Ivy Software Business Math and Statistics Exam ACTUAL
EXAM 2026/2027 | Questions and 100% Verified
Correct Detailed ANSWER>.>s | Graded A+ | Pass
Guaranteed - A+ Graded
QUESTION 1
A retailer purchases a laptop for $800 and sells it for $1,200. What is the markup percentage based on
cost?
A) 33.33%
B) 50%
C) 40%
D) 60%
Correct ANSWER>.>: B
Rationale for Option A: 33.33% is the markup percentage based on selling price ($400 ÷ $1,200), not
based on cost. This is a common error when students confuse the base of the markup calculation.
Rationale for Option B: Correct. Markup based on cost = (Selling Price − Cost) ÷ Cost × 100 = ($1,200 −
$800) ÷ $800 × 100 = $400 ÷ $800 × 100 = 50%.
Rationale for Option C: 40% would result from dividing the markup by an incorrect figure or
miscalculating the difference between selling price and cost.
Rationale for Option D: 60% would result from adding an extra amount to the numerator or using an
incorrect cost figure in the denominator.
QUESTION 2
What is the simple interest earned on a principal of $5,000 at an annual rate of 6% for 3 years?
A) $300
B) $600
C) $900
,D) $1,200
Correct ANSWER>.>: C
Rationale for Option A: $300 represents the interest for only one year ($5,000 × 0.06 × 1), not three
years. This error occurs when the time factor is omitted.
Rationale for Option B: $600 represents the interest for two years. This error occurs when the student
miscalculates the time period.
Rationale for Option C: Correct. Simple Interest = Principal × Rate × Time = $5,000 × 0.06 × 3 = $900.
Rationale for Option D: $1,200 would result from using a rate of 8% instead of 6%, or incorrectly
applying compound interest logic to a simple interest problem.
QUESTION 3
A store offers a trade discount series of 20/15/10 on a product with a list price of $2,000. What is the
net price?
A) $1,122
B) $1,224
C) $1,360
D) $1,440
Correct ANSWER>.>: B
Rationale for Option A: $1,122 would result from incorrectly adding the discount percentages (20% +
15% + 10% = 45%) and applying a single 45% discount, then making an arithmetic error.
Rationale for Option B: Correct. Net Price = $2,000 × (1 − 0.20) × (1 − 0.15) × (1 − 0.10) = $2,000 × 0.80 ×
0.85 × 0.90 = $1,224.
Rationale for Option C: $1,360 results from applying only the first two discounts: $2,000 × 0.80 × 0.85 =
$1,360, forgetting the third discount.
Rationale for Option D: $1,440 results from applying only the 20% and 10% discounts while skipping the
15% discount.
QUESTION 4
The mean of the following data set is: 12, 15, 18, 20, 25
A) 16
B) 18
C) 20
D) 22
Correct ANSWER>.>: B
,Rationale for Option A: 16 is below the actual mean and would result from an addition error or omitting
one of the values in the sum.
Rationale for Option B: Correct. Mean = (12 + 15 + 18 + 20 + 25) ÷ 5 = 90 ÷ 5 = 18.
Rationale for Option C: 20 is the fourth value in the data set and might be selected by confusing the
mean with a specific data point or making an addition error.
Rationale for Option D: 22 exceeds the actual mean and would result from adding an extra value or
miscalculating the sum.
QUESTION 5
An employee earns $25 per hour and worked 45 hours in a week. Overtime is paid at 1.5 times the
regular rate for hours exceeding 40. What is the gross pay?
A) $1,125.00
B) $1,187.50
C) $1,250.00
D) $1,312.50
Correct ANSWER>.>: B
Rationale for Option A: $1,125.00 results from paying all 45 hours at the regular rate without accounting
for overtime ($25 × 45).
Rationale for Option B: Correct. Regular pay = $25 × 40 = $1,000. Overtime pay = $25 × 1.5 × 5 =
$187.50. Gross pay = $1,000 + $187.50 = $1,187.50.
Rationale for Option C: $1,250.00 results from paying all 45 hours at the overtime rate ($25 × 1.5 × 45 ÷
1.5) or miscalculating overtime hours.
