https://file.aiquickdraw.com/mathbot/file/17285182529974ge2q2es.jpg

The question in the image asks: 

**By what percentage should a quantity be multiplied in order to increase it by \(6 \frac{1}{4} \%\)?**

To solve this:

1. The percentage increase means adding that percentage to 100%.
2. If we increase a quantity by \(6 \frac{1}{4} \%\), the new quantity will be:
   \[
   100\% + 6 \frac{1}{4}\% = 106 \frac{1}{4} \%
   \]
   This implies multiplying the original quantity by \(1.0625\) (the decimal equivalent of \(106 \frac{1}{4}\%\)).

Thus, the correct answer is **\(106 \frac{1}{4}\%\)**, which matches option **C**.

Would you like further explanation on this or have any other questions? Here are 5 related questions:

1. How do you convert mixed percentages to decimal form?
2. What is the general formula to calculate a percentage increase?
3. How can you calculate the percentage decrease similarly?
4. What is the method to reverse the percentage increase?
5. How does the concept of percentage multipliers apply to compound interest?

**Tip:** Always convert mixed fractions or percentages into decimals for easier calculations!

By what percentage should a quantity be multiplied in order to increase it by 6 1/4%?

Learn how to calculate the percentage increase of a quantity by 6 1/4%. This problem includes adding percentages and converting percentages into multiplication factors. Suitable for Grades 7-9 students.

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