The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being ¹/₄%, is:

Explanation:-

$$\eqalign{ & {\text{For}}\,{\text{an}}\,{\text{income}}\,{\text{of}}\,Rs.\,756,\,{\text{investment}} \cr & = Rs.\,9000 \cr & {\text{For}}\,{\text{an}}\,{\text{income}}\,{\text{of}}\,Rs.\,\frac{{21}}{2},\,{\text{investment}} \cr & = Rs.\,\left( {\frac{{9000}}{{756}} \times \frac{{21}}{2}} \right) = Rs.\,125. \cr & \therefore {\text{For}}\,{\text{a}}\,Rs.\,100\,{\text{stock,}}\,{\text{investment}}\, = Rs.\,125 \cr & {\text{Market}}\,{\text{value}}\,{\text{of}}\,Rs.\,100\,{\text{stock}} \cr & = Rs.\,\left( {125 - \frac{1}{4}} \right) = Rs.\,124.75 \cr}$$