# A man bought 20 shares of Rs. 50 at 5 discount, the rate of dividend being 131/2. The rate of interest obtained is:

Option :

$\begin{array}{rl}& \text{Investment}\\ & =Rs.\phantom{\rule{thinmathspace}{0ex}}\left[20×\left(50-5\right)\right]\\ & =Rs.\phantom{\rule{thinmathspace}{0ex}}900.\\ & \text{FaceValue}\\ & =Rs.\phantom{\rule{thinmathspace}{0ex}}\left(50×20\right)\\ & =Rs.\phantom{\rule{thinmathspace}{0ex}}1000.\\ & \text{Dividend}\\ & =Rs.\phantom{\rule{thinmathspace}{0ex}}\left(\frac{27}{2}×\frac{1000}{100}\right)\\ & =Rs.\phantom{\rule{thinmathspace}{0ex}}135.\\ & \text{Interest}\phantom{\rule{thinmathspace}{0ex}}\text{Obtained}\\ & =\left(\frac{135}{900}×100\right)\mathrm{%}\\ & =15\mathrm{%}\end{array}$