A sum of Rs. 5000 is divided into two parts such that the simple interest on the first part for 4 years at 6% p.a. is double the simple interest on the second part for 2 years at 4% p.a. The ratio of the second part to the first part is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 14 : 11
Let the two parts be 'x' and '5000 - x'.
(x × 21/5 × 20/3)/100 = (2 × (5000 - x) × 11/4 × 4)/100
On solving further we get,
x = 2200.
Second part = 5000 - 2200 = 2800
Required ratio = 2800 : 2200 = 14 : 11.