simple interest and compound interest

Question

A has lent some money to B at 6% p.a and C at 9% p.a ; at the end of the year he gained overall 7.6% p.a.

what is amount lent to B and C?

Answer 1

6% X x + 9% X (1-x) = 7.6 %. Then you will get x equal to 47%, which means that A lent B 47% and C 53% of the total money.