Rationale for Option D: $1,312.50 results from paying all 45 hours at the overtime rate ($37.50 × 45 =
$1,687.50 is not this) or adding overtime incorrectly.
QUESTION 6
A company's revenue increased from $250,000 to $325,000. What is the percentage increase?
A) 25%
B) 30%
C) 35%
D) 40%
Correct ANSWER>.>: B
Rationale for Option A: 25% would result from using the new revenue as the base ($75,000 ÷ $300,000)
or making a calculation error.
, Rationale for Option B: Correct. Percentage increase = (New − Old) ÷ Old × 100 = ($325,000 − $250,000)
÷ $250,000 × 100 = $75,000 ÷ $250,000 × 100 = 30%.
Rationale for Option C: 35% would result from an arithmetic error in calculating the difference or using
an incorrect base amount.
Rationale for Option D: 40% would result from using $75,000 ÷ $187,500 or another incorrect
denominator.
QUESTION 7
What is the compound interest earned on $10,000 invested at 8% compounded annually for 3 years?
A) $2,400.00
B) $2,486.40
C) $2,597.12
D) $2,653.19
Correct ANSWER>.>: C
Rationale for Option A: $2,400.00 is the simple interest ($10,000 × 0.08 × 3), not compound interest.
This ignores the effect of compounding.
Rationale for Option B: $2,486.40 is the compound interest for only 2 years, not 3 years.
Rationale for Option C: Correct. Amount = $10,000 × (1.08)³ = $10,000 × 1.259712 = $12,597.12.
Compound Interest = $12,597.12 − $10,000 = $2,597.12.
Rationale for Option D: $2,653.19 would result from using a higher rate or an additional compounding
period.
QUESTION 8
The median of the data set 3, 7, 9, 12, 15, 18, 22 is:
A) 9
B) 12
C) 15
D) 18
Correct ANSWER>.>: B
Rationale for Option A: 9 is the third value and would be selected if the student incorrectly identifies the
middle position in a 7-element set.
Rationale for Option B: Correct. With 7 values, the median is the 4th value (position (7+1)÷2 = 4). The
4th value is 12.
EXAM 2026/2027 | Questions and 100% Verified
Correct Detailed ANSWER>.>s | Graded A+ | Pass
Guaranteed - A+ Graded
QUESTION 1
A retailer purchases a laptop for $800 and sells it for $1,200. What is the markup percentage based on
cost?
A) 33.33%
B) 50%
C) 40%
D) 60%
Correct ANSWER>.>: B
Rationale for Option A: 33.33% is the markup percentage based on selling price ($400 ÷ $1,200), not
based on cost. This is a common error when students confuse the base of the markup calculation.
Rationale for Option B: Correct. Markup based on cost = (Selling Price − Cost) ÷ Cost × 100 = ($1,200 −
$800) ÷ $800 × 100 = $400 ÷ $800 × 100 = 50%.
Rationale for Option C: 40% would result from dividing the markup by an incorrect figure or
miscalculating the difference between selling price and cost.
Rationale for Option D: 60% would result from adding an extra amount to the numerator or using an
incorrect cost figure in the denominator.
QUESTION 2
What is the simple interest earned on a principal of $5,000 at an annual rate of 6% for 3 years?
A) $300
B) $600
C) $900
,D) $1,200
Correct ANSWER>.>: C
Rationale for Option A: $300 represents the interest for only one year ($5,000 × 0.06 × 1), not three
years. This error occurs when the time factor is omitted.
Rationale for Option B: $600 represents the interest for two years. This error occurs when the student
miscalculates the time period.
Rationale for Option C: Correct. Simple Interest = Principal × Rate × Time = $5,000 × 0.06 × 3 = $900.
Rationale for Option D: $1,200 would result from using a rate of 8% instead of 6%, or incorrectly
applying compound interest logic to a simple interest problem.
QUESTION 3
A store offers a trade discount series of 20/15/10 on a product with a list price of $2,000. What is the
net price?
A) $1,122
B) $1,224
C) $1,360
D) $1,440
Correct ANSWER>.>: B
Rationale for Option A: $1,122 would result from incorrectly adding the discount percentages (20% +
15% + 10% = 45%) and applying a single 45% discount, then making an arithmetic error.
