-  C : D = 85000 : 15000 = 85 : 15 = 17 : 3

Let's assume the total profit earned after 2 years is P.

According to the question, C invested Rs. 85,000 and D invested Rs. 15,000. Therefore, the ratio of their investments is 85,000:15,000, which simplifies to 17:3.

Now, let's calculate the share of each person in the profit.

C's share = (C's investment/Total investment) * Total Profit

D's share = (D's investment/Total investment) * Total Profit

Substituting the values, we get:

C's share = (85,000/100,000) * P = 0.85P

D's share = (15,000/100,000) * P = 0.15P

Now, we need to divide the profit between P and Q. Let's assume the ratio of profit between P and Q is a:b.

Therefore, we can write:

P's share = (a/(a+b)) * 0.85P

Q's share = (b/(a+b)) * 0.15P

We know that the ratio of profit earned by P and Q should be x:y, where x and y are whole numbers. Therefore, we can assume a and b to be in the ratio of x and y.

Now, we need to find the values of x and y.

Substituting the above values in the given options, we can see that the only option for which the ratio of profit earned by P and Q can be expressed as x:y, where x and y are whole numbers, is option C (17:3). Therefore, the correct answer is option C.

Hence, the profit earned after 2 years will be divided between P and Q in the ratio of 17:3.

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