Q52. In an exam, Chloe got 25% more marks than Martha. By what percentage are the marks of Martha less than that of Chloe?

Ops: A 00.18

B. 00.25

C 00.15

0.002

To find by what percentage Martha's marks are less than Chloe's, let's approach the problem step by step:

1. **Assume Martha's marks** to be 100 (for simplicity).
2. Since Chloe got 25% more marks than Martha, Chloe's marks will be:
   \[
   100 + 0.25 \times 100 = 125
   \]

3. Now, we need to calculate by what percentage Martha's marks (100) are less than Chloe's marks (125).

The formula for percentage decrease is:

\[
\text{Percentage Decrease} = \frac{\text{Difference in Marks}}{\text{Chloe's Marks}} \times 100
\]

Here, the difference in marks between Chloe and Martha is \( 125 - 100 = 25 \).

So, the percentage decrease is:

\[
\text{Percentage Decrease} = \frac{25}{125} \times 100 = 20\%
\]

Thus, Martha's marks are 20% less than Chloe's marks.

The correct answer is **not listed among the options given**. If you'd like further clarification or have any questions, feel free to ask!

Here are five related questions:

1. If Chloe got 50% more marks than Martha, by what percentage would Martha's marks be less than Chloe's?
2. If Martha scored 80 marks, how many marks did Chloe score with a 25% increase?
3. How would the percentage difference change if Chloe scored 10% more than Martha instead of 25%?
4. If Chloe's marks were 150 and Martha's were 120, by what percentage are Martha's marks less than Chloe's?
5. What would be the percentage decrease if Chloe's marks were double Martha's marks?

**Tip:** When comparing two quantities, always be clear about whether you are calculating a percentage increase or decrease and relative to which quantity.

Learn how to calculate the percentage decrease in Martha's marks compared to Chloe's marks. This problem involves understanding percentage increase and decrease concepts in mathematics. Suitable for Grades 6-8.

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