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 =
\(\frac{$160}{1.25}=$128\)ExplanationThe 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
Answer
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