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# If Jack's and Kate's annual salaried in 1985 were each 10 percent high

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Joined: 27 Sep 2015
Posts: 55
GMAT 1: 410 Q33 V13
WE: Management Consulting (Computer Software)
If Jack's and Kate's annual salaried in 1985 were each 10 percent high  [#permalink]

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20 Dec 2015, 19:29
1
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Difficulty:

25% (medium)

Question Stats:

72% (01:19) correct 28% (01:21) wrong based on 302 sessions

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If Jack's and Kate's annual salaried in 1985 were each 10 percent higher than their respective annual salaries in 1984, what was Jack's annual salary in 1984?

(1) The sum of Jack's and Kate's annual salaries in 1984 was \$50,000.
(2) The sum of Jack's and Kate's annual salaries in 1985 was \$55,000.

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Joined: 27 Sep 2015
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WE: Management Consulting (Computer Software)
Re: If Jack's and Kate's annual salaried in 1985 were each 10 percent high  [#permalink]

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20 Dec 2015, 19:37
1
Given:
Person/Year 1984 1985
Jack's Sj 1.10Sj
Kate,s Sk 1.10Sk

Statement I:
Sj + Sk = \$50,000, Non sufficient

Statement II:

1.10Sj + 1.10Sk = \$55,000 Non sufficient

Both Statements I and II:

SI and SII are same. If you multiply SI with 1.10, you will get SII.
Hence both statements together are also not sufficient.

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Re: If Jack's and Kate's annual salaried in 1985 were each 10 percent high  [#permalink]

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27 Jan 2016, 10:23
Can someone else solve this using any other approach.
I came down to C, without going into any further calculations. I thought that from statement one we have one equation and from the second statement we have another, combining both should give us the salary of the variables. But then when I performed the calculations, after seeing answer is E, a variable cancels out and we are left with nothing. But I don't know, logically speaking, shouldn't the 2 statments suffice?

Here is what I did:
55= J+K
50= 0.9J+0.9K

50= 0.9(55-K)+0.9K; 50=-0.9K+49.5+0.9K
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Re: If Jack's and Kate's annual salaried in 1985 were each 10 percent high  [#permalink]

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29 Jan 2016, 23:52

On DS questions, it's really important that you make sure you're answering the question that is ASKED. This prompt asks us for Jack's salary in 1984, but we're never given enough information to differentiate Jack's salary from Kate's salary.

Here are two quick examples to work through:

1) What if Jack and Kate BOTH had a salary of \$25,000?
2) Now, what if Jack had a salary of \$30,000 and Kate had a salary of \$20,000?

You should see (either with a little bit of 'math work' or 'conceptually') that the correct answer is E.

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Re: If Jack's and Kate's annual salaried in 1985 were each 10 percent high  [#permalink]

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30 Aug 2017, 02:42
1
Both statements give you the same equation (individually and together), which is in 2 variables. Hence its not sufficient.

Hence its straightforward E.
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Re: If Jack's and Kate's annual salaried in 1985 were each 10 percent high  [#permalink]

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28 Sep 2018, 13:40
Basically we are given that Jack’s and Kate’s salaries are each 10% more than the year before

Statement 1) J + K = 50,000 in 1984

No information on Jack’s salary per se.

Insufficient

Statement 2) J + K = 55,000 in 1985

No information on how we have this 55,000 could be 20,35 could be 25,30 etc..

Now combine 1 and 2

We have 10% increase in 1985 yet we cannot say if Jack’s salary in 1984 is 20,25,30 or any other number.

C is insufficient.

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Re: If Jack's and Kate's annual salaried in 1985 were each 10 percent high   [#permalink] 28 Sep 2018, 13:40
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