Rationale for Option B: Correct. Net Price = $2,000 × (1 − 0.20) × (1 − 0.15) × (1 − 0.10) = $2,000 × 0.80 ×
0.85 × 0.90 = $1,224.
Rationale for Option C: $1,360 results from applying only the first two discounts: $2,000 × 0.80 × 0.85 =
$1,360, forgetting the third discount.
Rationale for Option D: $1,440 results from applying only the 20% and 10% discounts while skipping the
15% discount.
QUESTION 4
The mean of the following data set is: 12, 15, 18, 20, 25
A) 16
B) 18
C) 20
D) 22
Correct ANSWER>.>: B
,Rationale for Option A: 16 is below the actual mean and would result from an addition error or omitting
one of the values in the sum.
Rationale for Option B: Correct. Mean = (12 + 15 + 18 + 20 + 25) ÷ 5 = 90 ÷ 5 = 18.
Rationale for Option C: 20 is the fourth value in the data set and might be selected by confusing the
mean with a specific data point or making an addition error.
Rationale for Option D: 22 exceeds the actual mean and would result from adding an extra value or
miscalculating the sum.
QUESTION 5
An employee earns $25 per hour and worked 45 hours in a week. Overtime is paid at 1.5 times the
regular rate for hours exceeding 40. What is the gross pay?
A) $1,125.00
B) $1,187.50
C) $1,250.00
D) $1,312.50
Correct ANSWER>.>: B
Rationale for Option A: $1,125.00 results from paying all 45 hours at the regular rate without accounting
for overtime ($25 × 45).
Rationale for Option B: Correct. Regular pay = $25 × 40 = $1,000. Overtime pay = $25 × 1.5 × 5 =
$187.50. Gross pay = $1,000 + $187.50 = $1,187.50.
Rationale for Option C: $1,250.00 results from paying all 45 hours at the overtime rate ($25 × 1.5 × 45 ÷
1.5) or miscalculating overtime hours.
Rationale for Option D: $1,312.50 results from paying all 45 hours at the overtime rate ($37.50 × 45 =
$1,687.50 is not this) or adding overtime incorrectly.
QUESTION 6
A company's revenue increased from $250,000 to $325,000. What is the percentage increase?
A) 25%
B) 30%
C) 35%
D) 40%
Correct ANSWER>.>: B
Rationale for Option A: 25% would result from using the new revenue as the base ($75,000 ÷ $300,000)
or making a calculation error.
, Rationale for Option B: Correct. Percentage increase = (New − Old) ÷ Old × 100 = ($325,000 − $250,000)
÷ $250,000 × 100 = $75,000 ÷ $250,000 × 100 = 30%.
Rationale for Option C: 35% would result from an arithmetic error in calculating the difference or using
an incorrect base amount.
Rationale for Option D: 40% would result from using $75,000 ÷ $187,500 or another incorrect
denominator.
QUESTION 7
What is the compound interest earned on $10,000 invested at 8% compounded annually for 3 years?
A) $2,400.00
B) $2,486.40
C) $2,597.12
D) $2,653.19
Correct ANSWER>.>: C
Rationale for Option A: $2,400.00 is the simple interest ($10,000 × 0.08 × 3), not compound interest.
This ignores the effect of compounding.
Rationale for Option B: $2,486.40 is the compound interest for only 2 years, not 3 years.
Rationale for Option C: Correct. Amount = $10,000 × (1.08)³ = $10,000 × 1.259712 = $12,597.12.
Compound Interest = $12,597.12 − $10,000 = $2,597.12.
Rationale for Option D: $2,653.19 would result from using a higher rate or an additional compounding
period.
QUESTION 8
The median of the data set 3, 7, 9, 12, 15, 18, 22 is:
A) 9
B) 12
C) 15
D) 18
Correct ANSWER>.>: B
Rationale for Option A: 9 is the third value and would be selected if the student incorrectly identifies the
middle position in a 7-element set.
Rationale for Option B: Correct. With 7 values, the median is the 4th value (position (7+1)÷2 = 4). The
4th value is 12.
