The cost information supplied by the cost accountant is as follows:

$$

Sales $20,00$ units @ Rs$.10$ per unit Rs$.2,00,000$

$$

Variable cost Rs$.6$ per unit Rs$.1,20,000$

$$

Contribution Rs$.80,000$

$$

Fixed Cost Rs$.30,000$

$$

Profit Rs$.50,000$

Calculate the $($a$)$ new sales quantity and $($b$)$ new selling price to earn the same profit if

$(1)$

Variable cost increases by Rs$.2$ per unit

$(2)$

Fixed cost increase by Rs$.10,000$

$(3)$

Variable cost increase by Re$.1$ per unit and fixed cost reduces by Rs$.10,000$