If C = 1200 and D = 1500, then D is how many percent more than C?

Introduction / Context:
This short question tests the basic concept of percentage increase from one value to another. It is a direct application of the formula for percentage change.

Given Data / Assumptions:

• C = 1200.
• D = 1500.
• We need the percentage by which D is more than C.

Concept / Approach:
Percentage increase from C to D is calculated as (D - C) / C * 100. Here C is the base because the comparison is "more than C".

Step-by-Step Solution:
C = 1200, D = 1500.Increase = D - C = 1500 - 1200 = 300.Percentage increase = (300 / 1200) * 100.Compute 300 / 1200 = 0.25.Percentage increase = 0.25 * 100 = 25 percent.

Verification / Alternative check:
We can note that multiplying 1200 by 1.25 gives 1200 * 1.25 = 1500. The factor 1.25 corresponds to a 25 percent increase, confirming the result.

Why Other Options Are Wrong:
20 percent would give D = 1440, 33.33 percent would give D = 1600 and 125 percent is obviously far too large. None match the given value of 1500 when applied to 1200 as a base.

Common Pitfalls:
Sometimes students divide by D instead of C, which answers a different question: how much C is less than D as a percentage of D. Always ensure that the base in the denominator matches the phrase in the question.

Final Answer:
D is 25 percent more than C.