Class 7 Percentage Exercise 11.3

\begin{array}{l} \text {Q1. Express each of the following percents as decimals: } \\ \text {(i) } \quad 12.5 \% \quad \text {(ii) } \quad 75 \% \quad \text {(iii) } \quad 128.8 \% \quad \text {(iv) } \quad 0.05 \% \end{array}\begin{array}{l} \text {Sol. } \\ \text {(i) } \quad 12.5 \% = \frac{12.5}{100}=0.125 \\ \\\text {(ii) } \quad 75 \% = \frac{75}{100}=0.75 \\ \\ \text {(iii) } \quad 128.8 \% = \frac{128.8}{100}=1.288 \\ \\ \text {(iv) } \quad 0.05 \% = \frac{0.05}{100}=0.0005 \end{array}\begin{array}{l} \text {Q2. Express each of the following decimals as a percent: } \\ \text {(i) } \quad 0.004 \quad \text {(ii) } \quad 0.24 \quad \text {(iii) } \quad 0.02 \quad \text {(iv) } \quad 0.275 \end{array}\begin{array}{l} \text {Sol. } \\ \text {(i) } \quad 0.004= \frac{4}{1000} =(\frac{4}{1000} \times 100) \% =0.4 \% \\ \\\text {(ii) } \quad 0.24 = \frac{24}{100}=(\frac{24}{100} \times 100) \% =24 \% \\ \\\text {(iii) } \quad 0.02 = \frac{2}{100} = (\frac{2}{100} \times 100) \% =2 \% \\ \\\text {(iv) } \quad 0.275 =\frac{275}{1000}=(\frac{275}{1000} \times 100) \% =27.5 \%\end{array}\begin{array}{l} \text {Q3. Write each of the following as whole numbers or mixed numbers: } \\ \text {(i) } \quad 136 \% \quad \text {(ii) } \quad 250 \% \quad \text {(iii) } \quad 300 \%\end{array}\begin{array}{l} \text {Sol. } \\ \text {(i) } \quad 136 \% =\frac{136}{100} =\frac{34}{25} \\ \\\text {(ii) } \quad 250 \%=\frac{250}{100} =\frac{5}{2} \\ \\\text {(iii) } \quad 300 \% =\frac{300}{100} = 3 \end{array}