A worker is hired for 6 days. He is paid $2 more for each day of work

Question

A worker is hired for 6 days. He is paid $2 more for each day of work than he was paid for the preceding day of work. How much was he paid for the first day of work?

(1) His total wages for the 6 days were $150.
(2) He was paid 150 percent of his first day’s pay for the sixth day

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agrasan · Answer

The beauty of this question is we can clearly see a sequence  (arithmetic progression)   of his wages. Let's say first day wage is $a.

(1) His total wages for the 6 days were $150.
 Sufficient , we know total terms as 6, constant wage difference as $2 and sum as $150 so we can easily determine $a.

(2) He was paid 150 percent of his first day’s pay for the sixth day
 Sufficient 
First day wage = $a
Sixth day wage = $(a + 10)
$(a+10) = 1.5($a)
We can determine a

Hence,  (D)  is the answer.

Missinga · Answer

A worker is hired for 6 days. He is paid $2 more for each day of work than he was paid for the preceding day of work. How much was he paid for the first day of work?
First day= x 
Second day=x+2 
Third day= x+2+2= x+4 .......
Sixth day= x+5*2= x+10

(1) His total wages for the 6 days were $150.
x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)=150
6x+30=150 ; 6x=120
x=20 
Sufficient

(2) He was paid 150 percent of his first day’s pay for the sixth day.
Sixth day= 1.50 *First Day 
x+10 = 1.50*x 
0.5x=10 
x=10/0.5=20 
Sufficient

D

ManifestDreamMBA · Answer

Let first day work pay be x

So, he was paid x, x+2, x+4,...x+10

x=?

S1
His total wages for the 6 days were $150.
150 = 6*(x+x+10)/2
x=20
Sufficient

S2
He was paid 150 percent of his first day’s pay for the sixth day
1.5x = x+10
x=20
Sufficient

Souradeep17 · Answer

if day 1 he is paid X , then day :2 x+2 . day 3 x+4 and so on ....

now he was hired for 6 days .

Option 1 at the end of 6 days he was paid 150.

So we can say X+(X+2)+(X+4)+(x+6)+(x+8)+(x+10)=150 
6x+30=150 . We can solve for X (hence satisfied)

Option 2
Day 6 salary =x+10 
Day 1 salary X
150% of X=x+10
3/2(x)=x+10

Here also we can get the value of X

Hence Option D. Each option alone is sufficient

A worker is hired for 6 days. He is paid $2 more for each day of work

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GMAT Data Sufficiency (DS) Questions

A worker is hired for 6 days. He is paid $2 more for each day of work

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