Question

divide 3600 into two parts such that if one part be lent at 9% per annum and the other at 10% per annum the total annual income is rupees 333 rupees

Answer 1

Let the first part be x.
So the second part will be 3600-x.
First part at 9%= (x)*9/100 = 9x/100.
Second part at 10% = (3600-x)*10/100.
=(36000-10x)/100.

Total income from both part is = 333Rs.
(9x/100) + ( 36000-10x)/100 = 333Rs.
(9x+36000-10x)/100=333Rs.
36000-x= 33300Rs.
(First part) x= 36000-33300 Rs.
x= 2700Rs.
(Second part) 3600 - x= 3600 - 2700Rs.
= 900Rs.
Hope it helps.