Mr$.$ Rajesh plans to buy a car and start ride sharing profession $($Uber$).$ Currently, he works in a company as a driver and earns $20,000$ per month. The price of the car is $12,00,000$ and he wants to take $50\%$ loan taking the car as mortgage in the bank. That bank agrees to issue the loan for $3$ years with an interest rate of $13\%$ p$.$a$.$ and the installments have to be paid quarterly. Calculate the installment amount and prepare and loan schedule. Should Mr$.$ Rajesh buy the car if he can earn $60,000$ per month? What would be the installment size$/$amount if the installments are due at the beginning of each quarter? Calculate as per Time value of money.