Find the present worth $(P.W.)$ and the true discount $(T.D.)$ reckoning $6 \%$ per annum simple interest of $Rs. 176$ due in $20 \text{ months}$ time. (in $Rs.$)

$A$ sells a car priced at $Rs. 36,000$. He gives a discount of $8\%$ on the first $Rs. 20,000$ and $5\%$ on the remaining $Rs. 16,000$. $B$ also sells a car of the same make,priced at $Rs. 36,000$. He gives a discount of $7\%$ on the total price. Calculate the actual prices charged by $A$ and $B$ for the cars (in $Rs.$).

$A$ man bought a watch for $10 \%$ discount. If he had bought it for $20 \%$ discount,he would have saved $Rs.\, 125$ more. The marked price of the watch is (in $Rs.$):

$A$ has to pay $Rs. 220$ to $B$ after $1$ year. $B$ asks $A$ to pay $Rs. 110$ in cash and defers the payment of the remaining $Rs. 110$ for $2$ years. $A$ agrees to it. Counting the rate of interest at $10\%$ per annum in this new mode of payment,which of the following is true?

Ramesh marks his article at $Rs. 6000$ and after allowing a discount of $20 \%$, he still earns $60 \%$ profit. What is the cost price (in $Rs.$) of the article?

After giving a discount of $20 \%$ on an article,a shopkeeper gains $20 \%$. What is the percentage mark-up?