Solution for 2nd puzzle : Help Darwin to settle his bills
How Darwin can settle his bills
Question: On a business trip, Darwin had to stay in a hotel in Pune. The hotel rent happened to be Rs. 5000 per day. As per the hotel`s rules, he is expected to pay up the rent every evening by cheque.
Also, the hotel management is not allowed to accept any advance payment and it does not allow default either. Hence, at the end of every day no guest pays anything in excess, nor does he/she pay any amount less than what he/she is supposed to. Also, as per protocol, they wait for 8 days before encashing any cheque that has been issued to them.
Within those 8 days, a guest is allowed to replace his previous cheque by a new one, if he deems it necessary.
Darwin checked into the hotel on 1st of March and is scheduled to stay in the hotel the entire month. Unfortunately, he has only five blank cheques remaining in his cheque book. (His bank is in another city and has no branches in Pune). As per rules, he cannot use any mode of payment other than cheque.
Using this data, you need to come up with a plan on how Darwin can settle his bills on a daily basis and stay there the entire month. Provide a detailed explanation along with your answer.
Solution:
Darwin, at the end of the 1st day, signed a cheque for Rs. 5000 and gave it to the hotel manager.
On the 2nd day, he gave a cheque for Rs 10000 and collected his cheque for Rs. 5000.
On the 3rd day, he gave a cheque for Rs. 5000 as he had to pay Rs. 15000 for 3 days.
On the 4th day, he made a cheque for Rs. 20000 and gave it to the hotel manager and collected his previous cheques of Rs. 5000 and Rs. 100000.
Using these 3 cheques, he can manage for 7 days, because 7 days stay amount = Rs. 35000 (7 * 5000).
The next cheque is released on the 8th day for Rs. 40000 and he now has only 1 cheque left.
on the 15th day, the final cheque was drafted for Rs. 80000.
Since July has 31 days, he paid all 5 cheques (Rs. 5000, 10000, 20000, 40000 & 80000 = Rs. 155000).