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# GMATClub Toolkit DS Question 93

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GMATClub Toolkit DS Question 93 [#permalink]  24 Jul 2011, 10:29
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40% (01:07) correct 60% (03:51) wrong based on 5 sessions
Hi,

Set T consists of 19 elements. The average of set T is L. If a new element is added to the set and the average grows by K, what is the value of the new element?

a) L(1 + K / 5)
b) L * (K/100) - 20L
c) 20L(1+K/100)
d) 20(1+K/100)-19L
e) L*(K/5)-19L

Spoiler:
My question: So when a question mentions grows by is that always a percentage? In this case, based on the answer, it seems that K is a percentage. Shouldn't it say grows by K% if its a percentage? Or does the word grows is enough to make the % implicit?

In the answer it calculates the new average as (1 + K/100) L whereas I was trying L + K.

Thanks in advance!
[Reveal] Spoiler: OA
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Re: GMATClub Toolkit DS Question 93 [#permalink]  24 Jul 2011, 22:15
I'll go with you.

If questions says "Grows by K", I'd take it as grows by K in absolute terms. If questions wants to convey the "K in percentage terms" , it should say so explicitly.

this can not be taken as implicit.
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Re: GMATClub Toolkit DS Question 93 [#permalink]  25 Jul 2011, 02:38
On the GMAT, whenever something grows by a percentage, you will find it explicitly mentioned. In this instance, grows by K means growing by a factor of K, not by k%.

Remember that these three things are different:
1. Grows by k: This means literally adding k to the original number. If the original number is x, the result is x+k.
2. Grows by k times: This means the new number is the old number plus k times the number. If the original number is x, the result is x + kx = x (1+k)
3. Grows to k times: This means the new number is simply k times the old number. If the original number is x, the result is kx.
4. Grows by k%: In this case, we simply add k% of the number to itself. If the original number is x, the result is x(1 + k/100)
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Re: GMATClub Toolkit DS Question 93   [#permalink] 25 Jul 2011, 02:38
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# GMATClub Toolkit DS Question 93

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