Roy was paid at a fixed hourly rate for the 38 hours that he worked

Question

﻿Roy was paid at a fixed hourly rate for the 38 hours that he worked in a certain week and at a different fixed hourly rate for the 30 hours that he worked the following week. If Roy's gross weekly pay was the same for both weeks, approximately what was the percent change in his hourly pay rate from the first week to the following week?

(A) 27% decrease
(B) 21% decrease
(C) 0% change
(D) 21% increase
(E) 27% increase

apipat3212 · Accepted Answer

Ans: Option E 27% increase

I solved it by assuming the amount Roy must have been paid during his 38 hours of work which is equal to his 30 hours by taking the LCM of the 2 numbers
i.e. 570
So Roy was paid 570/38 = 15$ per hour in the first week
and 570/30 = 19$ per hour in the following week

%change = 19-15/15 *100 = 26.66 i.e approx 27% increase

GMAT695 · Answer

38 X = 30 Y

19 X = 15 Y

19 x 15 = 15 x 19 
X= 15 
Y=19 
% CHANGE = 19-15/15 X 100 ,  approx 27% ( E )

Bunuel · Answer

Assume ﻿Roy was paid a total of $38 for each week.

In the first week, he was paid $38/38 = $1 per hour.

In the second week, he was paid $38/30, which is a bit less than $39/30 = $13/10 = $1.3. Thus, the approximate percent increase in his hourly pay rate was around 27%.

Answer: E.

cjcalero24 · Answer

I used the percent change formula and some estimation to find the answer:

Percent Change = New - Old / Old (I flipped this numerator of this formula, because we know the change is positive as he made the same amount in 8 less hours)

(38-30)/38 = 8/30

Simplified: 4/19

Estimate: 4/19 is approximately 5/20, which simplifies to 1/4. Now you know your answer is approximately 25%, which is closest to 27%. From there you know its an increase because he made the same amount in less hours

Answer E.) 27% Increase

MartyMurray · Answer

Roy was paid at a fixed hourly rate for the 38 hours that he worked in a certain week and at a different fixed hourly rate for the 30 hours that he worked the following week. If Roy's gross weekly pay was the same for both weeks, approximately what was the percent change in his hourly pay rate from the first week to the following week?

(A) 27% decrease
(B) 21% decrease
(C) 0% change
(D) 21% increase
(E) 27% increase

The change in the hourly rate must have been an increase because he worked fewer hours the second week. So, we're down to (D) and (E).

His number of hours the second week, 30, was a little over 3/4 of the 38 hours the first week. So, to make the pay for the two weeks even, his rate of pay for the second week has to be a little under 4/3 the rate the first week.

So, the increase has to be a little under 1/3.

A 21% increase is not close to a 1/3 increase, and a 27% increase is close to a 1/3 increase. So, (E) it is.

(A) 27% decrease
(B) 21% decrease
(C) 0% change
(D) 21% increase
(E) 27% increase

Correct answer:   E

RockoGmat · Answer

38 hrs x pay for week 1 = 30 hours x pay for week 2

Directly take pay for week 1 = 30 dollars
pay for week 2 = 38 dollars

Increase = 38-30/30 x 100 = 8/30 x 100 = 26.67% = 27%

Noise1st · Answer

1. Find the MCM which is 1140.
2. Divide 1140/38=30 (First week) and 1140/30=38 (Following week)
3. Divide 38/30=1.26666

That means the change was an increase of 27%

Roy was paid at a fixed hourly rate for the 38 hours that he worked

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Roy was paid at a fixed hourly rate for the 38 hours that he worked

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards