A company has drawn a contract for the purchase of paper at a price of $10$perkg

of paper containing $5\%$ moisture by weight and to adjust the price if the moisture

content varies, so that the price of bone dry paper is constant. Also if the moisture

content exceeds $5\%,$ the additional freight charge incurred due to the excess moisture

will be deducted from the total cost. The freight charge is $2$ per $kg$ of paper. Calculate

the following:

$($a$)$ The total amount to be paid for $10000kg$ of paper containing $3\%$ moisture

$($b$)$ The total amount to be paid for $8000kg$ of paper containing $9\%$ moisture.