Average for remaining days: A shopkeeper earns Rs 504 in 12 days. His average for the first 4 days is Rs 40/day. What is his average for the remaining days?
Aptitude
Average
Difficulty: Easy
Choose an option
Answer
Correct Answer: Rs 43
Explanation
Introduction / Context:Totals across time blocks with a known partial average let us isolate the remaining block’s total and compute its average.Given Data / Assumptions:
- Total for 12 days = Rs 504.
- First 4 days average = Rs 40 ⇒ total = Rs 160.
- Remaining days = 8 days.
Concept / Approach:Remaining total = grand total − first block total. Then divide by days remaining.Step-by-Step Solution:
Remaining total = 504 − 160 = 344Average for remaining 8 days = 344 / 8 = Rs 43Verification / Alternative check:Add back: 160 + 344 = 504; overall average = 504/12 = 42, consistent with a heavier latter block average of 43 balancing with 40 early on.Why Other Options Are Wrong:
- Rs 40 or Rs 42 or Rs 45: Do not equal the exact computed 344/8.
Common Pitfalls:Dividing by the full 12 instead of the remaining 8 or miscomputing the first block total.Final Answer:
Rs 43