A screwdriver and hammer currently have the same price. If the price of the screwdriver rises by 5 percent and that of the hammer rises by 3 percent, how much more as percent will it cost to buy 3 screwdrivers and 3 hammers?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
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the hammer rises
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sanju09
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abhishilpi
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GMATGuruNY
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Since we're buying the same number of each, we can simply figure out how much the total price will increase if we buy 1 hammer and 1 screwdriver; the increase in percentage will be the same.sanju09 wrote:A screwdriver and hammer currently have the same price. If the price of the screwdriver rises by 5 percent and that of the hammer rises by 3 percent, how much more as percent will it cost to buy 3 screwdrivers and 3 hammers?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
The original price is not specified, so we can just plug in our own number:
s = 50, h = 50, total = 50 + 50 =100
new s = 50 + .05(50) = 50 + 2.50 = 52.50
new h = 50 + .03(50) = 50 + 1.50 = 51.50.
new total = 52.50 + 51.50 = 104
old total to new total = 100 to 104, an increase of 4%.
The correct answer is C.
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Stuart@KaplanGMAT
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We can also answer this question with weighted averages, which is simple in this case since each item has the same weight.sanju09 wrote:A screwdriver and hammer currently have the same price. If the price of the screwdriver rises by 5 percent and that of the hammer rises by 3 percent, how much more as percent will it cost to buy 3 screwdrivers and 3 hammers?
(A) 3
(B) 3.5
(C) 4
(D) 4.5
(E) 5
Since we're buying an equal number of hammers and screwdrivers, each one has .5 weight in our average. So:
.5(3%) + .5(5%) = 1.5% + 2.5% = 4%... choose (C).
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pradeepkaushal9518
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my approach is very simple take price of screwdriver and hammer as 100
screwdriver 5% increase means 105 like wise hammer 103
3 screwdirver cost 315 and 3 hammer will cost 309 so total 624
with original price 300 and 300 = 600
so 24*100/600= 4 %
stuart
i think u should ban sanju09 for posting simple questions those i can also solve.
screwdriver 5% increase means 105 like wise hammer 103
3 screwdirver cost 315 and 3 hammer will cost 309 so total 624
with original price 300 and 300 = 600
so 24*100/600= 4 %
stuart
i think u should ban sanju09 for posting simple questions those i can also solve.
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outreach
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each screwdriver- x
each hammer - x
originally
3 screwdrivers and 3 hammers=6x
new price
each screwdriver- 1.05x
each hammer - 1.03y
3 screwdrivers and 3 hammers=3.15x+3.09x=6.24x
6 is 100%
6.24 is ?%
answer C
each hammer - x
originally
3 screwdrivers and 3 hammers=6x
new price
each screwdriver- 1.05x
each hammer - 1.03y
3 screwdrivers and 3 hammers=3.15x+3.09x=6.24x
6 is 100%
6.24 is ?%
answer C
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