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

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

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New post 19 Aug 2018, 09:42
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A
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C
D
E

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83% (00:54) correct 17% (01:09) wrong based on 67 sessions

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

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New post 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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New post 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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New post 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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New post 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  [#permalink]

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New post 24 Jan 2019, 06:51
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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


A shirt that costs k dollars is increased by 30%,
So, the new coast = k + (30% of k)
= k + 0.3k
= 1.3k

ASIDE
So, increasing a value by 30% is the same as multiplying that value by 1.3
Similarly, increasing a value by 20% is the same as multiplying that value by 1.2
And increasing a value by 78% is the same as multiplying that value by 1.78
etc

The price is increased by an additional 50%.
New price = (1.5)(1.3k)
= 1.95k

Answer: 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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New post 26 Jan 2019, 13:39
Hi All,

We're told that the price of a shirt that costs K dollars is increased by 30%, then that price is increased by an additional 50%. We're asked for the final price of the shirt in dollars, in terms of K. This question can be solved in a number of different ways - including Algebraically and by TESTing VALUES. Based on the answer choices though, you can actually answer this question with just a little logic.

Increasing a value by 30% and then increasing that new overall value by 50% is a concept that's sometimes referred to as "interest on top of interest." In simple terms, it means that the overall increase will be greater than the sum of the two individual increases (since the second increase will be based on the prior increased-value - and not the starting value). Here, that would mean that the overall increase would be GREATER than 30+50 = 80%. There's only one answer that matches...

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

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New post 27 Jan 2019, 05:47
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



Let the k= 1000.........price with 30% increase = 1300...............Price with 50% increase= 1950

It is obvious that one answer fits 1.95K= 1950

Answer: 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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New post 01 Feb 2019, 18:32
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


The new price of the shirt is k x 1.3 x 1.5 = 1.95k.

Answer: E
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Re: A shirt that costs k dollars is increased by 30%, then by an additiona   [#permalink] 01 Feb 2019, 18:32
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