Anirudh’s aggregate percentage from four tests: He scores 85%, 70%, 65%, and 60% in tests with maximum marks 100, 120, 140, and 160 respectively. What is his overall percentage?

Introduction / Context:
Weighted averages are vital when different tests have different maximum marks. You must convert each percentage to actual marks scored, sum them, and divide by the sum of maximum marks to get the true aggregate percentage.

Given Data / Assumptions:
Percentages and corresponding maxima: (85% of 100), (70% of 120), (65% of 140), (60% of 160).

Concept / Approach:
Aggregate % = (Total scored / Total maximum) * 100. Compute each score from its percentage and add. Then divide by the overall maximum (sum of all test maxima). Avoid averaging percentages directly, which would be incorrect here because weights differ.

Step-by-Step Solution:

Verification / Alternative check:
Quick decimal check: 356/520 = 0.684615..., and 6/13 ≈ 0.461538..., confirming the mixed fraction representation.

Why Other Options Are Wrong:
Other fractions correspond to different totals or unweighted averaging. The only exact value with the given data is 68 6/13%.

Common Pitfalls:
Averaging 85, 70, 65, and 60 to get a simple mean (70%), which ignores varying test weights.

Final Answer:
68 6/13%