A and B entered into a partnership investing Rs. 16, 000 and Rs. 12, 000 respectively. After 3 months, A withdraw Rs. 5000 while B invested Rs. 5000 more. After 3 more months, C joins the business with a capital of Rs. 21, 000. The share of B exceeds that of C, out of a total profit of Rs. 26, 400 after one year by:

A person bought a motorbike under the following scheme; Down payment of Rs. 15000 and the rest amount at 8% per annum for 2 years. In this way, he paid Rs. 28290 in total. Find the actual price of the motorbike.

A gentleman buys every year Bank's cash certificates of value exceeding the last year's purchase by Rs. 300. After 20 years, he finds that the total value of the certificates purchased by him is Rs. 83,000. Find the value of the certificates purchased by him in the 13^th year.