45%
C. 55%
D. 60%
E. 62.5%

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D
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sterling19
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   02 Feb 2015, 07:34
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As it's a percentage problem, start with $100.

The first discount is 25% of $100, so the sales prices is 75% of $100 = $75.
The second discount is 20% of $75. Move the decimal once to the left and double it = $7.5*2 = $15.

The final sales price is $75-$15 = $60, which is 60% of $100.

The correct answer is D.
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   02 Feb 2015, 10:06
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as stated above 100 is the best trial value here..
after 1st discount price=100*.75=75..
after 2nd discount price becomes 75*80/100=60 ..
so this is 60% of original value.. D ans
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   03 Feb 2015, 11:25
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Original price = 100
Price after 1st Discount = 75

Price after 2nd Discount = 0.8 * 75 = 60

What percent of ORIGINAL price is the price after 2nd discount ==> 60

Ans D
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   09 Feb 2015, 04:36
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Bunuel
During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?

A. 40%
B. 45%
C. 55%
D. 60%
E. 62.5%

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

D. With percent problems, the key is often to make sure that you take the percent of the correct value. In this case, the initial 25% off means that customers will pay 75% of the original price. Then for the second discount, keep in mind that the discount is taken off of the sale price, not of the original price. So that's 20% off of the 75% that they did pay, which can be made easier by looking at what the customer does pay: 80% of the 75% sale price. Using fractions, that means they pay: 4/5*(3/4) of the original price, which nets to 3/5 of the original price, or 60%.
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During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   21 Mar 2015, 05:48
Bunuel
During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?

A. 40%
B. 45%
C. 55%
D. 60%
E. 62.5%

Kudos for a correct solution.


\(\frac{3}{4} *\frac{4}{5}* 100 = 60%\)
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   23 Mar 2015, 01:36
Let the original price = 100

Price after 25% discount = 75

Price after further 20% discount \(= 80*\frac{75}{100} = 60\)

Answer = 60 = D
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   30 Apr 2016, 15:43
consider the original price of the TV to be $100
during the first 2 weeks of the month sale price is reduced by 25%
so original price = $75
during the last 2 weeks of the month sale price is further reduced by 20%
so original price = 0.8 * 75 = $60

so final price is 60% of original price
correct answer - D
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   06 May 2020, 05:31
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Bunuel
During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?

A. 40%
B. 45%
C. 55%
D. 60%
E. 62.5%


If the TV was purchased during the last week of the month and the original cost was n, we have:

0.75n * 0.8 = 0.6n, which is 60% of the original price.

Answer: D
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   26 Jul 2020, 02:39
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x*3/4*4/5 = 3x/5

3x/5/x/1 = 3x/5x = 0.6
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   26 Jul 2020, 10:27
Bunuel
During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?

A. 40%
B. 45%
C. 55%
D. 60%
E. 62.5%

Kudos for a correct solution.

Effective Discount is \(-25 - 20 - \frac{(-20)(-25)}{100} = -40\)

Thus, those who purchased TVs during the last week of the month paid 60% of the original price, Aswer must be (D)
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   27 Jul 2020, 07:29
Bunuel
During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?

A. 40%
B. 45%
C. 55%
D. 60%
E. 62.5%

Kudos for a correct solution.

Let's say Original Price = 100

Price after 25% discount = 75

Price after further 20% discount = 75-(7.5+7.5)=75-15=60

60 is 60% of 100. Answer D.
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   28 Jul 2020, 09:03
Let the original price = 100
First the price is reduced by 25% = 100 * 75/100 = 75

New Price after 25% discount - 75

now more discount of 20% = 75 * 80/100 = 60.

Answer D
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   25 Jun 2022, 23:42
During a clearance sale, a retailer discounted the original price of its TVs by 25% for the first two weeks of the month, then for the remainder of the month further reduced the price by taking 20% off the sale price. For those who purchased TVs during the last week of the month, what percent of the original price did they have to pay?

A. 40%
B. 45%
C. 55%
D. 60%
E. 62.5%

.75*.8 = .6

Answer: D
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Re: During a clearance sale, a retailer discounted the original price of i [#permalink] During a clearance sale, a retailer discounted the original price of i   26 Sep 2024, 00:04
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