Sudha’s present salary — which statements suffice? I. The salary increases every year by 15%. II. Her starting salary (at joining) was $10,000. III. She joined exactly 5 years ago.

Introduction / Context:We need to determine which statements allow computation of Sudha’s current salary under compound annual raises.

Given Data / Assumptions:

• I: Annual raise rate r = 15% per year, compounded yearly.
• II: Initial salary S0 = $10,000 at joining.
• III: Time elapsed t = 5 years.

Concept / Approach:Present salary S = S0 * (1 + r)^t. Therefore, we require S0, r, and t — i.e., all three statements together.

Step-by-Step Solution:

Verification / Alternative check:Any missing element (rate, initial salary, or years) prevents a unique numeric answer.

Why Other Options Are Wrong:

• II and III only: Missing raise rate.
• I and II only: Missing time.
• I and III only: Missing base salary.

Common Pitfalls:Using simple interest instead of compounding for annual percentage raises; ignoring the exact number of years.

Final Answer:All I, II and III