$($a$)$A company is planning to issue a commercial paper having a nominal value of Rs$.20,00,000$ which will be redeemable after completion of $90$ days. It is issued at a discount of $4\%$ p$.$a$.$ Find out the discount, issue price and money market yield on this commercial paper.

However, the

funds required only for $70$ days. The excess funds can be invested in securities earning $16\%.$ The brokerage fee associated with the transaction is $1\mathrm{.}5\%.$

Calculate the net cost to the company in issuing the commercial paper.b$)$A Business entity issues a commercial paper worth Rs$.10,00,000$ which will be redeemable after completion of $90$ days. If the discount is $2\%,$ Find out the rate of interest on this commercial paper. Also, determine the net cost incurred by the organization, if brokerage charged was $1\%.$ The company utilized the sum for $60$ days only, and the amount was invested in the share markets for $30$ days which yield returns @ $18\%$ p$.$a$.($assume no of days in a year $360).$