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what is the value of thirty percent of twenty five percent of 1320?

A

a.108

B

b.85

C

c.102

D

d.99

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "What is the value of thirty percent of twenty-five percent of 1320?", we can break it down into steps. ### Step-by-Step Solution: 1. **Convert percentages to fractions**: - Thirty percent (30%) can be written as \( \frac{30}{100} \). - Twenty-five percent (25%) can be written as \( \frac{25}{100} \). 2. **Calculate twenty-five percent of 1320**: - First, we find \( 25\% \) of \( 1320 \): \[ 25\% \text{ of } 1320 = \frac{25}{100} \times 1320 \] - Simplifying \( \frac{25}{100} \): \[ \frac{25}{100} = \frac{1}{4} \] - Now, calculate \( \frac{1}{4} \times 1320 \): \[ \frac{1320}{4} = 330 \] 3. **Calculate thirty percent of the result from step 2**: - Now, we need to find \( 30\% \) of \( 330 \): \[ 30\% \text{ of } 330 = \frac{30}{100} \times 330 \] - Simplifying \( \frac{30}{100} \): \[ \frac{30}{100} = \frac{3}{10} \] - Now, calculate \( \frac{3}{10} \times 330 \): \[ \frac{3 \times 330}{10} = \frac{990}{10} = 99 \] 4. **Final answer**: - Therefore, the value of thirty percent of twenty-five percent of 1320 is **99**.
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