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The list price of a commodity is the price after a 20% discount on the

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Bunuel
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The list price of a commodity is the price after a 20% discount on the [#permalink] New post   10 Apr 2019, 23:40
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The list price of a commodity is the price after a 20% discount on the retail price. The festival discount price on the commodity is the price after a 30% discount on the list price. Customers purchase commodities from stores at a festival discount price. What is the effective discount offered by the stores on the commodity on its retail price?

(A) 20%
(B) 30%
(C) 44%
(D) 50%
(E) 56%
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C
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Re: The list price of a commodity is the price after a 20% discount on the [#permalink] New post   11 Apr 2019, 00:49
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Bunuel wrote:
The list price of a commodity is the price after a 20% discount on the retail price. The festival discount price on the commodity is the price after a 30% discount on the list price. Customers purchase commodities from stores at a festival discount price. What is the effective discount offered by the stores on the commodity on its retail price?

(A) 20%
(B) 30%
(C) 44%
(D) 50%
(E) 56%



Let assume the value of retail price = 100

then list price = 80 (after 20% discount on retail price)

price after festival discount applied = 56 ( after 30% discount on list price)

Total discount = 100 - 56 = 44%

C is the correct answer.
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Re: The list price of a commodity is the price after a 20% discount on the [#permalink] New post   11 Apr 2019, 00:55
The list price of a commodity is the price after a 20% discount on the retail price. The festival discount price on the commodity is the price after a 30% discount on the list price. Customers purchase commodities from stores at a festival discount price. What is the effective discount offered by the stores on the commodity on its retail price?

(A) 20%
(B) 30%
(C) 44%
(D) 50%
(E) 56%

Retail price = 100
list price = 0.8*100 = 80
Festive discount price = 0.7*(80) = 56

Discount = 100-56 = 44
implies 44%

Option 'C' is correct
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Re: The list price of a commodity is the price after a 20% discount on the [#permalink] New post   22 Sep 2020, 11:32
Bunuel wrote:
The list price of a commodity is the price after a 20% discount on the retail price. The festival discount price on the commodity is the price after a 30% discount on the list price. Customers purchase commodities from stores at a festival discount price. What is the effective discount offered by the stores on the commodity on its retail price?

(A) 20%
(B) 30%
(C) 44%
(D) 50%
(E) 56%


Successive changes in percentage
Effective change is given simply by the formula
X + Y + XY/100 where x and y denote the successive percentage changes

Make sure you use the correct sign for x and y i.e positive for increase (or hike) and negative ( or discount)

Now,
Effective percentage change is

-20-30 + (-20)(-30)/100 = -44
Negative sign denotes decrement ( or discount)

Hence option C

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Re: The list price of a commodity is the price after a 20% discount on the [#permalink]
22 Sep 2020, 11:32
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