LET General Education Mathematics: Commission Problems
Percentage and commission problems are useful topics to practice for the General Education Mathematics portion of LET/LEPT preparation. To solve these questions correctly, you must understand the relationship between total sales, commission rate, and commission earned.
Practice Question
Question: What is the total sales if, for a 15% rate of commission, an agent gets ₱10,500?
- ₱70,500
- ₱80,500
- ₱70,000
- ₱80,000
Correct Answer: C. ₱70,000
The agent earns ₱10,500, which represents 15% of the total sales. Since the commission amount and commission rate are known, we need to determine the original amount of sales.
Formula for Total Sales
Total Sales = Commission ÷ Commission Rate
Before using the formula, convert the percentage into decimal form:
15% = 15 ÷ 100 = 0.15
Substitute the given values:
Total Sales = ₱10,500 ÷ 0.15
Total Sales = ₱70,000
Why Is ₱70,000 Correct?
To verify the answer, calculate 15% of ₱70,000:
₱70,000 × 0.15 = ₱10,500
The computed commission matches the amount earned by the agent. Therefore, the total sales are ₱70,000, corresponding to choice C.
LET Board Exam Tip: Know When to Multiply or Divide
- To find the commission: Multiply total sales by the commission rate expressed as a decimal.
- To find total sales: Divide the commission amount by the commission rate expressed as a decimal.
For example, if total sales are ₱50,000 and the commission rate is 10%, the commission is ₱50,000 × 0.10 = ₱5,000.
However, if the commission is ₱5,000 and the rate is 10%, the total sales are ₱5,000 ÷ 0.10 = ₱50,000.
Key takeaway: Identify which quantity is missing before choosing the formula. Always convert the percentage rate to a decimal when performing the calculation.
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This article is intended for educational review and LET/LEPT preparation. It is not an official PRC publication.