Work and Wages | Time & Work Aptitude Practice | Kuriloo

Fundamental Principles

The Direct Wage Proportion Rule

Wages allocated to a worker share a direct proportional relationship with their total contribution: Individual Wage = Total Budget × (Work Done by Individual / Total Work).

Efficiency-Based Wage Splits

When a group of workers collaborates for the exact same duration, their financial payouts split in direct proportion to their individual efficiency ratios.

Essential Formulation Tips

If team members work for different lengths of time, calculate the absolute volume of work completed by each person before attempting to divide the payout.
The total sum of all individual wages must always equal the total allocated project budget.

Shortcut Execution Techniques

When timelines match, skip the complex fractions and split the total budget directly using the whole-number efficiency ratios derived from your LCM approach.

Contextual Inquiries (FAQs)

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Example Breakdown: Proportional Wage Distribution Checklist

Standard financial allocation problem commonly used to test proportional division logic.

Problem QueryTwo contractors, X and Y, complete an infrastructure project for a total payout of $600. Contractor X can complete the work alone in 10 days, while Contractor Y requires 15 days alone. If they work together for the entire duration, calculate X's financial share.

Step-By-Step Solution Path

Step 1: Find the LCM of 10 and 15 to determine a baseline work pool: 30 units.

Step 2: Determine their individual efficiencies: X = 3 units/day; Y = 2 units/day.

Step 3: Because they work together for the same amount of time, split the budget using their efficiency ratio (3:2).

Step 4: Calculate X's share of the payout: 3 / (3 + 2) = 3/5.

Step 5: Apply the fraction to the budget: 3/5 × $600 = $360.

Analytical Hint: Divide the budget using the workers' individual efficiency ratios when their active days match perfectly.

Work and Wages Practice Set 1

10 challenges mapping out budget distributions, shifting timelines, and multi-tiered team payouts.

Q1. A, B, and C take on a contract for $1,100. A and B together complete 7/11 of the work, leaving the rest for C. Find C's share of the wages.

Q2. P can earn $120 per day working standalone. If his helper Q is only 60% as efficient, what is Q's equitable daily wage for the same hours?