ISEE Quantitative Comparisons Question 111: Answer and Explanation
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Question: 111
10. A flat-screen TV, regularly priced at $400, is on sale for 10% off, before sales tax of 10% is charged.
- A. The quantity in Column A is greater.
- B. The quantity in Column B is greater.
- C. The two quantities are equal.
- D. The relationship cannot be determined from the information given.
Correct Answer: B
Explanation:
The answer is B
The TV is discounted by 10% first: 0.10 × $400 = $40, and $400 – $40 = $360. The tax is calculated on the sale price: 0.10 × $360 = $36, and $360 + $36 = $396.
In this type of question, the original price does not matter, so plug in $100 to keep things simple. Subtracting 10% brings the price to $90. Adding 10% brings the price to $99. Thus, decreasing a price by a percent and then increasing the price by the same percent will yield a price lower than the original amount.