Simple Interest — A sum at 13.5% per annum amounts to ₹ 3080 in 4 years. Find the principal (original sum).

Introduction / Context:Given amount after a period under simple interest, find the original principal using A = P * (1 + r * t).

Given Data / Assumptions:

• A = ₹ 3080.
• r = 13.5% = 0.135 per annum.
• t = 4 years.

Concept / Approach:A = P * (1 + r * t) ⇒ P = A / (1 + r * t).

Step-by-Step Solution:1 + r * t = 1 + 0.135 * 4 = 1 + 0.54 = 1.54.P = 3080 / 1.54 = ₹ 2000.

Verification / Alternative check:Compute SI = P * r * t = 2000 * 0.135 * 4 = 1080. Amount = 2000 + 1080 = 3080.

Why Other Options Are Wrong:Other values do not reproduce amount 3080 when used in A = P * (1 + r * t).

Common Pitfalls:Using compound formula mistakenly; here interest is simple.

Final Answer:₹ 2000