Difficulty: Easy
Correct Answer: Both I and II are sufficient
Explanation:
Introduction / Context:
This Data Sufficiency item checks whether the given percentage relationships provide enough information to compute an absolute monthly salary for Prashant. Data Sufficiency requires deciding sufficiency, not necessarily reporting the numeric answer (though we can compute it to verify).
Given Data / Assumptions:
Concept / Approach:
A percentage chain needs a base (an absolute figure) to produce an absolute result. Statement I provides relationships only; Statement II provides the base value needed. Together, they are sufficient to obtain an exact value.
Step-by-Step Solution:
From II: Lokesh = 2,500. From I: Sumit = Lokesh * 0.9 = 2,500 * 0.9 = 2,250. Prashant = Sumit * 1.15 = 2,250 * 1.15 = 2,587.50. Thus an exact figure is computable when I and II are used together.
Verification / Alternative check:
I alone: Only relative percentages, no absolute base → cannot yield a unique rupee value. II alone: Knowing Lokesh alone doesn’t specify Prashant's percentage relation without Statement I.
Why Other Options Are Wrong:
'I alone sufficient' or 'II alone sufficient': Each is inadequate by itself. 'Either I or II': Not true, because neither alone yields Prashant’s exact salary. 'Neither': False; together they clearly suffice.
Common Pitfalls:
Stopping at relative values and forgetting an absolute anchor is necessary for a numeric result. Arithmetic slip-ups with percentage increase vs. decrease.
Final Answer:
Both I and II are sufficient
Discussion & Comments