Rahul's father wants to deposit some amount of money every year on the day of Rahul's birthday. On his `1^(st)` birthday Rs.100, on his birthday Rs.300, on his `3^(rd)` birthday Rs.600, on his birthday Rs.1000 and so on. What is the amount deposited by his father on Rahul's 15^(th)` birthday?

Ram gives his son Rs. 100 on one day, Rs. 50 on the second day, Rs. 25 on third day and so on. What will be total amount given by Ram to his son starting from the first day, if he lives forever?

The income of a person is Rs. 3,00,000, in the first year and he receives an increase of Rs.10,000 to his income per year for the next 19 years. Find the total amount, he received in 20 years.

An employee got Rs. 300 per month in his 11 year serivce and got Rs. 495 per month in his 24th year service. If his monthly salary is in A.P., then what is his initial salary ? What is his incriment ?

Mohan deposits Rs. 2000 in his bank account and withdraws Rs. 1642 from it , the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited ? Find the balance in Mohan 's account after the withdrawal.

Koushik got a playing top as his birthday present, which surprisingly had no colour on it. He wanted to colour it with his crayons. The top is shaped like a cone surmounted by a hemisphere. The entire top is 5 cm. in height and the diameter of the top is 3.5 cm. Find the area he has to colour. (Take pi=22/7 )

Yadaiah for his family needs borrowed Rs 5120 at 12(1)/(2)% per annum compounded annually. How much amount he has to pay to clear the debt at the end of two year nine months? Also find total how much interest he has paid?