Maths olympiad Exam General Ability

A sum of Rs 20000 is to be divided
between two brother aged 15 years
and 13 years so that at the age of 18
they get equal amount while the
compound rate of interest is 5% per
annum. What is the amount received
by the younger brother.

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Maths olympiad Other Question
A man bought a certain number of chairs for Rs.10000. He kept one for his own use and sold the rest at the rate Rs.50 more than he gave for one chair. Besides getting his own chair for nothing, he made a profit of Rs.450. How many chairs did he buy? In driver's seat, 3 person can be seated.
3 people can be arranged in 3! ways.
Now, we have 4 seats left for 4 people.
4 people can be arranged in 4! ways.
Thus final answer = 3! × 4!