Question

The difference between 72% and 54% of a number is 432. What is 55 % of that number?

• A. 1355
• B. 1445
• C. 1420
• D. 1320

Answer 1

Answer:

D. 1320

55% of that number is 1,320.

1. Find the percentage difference
   Subtract the smaller percentage from the larger percentage.
   $72\% - 54\% = 18\%$

2. Set up the relationship
   The problem states that this $18\%$ difference is equal to $432$.
   $18\% \text{ of the number} = 432$

3. Find 1% of the number
   Divide the value by the percentage.
   $1\% \text{ of the number} = \frac{432}{18} = 24$

4. Calculate 55% of the number
   Multiply the 1% value by 55.
   $55\% \text{ of the number} = 24 \times 55 = 1,320$