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PCAT Quantitative Reasoning – Bagel Stand Profits

  • by Sam
  • Oct 25, 2017
  • PCAT Question of the Day

The quarterly sales at a bagel stand are shown in the table below. The bagel stand sells plain bagels for $1.50 each, cinnamon bagels for $1.80 each, and sesame bagels for $1.60 each. If it costs the bagel stand $0.50 to make each bagel, which quarter had the highest profit?

  1. Q1
  2. Q2
  3. Q3
  4. Q4

 

Explanation

A is correct. To solve, which can simply calculate the profit in each quarter using a calculator. First we must take into account the $0.50 manufacturing cost, so the profit per bagel is:

Plain: $1.50 – $0.50 = $1.00

Cinnamon = $1.80 – $0.50 = $1.30

Sesame = $1.60 – $0.50 = $1.10

Then we can calculate the profit from each quarter by multiplying the number of each type of bagel sold by its profit value, and then adding these together.

Q1: (5100)($1.00) + (4250)($1.30) + (1300)($1.10) = $12,055

Q2: (4930)($1.00) + (3800)($1.30) + (1510)($1.10) = $11,531

Q3: (5600)($1.00) + (3750)($1.30) + (1420)($1.10) = $12,037

Q4: (5840)($1.00) + (2900)($1.30) + (1580)($1.10) = $11,348

Therefore, the highest profit occurred in quarter 1.

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