Divide 3000 into two parts such that the simple interest on the first

1.	Divide 3000 into two parts such that the simple interest on the first part for 4 years at 8% per annum is equal to the simple interest on the second part for 2 years at 9% per annum.
Answer» Step-by-step explanation: Let the FIRST PART be Rs. x. SECOND part =(3000−x) ∴S.I. on x at 8% per annum for 4 years= x×8×421 1005025 = 8X 25 S.I. on (3000−x) at 9% per annum = (3000−x)×9×21 10050 = 27000−9x 50 ∴ 8x 25 = 27000−9x 50 =>8x= (27000−9x)×251 502 =>16x=27000−9x =>16x+9x=27000 =>x= 270001080 251 =1080 ∴First part = Rs.1080

Divide 3000 into two parts such that the simple interest on the first part for 4 years at 8% per annum is equal to the simple interest on the second part for 2 years at 9% per annum.

Answer»

Step-by-step explanation:

Let the FIRST PART be Rs. x. SECOND part =(3000−x) ∴S.I. on x at 8% per annum for 4 years=

x×8×421

1005025

S.I. on (3000−x) at 9% per annum =

(3000−x)×9×21

10050

27000−9x

∴

27000−9x

=>8x=

(27000−9x)×251

502

=>16x=27000−9x =>16x+9x=27000 =>x=

270001080

251

=1080 ∴First part = Rs.1080