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Jack and Mark both received hourly wage increases of 6 perce [#permalink]
27 Jan 2012, 04:10

3

This post received KUDOS

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This post was BOOKMARKED

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Difficulty:

55% (hard)

Question Stats:

58% (01:53) correct
42% (00:53) wrong based on 520 sessions

Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's?

(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's (2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3

This Q is taken from the source above but the answer is not clear.

Q Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's? (1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's (2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3.

PArt (1) Since the question asks only the difference between 2 qty which has undergone similar percent increase, the difference between the two will also undergo same percent increase. so the answer is 5 * 1.06 . SUFFICIENT

Part (2) the ratio b/w 2 qty will remain the same if the 2 qty will have similar percent change. However knowing the ratio will not help us in calculating the difference. so is INSUFFICIENT

This Q is taken from the source above but the answer is not clear.

Q Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's? (1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's (2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3.

PArt (1) Since the question asks only the difference between 2 qty which has undergone similar percent increase, the difference between the two will also undergo same percent increase. so the answer is 5 * 1.06 . SUFFICIENT

Part (2) the ratio b/w 2 qty will remain the same if the 2 qty will have similar percent change. However knowing the ratio will not help us in calculating the difference. so is INSUFFICIENT

Pl Confirm assumptions used in both parts.

Yes, your logic is correct.

Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's?

(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's --> no need for algebra here: as wages increase by 6% then the difference between them also increases by the same 6% --> new difference 5*1.06. Sufficient.

(2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3 --> just ratio is not enough to get the value of new difference, as for different hourly wages we'll get different result: bigger the wages the bigger the difference will be. Not sufficient.

Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink]
26 Jun 2014, 10:18

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Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink]
11 Jan 2015, 00:06

Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's?

(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's (2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3

(1) M before x J before x+5 M after x*1.06 J after (x+5)*1.06 J after - M after = (x+5)*1.06-x*1.06 ---> 1.06(x+5-x) ---> 1.06*5 . Sufficient .

(2) M before 3x J before 4x M after 3x*1.06 J after 4x*1.06 J after - M after = 4x*1.06-3x*1.06 ---> 1.06(4x-3x) ---> 1.06*x ---> value of x?. Not Sufficient .

Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink]
11 Jan 2015, 15:40

Expert's post

Hi All,

Ratios show up on a number of questions on Test Day, so it's important to know your ratio rules (and the various 'formats' that ratios can come in). If you don't immediately see the ratio rules that appear in this question, you can still get to the correct answer by TESTing VALUES.

We're told that Jack and Mark each receive a raise of 6% to their hourly wages. We're asked how much larger Jack's hourly wage is AFTER the increases.

Fact 1: Before the increases, Jack's wage was $5/hour more than Mark's wage

IF.... Jack = $10/hour Mark = $5/hour After the raises..... Jack = 10(1.06) = 10.60 Mark = 5(1.06) = 5.30 So.....Jack's wage is $5.30 more than Mark's

IF.... Jack = $11/hour Mark = $6/hour After the raises.... Jack = 11(1.06) = 11.66 Mark = 6(1.06) = 6.36 So....Jack's wage is $5.30 more than Mark's

The result STAYS $5.30 even when the numbers change, so $5.30 is THE difference. Fact 1 is SUFFICIENT

Fact 2: Before the raises, the ratio of Jack's wage to Mark's wage was 4:3

IF..... Jack = $4/hour Mark = $3/hour After the raises.... Jack = 4(1.06) = 4.24 Mark = 3(1.06) = 3.18 So....Jack's wage is $1.06 more than Mark's

IF.... Jack = $8/hour Mark = $6/hour After the raises.... Jack = 8(1.06) = 8.48 Mark = 6(1.06) = 6.36 So....Jack's wage is $2.12 more than Mark's

These two results are DIFFERENT. Fact 2 is INSUFFICIENT

Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink]
30 Mar 2015, 06:46

1

This post was BOOKMARKED

1) x and x+5 are the wages. After increase, their wages : 1.06x and 1.06x+1.06*5. Thus diff = 1.06*5. SUFF. 2) x and 4x/3 are the wages. After increase, their wages : 1.06x and 1.06*4*x/3. Thus diff contains x. Not SUFF.

Ans A. (I use symbol x for clarity. No need to calculate the value of x, since we know that by taking the diff, the x term cancels in 1 but remains in 2) _________________

Re: Jack and Mark both received hourly wage increases of 6 perce [#permalink]
31 Mar 2015, 00:09

Expert's post

docabuzar wrote:

Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's?

(1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's (2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3

This Q is taken from the source above but the answer is not clear.

Q Jack and Mark both received hourly wage increases of 6 percent. After the increases, Jack' hourly wage was how many dollars per hour more than Mark's? (1) Before the wage increases, Jack's hourly wage is $5 per hour more than Mark's (2) Before the wage increases, the ratio of the Jack's hourly wage to Mark's hourly wage is 4 to 3.

PArt (1) Since the question asks only the difference between 2 qty which has undergone similar percent increase, the difference between the two will also undergo same percent increase. so the answer is 5 * 1.06 . SUFFICIENT

Part (2) the ratio b/w 2 qty will remain the same if the 2 qty will have similar percent change. However knowing the ratio will not help us in calculating the difference. so is INSUFFICIENT

Pl Confirm assumptions used in both parts.

An interesting thing to note here is that statement 1 uses the same concept as compound interest. In compound interest, you earn the rate of interest not only on the principal but also on the interest earned till then. We know that Jack's hourly wage is $5 more than Mark. When their wages increase by 6%, Jack earns an extra increase of 6% of $5. So now Jack's wage will be $5+$0.3 = $5.3 more than Mark's wage.

Statement 2 gives us a ratio of wages and not the actual wages. Hence, without any actual number, there is no way we can find the difference in their wages. _________________

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