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28 Dec 2005, 09:27
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Pen regularly sell for $15 a pair and Pencil regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of these writing instruments: 3 pairs of Pen and 2 pairs of Pencil. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pencil?
(A) 9%
(B) 10%
(C) 11%
(D) 12%
(E) 15%
(A) 9%
(B) 10%
(C) 11%
(D) 12%
(E) 15%
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28 Dec 2005, 09:45
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It's B
15*x/100= the amount saved buying three pens
18*y/100= the amount saved buying two pairs of pencils
the sum of both amounts has to be $9
So:
3*15*(x/100) + 2*18*(y/100)=9
We know also that x+y=22, so that we can substitute...
45*(22-y)/100 + 36*y/100= 9...
y=10
15*x/100= the amount saved buying three pens
18*y/100= the amount saved buying two pairs of pencils
the sum of both amounts has to be $9
So:
3*15*(x/100) + 2*18*(y/100)=9
We know also that x+y=22, so that we can substitute...
45*(22-y)/100 + 36*y/100= 9...
y=10
28 Dec 2005, 10:14
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B it is. I did it by picking numbers.
The cost of 3 pairs of pens + 2 pairs of pencils without discount= $45+$36=$81
If discount for pencils is @10%, discount amount=$3.6
Therefore discount for pens will be@12%,discount amount=$5.40.
Total of the two discounts=$9.00
The cost of 3 pairs of pens + 2 pairs of pencils without discount= $45+$36=$81
If discount for pencils is @10%, discount amount=$3.6
Therefore discount for pens will be@12%,discount amount=$5.40.
Total of the two discounts=$9.00
