Finding 20% of A’s share: A alone can finish a job in 2 days; B alone in 3 days. They work together on a job for a total wage of ₹ 6000. What is 20% of A’s fair share?

Introduction / Context: Shares for two workers with known individual completion times are proportional to their rates. After computing A’s correct share from the total, take 20% of that amount as requested by the problem statement.

Given Data / Assumptions:

• A alone: 2 days ⇒ rate_A = 1/2.
• B alone: 3 days ⇒ rate_B = 1/3.
• Total wage for the job = ₹ 6000.

Concept / Approach: Wage split ratio A : B = 1/2 : 1/3 = 3 : 2. Hence A’s share is 3/5 of the total. Then compute 20% of that amount to answer the question precisely.

Step-by-Step Solution:

Verification / Alternative check: B’s share would be ₹ 2400; the total still sums to ₹ 6000, consistent with the 3:2 ratio.

Why Other Options Are Wrong: ₹ 350, ₹ 420, and ₹ 600 do not equal 20% of ₹ 3600; ₹ 820 is arbitrary here.

Common Pitfalls: Taking 20% of the total instead of A’s share; or inverting the ratio from times rather than rates.

Final Answer: ₹ 720