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27 Feb 2018, 23:40
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25% (medium)

Question Stats:

79% (00:59) correct 21% (00:57) wrong based on 38 sessions

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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

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What was the original price of a radio that sold for $70 during a 20% [#permalink] ### Show Tags 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] ### Show Tags 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 _________________ Senior SC Moderator Joined: 22 May 2016 Posts: 3077 What was the original price of a radio that sold for$70 during a 20%  [#permalink]

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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

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 _________________ SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here. Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 6925 Location: United States (CA) Re: What was the original price of a radio that sold for$70 during a 20%  [#permalink]

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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

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