Data Sufficiency — Profit on a Watch What is the profit earned by selling each watch for ₹ 15,675? I. The total cost price of 5 such watches equals the selling price of 4 such watches (at ₹ 15,675 each). II. Each watch is sold at a profit of 25%.

Introduction / Context:We must judge sufficiency to compute the profit per watch given a selling price (SP) of ₹ 15,675. Each statement independently might let us compute cost price (CP), then profit = SP - CP.

Given Data / Assumptions:

• SP per watch = ₹ 15,675.
• Statement I: 5 * CP = 4 * SP (with SP known).
• Statement II: Profit percentage = 25% (on CP or equivalently SP = 1.25 * CP).

Concept / Approach:If CP can be derived, profit = SP - CP is uniquely determined. We check each statement independently.

Step-by-Step Solution:

Verification / Alternative check:Both independent routes yield the same CP and profit. No extra information is required beyond either statement.

Why Other Options Are Wrong:

• I alone sufficient or II alone sufficient — each is true, but since both are independently sufficient, the best choice is “Either alone is sufficient”.
• Both together needed: Not required.
• Even both not sufficient: Incorrect; each alone suffices.

Common Pitfalls:Mixing up 25% of SP vs of CP (profit% is on CP). Also, forgetting that 5 CP = 4 SP refers to SP per watch already given.

Final Answer:Either statement I alone or statement II alone is sufficient.