QuestionJuly 14, 2025

Answer the following questions. (a) What percent of 40.4 is 50.5 ? (b) What number is 24% of 38.5 ?

Answer the following questions. (a) What percent of 40.4 is 50.5 ? (b) What number is 24% of 38.5 ?
Answer the following questions.
(a) What percent of 40.4 is 50.5 ?
(b) What number is 24%  of 38.5 ?

Solution
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Answer

(a) 124.75% ### (b) 9.24 Explanation 1. Calculate percentage for part (a) Use the formula **percentage = \left(\frac{\text{part}}{\text{whole}}\right) \times 100**. Here, part is 50.5 and whole is 40.4. So, percentage = \left(\frac{50.5}{40.4}\right) \times 100. 2. Calculate result for part (a) Compute the value: \left(\frac{50.5}{40.4}\right) \times 100 = 124.75\%. 3. Calculate number for part (b) Use the formula **number = \left(\frac{\text{percentage}}{100}\right) \times \text{whole}**. Here, percentage is 24 and whole is 38.5. So, number = \left(\frac{24}{100}\right) \times 38.5. 4. Calculate result for part (b) Compute the value: \left(\frac{24}{100}\right) \times 38.5 = 9.24.

Explanation

1. Calculate percentage for part (a)<br /> Use the formula **percentage = \left(\frac{\text{part}}{\text{whole}}\right) \times 100**. Here, part is 50.5 and whole is 40.4. So, percentage = \left(\frac{50.5}{40.4}\right) \times 100.<br /><br />2. Calculate result for part (a)<br /> Compute the value: \left(\frac{50.5}{40.4}\right) \times 100 = 124.75\%.<br /><br />3. Calculate number for part (b)<br /> Use the formula **number = \left(\frac{\text{percentage}}{100}\right) \times \text{whole}**. Here, percentage is 24 and whole is 38.5. So, number = \left(\frac{24}{100}\right) \times 38.5.<br /><br />4. Calculate result for part (b)<br /> Compute the value: \left(\frac{24}{100}\right) \times 38.5 = 9.24.
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