Percentage Calculations Fc2470
1. Problem: Find the following percentages of given quantities.
2. Formula: To find $x\%$ of a number $N$, use the formula:
$$\text{Percentage value} = \frac{x}{100} \times N$$
3. Important rule: Convert mixed fractions to improper fractions before calculating.
4. Calculations:
(i) 10% of 18000:
$$= \frac{10}{100} \times 18000 = 0.1 \times 18000 = 1800$$
(ii) 4% of 52:
$$= \frac{4}{100} \times 52 = 0.04 \times 52 = 2.08$$
(iii) 3 \frac{2}{5} \% = \frac{17}{5} \% = \frac{17}{5} \times \frac{1}{100} = \frac{17}{500}$$
So,
$$= \frac{17}{500} \times 60 = \frac{17 \times 60}{500} = \frac{1020}{500} = 2.04$$
(iv) 4 \frac{1}{5} \% = \frac{21}{5} \% = \frac{21}{500}$$
So,
$$= \frac{21}{500} \times 700 = \frac{21 \times 700}{500} = \frac{14700}{500} = 29.4$$
(v) 3% of 7000:
$$= \frac{3}{100} \times 7000 = 0.03 \times 7000 = 210$$
(vi) 20% of 15:
$$= \frac{20}{100} \times 15 = 0.2 \times 15 = 3$$
Final answers:
(i) 1800
(ii) 2.08
(iii) 2.04 km
(iv) 29.4 l
(v) 210 kg
(vi) 3 days