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22 May 2018, 02:41
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Difficulty:

35% (medium)

Question Stats:

64% (01:24) correct 36% (01:12) wrong based on 33 sessions

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A retailer has a sale with a 20% discount off the normal $200 retail price of a dishwasher, knowing that the sale price allows for a profit equal to 25% of the price he had originally paid for the dishwasher. How much did the retailer originally pay for the dishwasher? (A)$96
(B) $120 (C)$128
(D) $144 (E)$160

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Manish

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Re: A retailer has a sale with a 20% discount off the normal $200 [#permalink] ### Show Tags 22 May 2018, 02:45 1 Sale Price is$160
One strategy after determining the sale price could be use answer choices and add 25% to each answer choice. The answer which get you to $160 after adding 25% is the correct answer choice. In this case its$128 + 25% of $128 =$160!
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Manish

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A retailer has a sale with a 20% discount off the normal $200 [#permalink] ### Show Tags 22 May 2018, 05:39 CAMANISHPARMAR wrote: A retailer has a sale with a 20% discount off the normal$200 reteail price of a dishwasher, knowing that the sale price allows for a profit equal to 25% of the price he had originally paid for the dishwasher. How much did the retailer originally pay for the dishwasher?

(A) $96 (B)$120
(C) $128 (D)$144
(E) $160 Short (.8*$200)=1.25C
$160=1.25C C = $$\frac{160}{1.25}=128$$ Explanation The trick here is to avoid getting bamboozled by language. 1) Retail price = $$200$$, which is discounted by 20% to equal 2) Actual sell price, SP SP is 20% off of$200
SP = 80% of $200 SP = (.80 *$200) = $160 3) Profit and cost? Profit is 25% of the original cost, C, so Profit = .25C (Sell price - profit) = Cost $$160 - .25C = C$$ $$160 = 1.25C$$ $$C=\frac{160}{1.25}=\frac{160}{(\frac{5}{4})}=(160*\frac{4}{5})=128$$ The retailer originally paid$128 for the dishwasher

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A retailer has a sale with a 20% discount off the normal $200 &nbs [#permalink] 22 May 2018, 05:39 Display posts from previous: Sort by # A retailer has a sale with a 20% discount off the normal$200

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