correct answer is: b) Rs 1194.68

Explanation

Here,
Principal (p) = Rs 4600
Rate (r) = 8 % p.a.
Number of years (n) = 3
We know,
Amount = p\left[1+\left(\frac{r}{100}\right)\right]^n
So that,
4600\left[1+\left(\frac{8}{100}\right)\right]^3
\rightarrow\ 4600\left[\frac{100+8}{100}\right]^3
\rightarrow\ 4600{\times\left[\frac{108}{100}\right]}^3
\rightarrow\ 4600\times\frac{108}{100}\times\frac{108}{100}\times\frac{108}{100}
\rightarrow5794.68
\therefore Amount = Rs 5794.68
Now, Compound Interest (C.I.) = (A – P)
\therefore Compound Interest = Rs \left(5794.68-4600\right)
\rightarrow Rs 1194.68
Ans: Rs 1194.68 is the compound interest on Rs 4600 for 3rd year when the rate of interest is 8% p.a.

This precise question can also be expressed as:
1. Calculate the compound interest on Rs 4600 for the third year at an annual interest rate of 8%.
2. Find out the amount of compound interest accrued on Rs 4600 for the third year with an interest rate of 8% per annum.
3. Determine the compound interest earned on Rs 4600 during the third year at a rate of 8% per annum.
4. What is the compound interest for the third year when Rs 4600 is invested at an interest rate of 8% per annum?
5. Calculate the compound interest on Rs 4600 for the third year with an annual interest rate of 8%.