Question:
Find the number a, if
(i) 8.4% of a is 42
(ii) 0.5% of a is 3
(iii) $\frac{1}{2} \%$ of $a$ is 50
(iv) $100 \%$ of $a$ is 100
Solution:
(i) $8.4 \%$ of $a$ is 42 .
i. e., $\frac{8.4}{100} \times a=42$
$\Rightarrow a=\frac{42 \times 100}{8.4}$
$\therefore a=500$
(ii) $0.5 \%$ of $a$ is 3 .
i. e., $\frac{0.5}{100} \times a=3$
$\Rightarrow a=\frac{3 \times 100}{0.5}$
$\therefore a=600$
(iii) $\frac{1}{2} \%$ of $a$ is 50 .
i. e., $\frac{1}{2} \times \frac{1}{100} \times a=50$
$\Rightarrow a=50 \times 200$
$\therefore a=10000$
(iv) $100 \%$ of $a$ is 100 .
i. e., $\frac{100}{100} \times a=100$
$\Rightarrow 1 \times a=100$
$\therefore a=100$