Solution:

To find the interest Sunil will receive at the end of 9 months, we need to calculate the compound interest using the formula:

A = P(1 + r/n)^(nt)

Where:
A = the final amount including interest
P = the principal amount (the initial amount lent)
r = the annual interest rate (as a decimal)
n = the number of times that interest is compounded per year
t = the time in years

Let's calculate the interest step by step:

Step 1: Identify the given values
Principal amount (P) = ₹ 15,000
Annual interest rate (r) = 8% = 0.08 (as a decimal)
Time (t) = 9 months = 9/12 = 0.75 years
Interest compounded quarterly, so the number of times compounded per year (n) = 4

Step 2: Calculate the compound interest (A)
A = P(1 + r/n)^(nt)
A = ₹ 15,000(1 + 0.08/4)^(4 * 0.75)
A = ₹ 15,000(1 + 0.02)^3
A = ₹ 15,000(1.02)^3
A ≈ ₹ 15,000(1.061208)
A ≈ ₹ 15,918.12

Step 3: Calculate the interest received
Interest received = A - P
Interest received = ₹ 15,918.12 - ₹ 15,000
Interest received ≈ ₹ 918.12

So, Sunil will receive approximately ₹ 918.12 as interest at the end of 9 months.

Key Points:
- Principal amount (P) = ₹ 15,000
- Annual interest rate (r) = 8% = 0.08 (as a decimal)
- Time (t) = 9 months = 9/12 = 0.75 years
- Number of times compounded per year (n) = 4
- Compound interest formula: A = P(1 + r/n)^(nt)
- Compound interest received = A - P
- Sunil will receive approximately ₹ 918.12 as interest at the end of 9 months.