210 is p% greater than 30. What is the value of p ?
Correct answer: A. 600
- A. 600
- B. 650
- C. 700
- D. 800
Explanation
To find the value of p, we start with the equation 210 = (1 + p/100) * 30. This equation translates to 210 representing a p% increase over 30. Dividing both sides by 30 gives us 7 = 1 + p/100. Subtract 1 from both sides to get 6 = p/100. Finally, multiplying both sides by 100 results in p = 600. Therefore, the value of p is 600. The other options, 650, 700, and 800, are incorrect due to potential calculation errors or misconceptions about percentage increases.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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