Sabrina is contemplating a job switch. She is thinking of leaving her

Question

Tough and Tricky questions: Word Problems.

Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change?

A) 57 
B) 177 
C) 178
D) 377 
E) 378

Kudos for a correct  solution .

Source: Chili Hot GMAT

desaichinmay22 · Answer

salary differential = $40000
commission per sale = $1500*15%=225
No of minimum sales = 40000/225
=178

Ans = C

intheend14 · Answer

Easiest to set up an inequality:

45,000 + 0.15*1,500*x>=85,000
45,000 + 225x>=85000
225x>=40000
x>=1600/9, (177 is just less than this, so we'll go with 178) Choice C

amitshri15 · Answer

Lets say she sales x items so her commission will be : x * 1500*15/100 = 225x
Salary difference is: 85000 - 45000 = 40000

So commission must at least be equal to salary difference i.e. x = 40000/225 = 178 (Approx).
Hence answer is C.

DesiGmat · Answer

My Take -

let the number of sales be n.
as per question -

85000 <= 45000 + 0.15*1500*n
40000<= 225*n
177.78 <= n

Hence option C

PareshGmat · Answer

Answer = C) 178

Deficit in new job = 85000 - 45000 = 40000

Sales commission per unit  = 1500*\frac{15}{100} = 225

Minimum sales required  = \frac{40000}{225} = \frac{1600}{9} = 177.7 \approx{178}

Bunuel · Answer

The correct answer is C.

ScottTargetTestPrep · Answer

Let n represent the least number of sales she makes for the year. We can create the equation:

85,000 = 45,000 + 0.15(1,500n)

40,000 = 0.15(1,500n)

40,000 = 225n

177.78 = n

So she must make at least 178 sales.

Answer: C

Sabrina is contemplating a job switch. She is thinking of leaving her

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