Question - Calculating Percentages and Finding the Percentage of a Quantity

Solution:

a. \[ \frac{2.5}{100} \times 300 = 7.5 \]b. \[ \frac{50}{100} \times 5 = 2.5 \]c. \[ \frac{2}{60} \times 100 = 3.\overline{3} \]d. \[ \frac{12.5}{100} \times 400 = 50 \]e. \[ \frac{250}{1000} \times 100 = 25 \]f. \[ \frac{11}{9} \times \frac{720}{100} = 88 \]g. \[ \frac{3 \frac{1}{3}}{x} \times 24 = 100 \rightarrow x = \frac{24 \times 3 \frac{1}{3}}{100} = 8 \]h. \[ \frac{60}{100} \times x = 45 \rightarrow x = \frac{45 \times 100}{60} = 75 \]i. \[ \frac{25}{100} \times x = 9 \rightarrow x = \frac{9 \times 100}{25} = 36 \]j. \[ \frac{75}{100} \times x = 18 \rightarrow x = \frac{18 \times 100}{75} = 24 \]k. \[ \frac{13}{100} \times x = 1170 \rightarrow x = \frac{1170 \times 100}{13} = 9000 \]l. \[ \frac{5}{100} \times x = 750 \rightarrow x = \frac{750 \times 100}{5} = 15000 \]

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