Class 7 Percentage Exercise 11.1

\begin{array}{l} \text {Q1. Express each of the following per cents as fractions in the simplest forms: } \\ \text {(i) } \quad 45 \% \quad \text {(ii) } \quad 0.25 \% \quad \text {(iii) } \quad 150 \% \quad \text {(iv) } \quad 6 \frac{1}{4} \% \end{array}\begin{array}{l} \text {Sol. } \\ \text {(i) } \quad 45 \% = \frac {45}{100} =\frac {9}{20} \\ \text {(ii) } \quad 0.25 \% = \frac {0.25}{100} =\frac {25}{10000} =\frac {1}{400} \\ \\\text {(iii) } \quad 150 \% = \frac {150}{100} = \frac {3}{2} \text {(iv) } \quad 6 \frac{1}{4} \% = \frac{25}{4} \% \\ = \frac {\frac {25}{4}}{100} \\ = \frac {25}{100 \times 4} \\ = \frac {1}{16} \end{array}\begin{array}{l} \text {Q 2. Express each of the following fractions as a percent: } \\ \text {(i) } \quad \frac{3}{4} \quad \text {(ii) } \quad \frac{53}{100} \quad \text {(iii) } \quad 1 \frac{3}{5} \quad \text {(iv) } \frac{7}{20}\end{array}\begin{array}{l} \text {Sol. } \\ \text {(i) } \quad \frac{3}{4} =(\frac{3}{4} \times 100) \%=75 \% \\ \\\text {(ii) } \quad \frac{53}{100} =(\frac{53}{100} \times 100) \%=53 \% \\ \\\text {(iii) } \quad 1 \frac{3}{5} = \frac{8}{5} =(\frac{8}{5} \times 100) \%=160 \% \\ \\\text {(iv) } \frac{7}{20} =(\frac{7}{20} \times 100) \%=35 \%\end{array}