Simple Interest – Find the principal from two amounts: A sum amounts to Rs 2,240 in 2 years and Rs 2,600 in 5 years at simple interest. Find the principal (original sum).

Introduction / Context:Two amounts at different times let us compute the uniform annual SI and hence the principal in a linear SI model.

Given Data / Assumptions:

• A2 = Rs 2240
• A5 = Rs 2600

Concept / Approach:Annual SI = (A5 - A2) / (5 - 2). Then P = A2 - 2 * (annual SI).

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• Rs 1880 / 2120 / 1960: do not fit both given amounts.
• Data inadequate: sufficient for SI.

Common Pitfalls:

• Mistaking the time gap.

Final Answer:Rs 2000.