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# A crockery store offered a sale of 15 % on their products.

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A crockery store offered a sale of 15 % on their products. [#permalink]  25 Feb 2020, 10:14
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A crockery store offered a sale of 15% on their products. If a specific product was already on 10% sale, what is the percent decrease from the original price before any discount to the current price?
a. 5%
b. 10.5%
c. 15%
d. 23.5%
e. 25%
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Re: A crockery store offered a sale of 15 % on their products. [#permalink]  19 Aug 2020, 14:08
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Expert's post
Asif123 wrote:
A crockery store offered a sale of 15% on their products. If a specific product was already on 10% sale, what is the percent decrease from the original price before any discount to the current price?
a. 5%
b. 10.5%
c. 15%
d. 23.5%
e. 25%

Let \$100 = the original price.
After a 10% discount, the new price = \$100 - (10% of \$100)
= \$100 - (\$10)
= \$90

After a further 15% discount, the new price = \$90 - (15% of \$90)
= \$90 - (\$13.50)
= \$76.50

What is the percent decrease from the original price before any discount to the current price?
The price has decreased from \$100 to \$76.50
Percent decrease = (100)(change in value)/(original value)
= (100)(100 - 76.50)/100
= (100)(23.5)/100
= 23.5%

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Re: A crockery store offered a sale of 15 % on their products. [#permalink]  20 Aug 2020, 02:20
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Question: A crockery store offered a sale of 15% on their products. If a specific product was already on 10% sale, what is the percent decrease from the original price before any discount to the current price?

Original Price = 100
After 10% discount = 90
After 15% discount = 90 * 0.15 = 13.5
= 90 - 13.5 = 76.5

Question: What is the percent decrease from the original price before any discount to the current price?

Original price before discount = 100
Current price = 76.5
Percent decrease = (old - new)/old = (100 - 76.5)/100
=0.235 * 100 = 23.5 Option D
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Re: A crockery store offered a sale of 15 % on their products. [#permalink]  08 Oct 2020, 11:03
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For any increase or decrease for percents, a shortcut can be used where - if value is increased, simply multiply the original value by 1.X, where X = the percent value. For eg, 20% increase on \$100 can be written as \$100*1.2 = \$120.

For decrease the value is 0.Y, where Y = 100-the percent value. For eg, 20% decrease on \$100 would be \$100*0.80 = \$80

Therefore, for this question we can skip a few calculation steps by taking the original price as a. And hence,

After 10% discount = a*0.9
After 15% discount = a*0.9*0.85

Percent decrease =
(OLD - NEW)/OLD * 100 = (a - a*0.9*0.85)/a * 100= a(1 - 0.9*0.85)/a *100 = (a gets cancelled out, use calculator to get .9*.85 = 0.765) 0.235*100 = 23.5%, which is the answer D.
Re: A crockery store offered a sale of 15 % on their products.   [#permalink] 08 Oct 2020, 11:03
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