Simple Interest Q30

30.Adam borrowed some money at the rate of 6% p.a. for the first two years, at the rate of 9% p.a. for the next three years , and at the rate of 14% p.a. for the period beyond five years.If he pays a total interest of Rs. 11, 400 at the end of nine years how much money did he borrow?

     A.   10000

     B.   15000

     C.   12000

     D.   20000

Answer:

Option : C 

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).

Then,		x x 14 x 2		+		(13900 - x) x 11 x 12		= 3508
		100				100

⇒ 28x - 22x = 350800 - (13900 x 22)⇒ 6x = 45000

⇒ x = 7500.

So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.