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# A shirt that costs k dollars is increased by 30%, then by an additiona

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Math Expert
Joined: 02 Sep 2009
Posts: 49496
A shirt that costs k dollars is increased by 30%, then by an additiona  [#permalink]

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19 Aug 2018, 09:42
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Difficulty:

15% (low)

Question Stats:

85% (00:40) correct 15% (01:04) wrong based on 27 sessions

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A shirt that costs k dollars is increased by 30%, then by an additional 50%. What is the new price of the shirt in dollars, in terms of k?

(A) 0.2k
(B) 0.35k
(C) 1.15k
(D) 1.8k
(E) 1.95k

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Re: A shirt that costs k dollars is increased by 30%, then by an additiona  [#permalink]

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19 Aug 2018, 11:50
Bunuel wrote:
A shirt that costs k dollars is increased by 30%, then by an additional 50%. What is the new price of the shirt in dollars, in terms of k?

(A) 0.2k
(B) 0.35k
(C) 1.15k
(D) 1.8k
(E) 1.95k

Original cost=\$k
Price of the shirt is increased by 30%. So, new price of the shirt=$$k(1+\frac{30}{100})=1.3k$$

Again, Price of the shirt is increased by an additional 50%, So, new price of the shirt=$$1.3k(1+\frac{50}{100})=1.3k*1.5=1.95k$$

Ans. (E)
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Re: A shirt that costs k dollars is increased by 30%, then by an additiona  [#permalink]

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19 Aug 2018, 15:55
=k*(1.30)(1.5) = 1.95k

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Re: A shirt that costs k dollars is increased by 30%, then by an additiona  [#permalink]

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20 Aug 2018, 07:16
Bunuel wrote:
A shirt that costs k dollars is increased by 30%, then by an additional 50%. What is the new price of the shirt in dollars, in terms of k?

(A) 0.2k
(B) 0.35k
(C) 1.15k
(D) 1.8k
(E) 1.95k

$$30 + 50 + \frac{30*50}{100}$$

$$= 80 + 15$$

So, There is a net Increase in value by 95%, thus the new price of the shirt in dollar terms is 1.95k, Answer must be (E)
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Re: A shirt that costs k dollars is increased by 30%, then by an additiona  [#permalink]

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20 Aug 2018, 08:59
increased by 30%=1.3k
increased by further 50%=1.5*1.3k=1.95k
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Re: A shirt that costs k dollars is increased by 30%, then by an additiona &nbs [#permalink] 20 Aug 2018, 08:59
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