Question

Write 'T' for true and 'F' for false for each of the following:
(i) 6% of 8 is 48.
(ii) 6 : 5 = 30%.
(iii) $\frac{3}{5}=60\%.$
(iv) 6 hours = 25% of a day.

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)6\%\mathrm{of}8=\left(8\times \frac{6}{100}\right) \\ =0.48 \\ \mathrm{Hence},\mathrm{it}\mathrm{is}\mathrm{false}. \end{gathered}$$

$$\begin{gathered} \left(\mathrm{ii}\right)6:5=\frac{6}{5} \\ =\left(\frac{6}{5}\times 100\right)\% \\ =120\% \\ \mathrm{Hence},\mathrm{it}\mathrm{is}\mathrm{false}. \end{gathered}$$

$$\begin{gathered} \left(\mathrm{iii}\right)\frac{3}{5}=\left(\frac{3}{5}\times 100\right)\% \\ =60\% \\ \mathrm{Hence},\mathrm{it}\mathrm{is}\mathrm{true}. \end{gathered}$$

$\left(\mathrm{iv}\right)6hours=\left({\displaystyle \frac{6}{24}}\times 100\right)\%=25\%$
Hence, it is true.