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What was the original price of a radio that sold for $70 during a 20%

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What was the original price of a radio that sold for $70 during a 20%  [#permalink]

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New post 27 Feb 2018, 23:40
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A
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C
D
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What was the original price of a radio that sold for $70 during a 20%  [#permalink]

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New post 28 Feb 2018, 00:57
Bunuel wrote:
What was the original price of a radio that sold for $70 during a 20%-off sale?

(A) $84

(B) $56

(C) $87.50

(D) $92

(E) $90



If the discount of 20% is applied to a product of price $100, the cost at which the product is sold is $80!

The proportion will be SP:80 - Discount:20 - MP:100 (4x - x - 5x)

We are given the cost of the radio was $70 after a discount of 20% was applied.

Therefore, the marked price on the radio was \($70*\frac{5}{4} = $\frac{350}{4} = $87.5\)(Option C)
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Re: What was the original price of a radio that sold for $70 during a 20%  [#permalink]

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New post 28 Feb 2018, 11:15

Solution



Let’s assume the original price of the radio to be x.

After 20% off, the price of radio becomes $70.

Thus, we can write:

    • $70= Original price- 20% of original price.
    • $70= x- 20/100 * x
    • $70= x- 0.2 x
    • $70= 0.8x
    • x= $70/.8

    • X= $87.50

Therefore, the original price of the radio was $87.50.

Answer: C
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What was the original price of a radio that sold for $70 during a 20%  [#permalink]

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New post 28 Feb 2018, 11:55
Bunuel wrote:
What was the original price of a radio that sold for $70 during a 20%-off sale?

(A) $84

(B) $56

(C) $87.50

(D) $92

(E) $90

Using answer choices

Start with C) Original price = $87.50

Long way: Dollar amount "off" =
(Original P - 20% of original P)
20% of P: \(\frac{2}{10}*($87.5)=($8.75 * 2)= $17.5\)
Sale price: \(($87.50 - $17.50) = $70\)
That's a match.

Short way: 20% off = 80% of original price
\(\frac{8}{10}*$87.5=($8.75 * 8)= $70\)

Answer C
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Re: What was the original price of a radio that sold for $70 during a 20%  [#permalink]

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New post 01 Mar 2018, 18:32
Bunuel wrote:
What was the original price of a radio that sold for $70 during a 20%-off sale?

(A) $84

(B) $56

(C) $87.50

(D) $92

(E) $90


We can let n = the original price and create the following equation:

70 = 0.8n

87.5 = n

Answer: C
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Re: What was the original price of a radio that sold for $70 during a 20%   [#permalink] 01 Mar 2018, 18:32
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