Mixed Practice
This final practice module combines mixed problems to test your ability to identify and apply the correct percentage techniques under exam conditions.
Fundamental Principles
Comprehensive Synthesis
Integrating foundational conversions, successive changes, and real-world applications to efficiently solve multi-step problems.
Essential Formulation Tips
- Read carefully to identify whether a problem uses a fixed, static base or a changing, successive base before starting your calculations.
Shortcut Execution Techniques
- Try using 100 as a placeholder value for unknown starting values to make your calculations easier and more intuitive.
Contextual Inquiries (FAQs)
Q: What is the fastest way to improve speed on math tests?
A:
Example Breakdown: Multi-Step Challenge Problem
High-level review prompt that tests tracking discipline and accuracy.Assume total income is 100%. After rent, he has 80% left.
Food expenditure = 70% of 80% = 56% of total income.
Total spent so far = 20% + 56% = 76%.
Remaining savings percentage = 100% - 76% = 24%.
If 24% = $3,600, then Total Income = (3,600 / 24) × 100 = $15,000.
Comprehensive Challenge Mixed Set 1
Advanced problem set designed to build confidence for competitive aptitude exams.
Q1. Due to a 20% reduction in the price of sugar, a man can buy 5 kg more for $100. Find the original price per kg.