Let the 3 different principles be P1, P2 & P3. Then according to the question:

P1 + P1×R×T1 = P2 + P2×R×T2 = P3 + P3×R×T3

P1/P2 = 1.15/1.1 = 23/22

P2/P3 = 24/23

P1:P2:P3 = 276 : 264 : 253

P1 = 9516 / (276 + 264 + 253) = 9516/793 = 12

Now P1 = 276 × 12 = **3312**; P2 = 264 × 12 = **3168**

& P3 = 253 × 12 = **3036.**

**Verification:**

3312 + 3312×0.05×2 = 3643.2

3168 + 3168×0.05×3 = 3643.2

3036 + 3036×0.05×4 = 3643.2.

**Product of the 1st and the 3rd part:**

3312 × 3036 = 10,055,232