When fan pricing dropped by 20%, the quantity of units sold climbed by 40%. What was the net effect on monetary sales revenue?
Show answer Hide answer
Answer: A. 12 % Increase
Explanation
A 20 percent drop in fan pricing scales the price factor down to 0.80 of its original level. A 40 percent increase in units sold scales the quantity factor up to 1.40 of its original level. Multiplying 0.80 by 1.40 yields a net revenue factor of 1.12, representing a 12 percent increase in monetary sales revenue. Monetary sales revenue is defined as the product of unit selling price and total sales volume. Combined percentage impacts are evaluated by multiplying the individual percentage multipliers together. A net decimal multiplier of 1.12 corresponds directly to a twelve percent overall increase in revenue.
Option B incorrectly claims a revenue decrease, contradicting the positive product of the scaling factors. Option C overestimates the net revenue growth by misapplying the percentage multiplier factors. Option D assumes an excessive revenue increase that exceeds the actual mathematical product of 1.12.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. When grain milling incurs a 5% loss, a nation must import 20 million sacks; however, reducing the loss to 2% lowers imports to 15 million sacks. Determine the total grain yield produced natively within the country?
Show answer Hide answer
Answer: D. 166 2/3 m
A five percent milling loss requiring twenty million import sacks establishes a proportional baseline for total grain volume. Reducing the loss to two percent lowers the required import volume to fifteen million sacks of...
Q2. Which among the options possesses the greatest quantity of divisors?
Show answer Hide answer
Answer: C. 176
Prime factorizing each candidate number reveals the exact exponents required to calculate total divisors. The number one hundred seventy-six factors into two to the fourth power multiplied by eleven to the first. Adding...
Q3. Adding 2 to half of one-third of one-fifth of an unknown number yields one-fifteenth of that number. Identify the number?
Show answer Hide answer
Answer: C. 60
Solving the algebraic equation systematically isolates the unknown variable to find the correct number. Substituting sixty into the original expression confirms that both sides yield exactly four units. Checking the calc...
Q4. Which of the following geometric figures possesses a greater perimeter than the remainder?
Show answer Hide answer
Answer: C. A rectangle with 10 cm as length and 40 sq.cm as area
The perimeter of the specified rectangle is calculated as two times the sum of length and width. The area is forty square centimeters and the length is ten centimeters, making the width four centimeters. Adding length an...
Q5. If x exceeds z by 20% and y exceeds z by 80%, determine the ratio x:y.
Show answer Hide answer
Answer: D. 2:3
Expressing variable x as one point two times z incorporates the twenty percent excess condition. Expressing variable y as one point eight times z incorporates the eighty percent excess condition. Forming the ratio of x t...
Q6. Which among the following fractional values is the largest?
Show answer Hide answer
Answer: A. 7/8
Converting each fraction into its decimal equivalent clearly demonstrates which numerical value is the greatest. Seven divided by eight results in zero point eight seven five, which exceeds all other choices. Comparing d...