1. Face value of each share = rupee 10 2. Premium on issue = rupee 2 3. Total amount due per share (Face Value + Premium) \[ = rupee 10 + rupee 2 = rupee 12 \] 4. Total unpaid amount per share \[ = rupee 3 { (First Call)} + rupee 1 { (Final Call)} = rupee 4 \] 5. Forfeited amount per share \[ = {Total Due} - {Unpaid Amount} = rupee 12 - rupee 4 = rupee 8 \] 6. Minimum reissue price per share
- The minimum price at which forfeited shares can be reissued must be at least equal to the forfeited amount per share.
- The maximum discount allowed on reissue is the forfeited amount of rupee8.
- The minimum price per share: \[ = {Face Value} - {Maximum Discount} = rupee 10 - rupee 6 = rupee 4 \] Thus, the minimum price per share at which these shares can be reissued is rupee4 (Option A).
If vector \( \mathbf{a} = 3 \hat{i} + 2 \hat{j} - \hat{k} \) \text{ and } \( \mathbf{b} = \hat{i} - \hat{j} + \hat{k} \), then which of the following is correct?

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?