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# A screwdriver and a hammer currently have the same price. If the price

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Math Expert
Joined: 02 Sep 2009
Posts: 55276
A screwdriver and a hammer currently have the same price. If the price  [#permalink]

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29 Oct 2017, 01:17
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Difficulty:

25% (medium)

Question Stats:

69% (01:26) correct 31% (01:47) wrong based on 59 sessions

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A screwdriver and a hammer currently have the same price. If the price of a screwdriver rises by 5% and the price of a hammer goes up by 3%, how much more will it cost to buy 3 screwdrivers and 3 hammers?

(A) 3%
(B) 4%
(C) 5%
(D) 8%
(E) 24%

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Intern
Joined: 26 Aug 2017
Posts: 2
Re: A screwdriver and a hammer currently have the same price. If the price  [#permalink]

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29 Oct 2017, 05:35
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1
Bunuel wrote:
A screwdriver and a hammer currently have the same price. If the price of a screwdriver rises by 5% and the price of a hammer goes up by 3%, how much more will it cost to buy 3 screwdrivers and 3 hammers?

(A) 3%
(B) 4%
(C) 5%
(D) 8%
(E) 24%

Let S= Screwdriver, H= Hammer.
assume Price of H and S = 100 each

Now if raise is 3% and 5% respectively then cost would be, 103 and 105 Respectively

Purchasing 3H and 3S at previous cost= 3(100) + 3(100) = 600
Purchasing 3H and 3S at new cost= 3(103) + 3(105) = 624

% raise = ((624-600)/600)*100=(24/6)=4%

Hence ans is (B)
Intern
Joined: 13 Feb 2017
Posts: 5
Re: A screwdriver and a hammer currently have the same price. If the price  [#permalink]

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29 Oct 2017, 05:57
B 3x0.05 + 3x0.03 ÷ 6

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Re: A screwdriver and a hammer currently have the same price. If the price  [#permalink]

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29 Oct 2017, 07:52
Bunuel wrote:
A screwdriver and a hammer currently have the same price. If the price of a screwdriver rises by 5% and the price of a hammer goes up by 3%, how much more will it cost to buy 3 screwdrivers and 3 hammers?

(A) 3%
(B) 4%
(C) 5%
(D) 8%
(E) 24%

Let Original price be -

Screwdriver = Hammer = 100

Cost of 3 screwdrivers and 3 hammers will be 600

Increased price will be -

Screwdriver = 105
Hammer = 103

Cost of 3 screwdrivers and 3 hammers will be 3*105 + 3*103 = 315 + 309 => 624

Percentage Increase is 24/600*100 = 4%

Thus, correct answer will be (B) 4%

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Abhishek....

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Intern
Joined: 02 Feb 2014
Posts: 38
GPA: 3.33
Re: A screwdriver and a hammer currently have the same price. If the price  [#permalink]

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12 Jan 2018, 03:56
Even though I chose B as the answer, I calculated the percentage increase was a little bit less than 4.
Below is the detail of my calculation :
Screwdriver's Price = 100 increase 5% = 105
Hammer's Price = 200 increase 3% = 206
----------------------------------------------------
3 Screwdriver's Price = 300 increase 5% = 315
3 Hammer's Price = 600 increase 3% = 618
-----------------------------------------------------
Total 900 933

So the percentage increase is (33 / 900) * 100% = 3.667 %

Please let me know if there was a miscalculation.
Re: A screwdriver and a hammer currently have the same price. If the price   [#permalink] 12 Jan 2018, 03:56
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