Correct option is A. 91
Let the cost of $$7$$ registers be $$Rs.x$$
Register | $$12$$ | $$7$$ |
Cost ( in Rs. ) | $$156$$ | $$x$$ |
If he buys less number of registers, the cost will also be less. $$\therefore$$ It is a direct variation.
$$\Rightarrow$$ $$12:7=156:x$$
$$\Rightarrow$$ $$\dfrac{12}{7}=\dfrac{156}{x}$$
$$\Rightarrow$$ $$x=\dfrac{156\times 7}{12}$$
$$\Rightarrow$$ $$x=Rs.91$$
$$\therefore$$ The cost of $$7$$ such registers will be $$Rs.91.$$