Explanation:

To find the ratio of the money lent at 9% to the one at 12%, we need to set up equations using the given information:

- Total amount lent: Rs15,400

- Interest from first part at 9% for 3 years = Principal1 * 9 * 3 / 100

- Interest from second part at 12% for 3 years = Principal2 * 12 * 3 / 100

- Total interest = Rs4,914

Let the money lent at 9% be Rs x.

- Then, money lent at 12% = Rs (15,400 - x)

- Interest from 9% = $(x\ast 9\ast 3)/100$

Let money lent at 12% be Rs (15,400 - x).

- Interest from 12% = $(15,400-x)\ast 12\ast 3/100$

Total interest:

$$\frac{x\ast 9\ast 3}{100}+\frac{(15,400-x)\ast 12\ast 3}{100}=4,914$$

Solving the equation gives:

$$27x+554,400-36x=491,400$$

$$-9x=-63,000$$

$$x=7,000$$

Money at 9%: Rs 7,000, Money at 12%: Rs 8,400.

- Ratio of 9% to 12% = 7,000 : 8,400 = 5:6

Correct Answer: Option 1 - 5 : 6