Pay a worker by the hour, and the fast ones and the slow ones take home roughly the same money. Pay everyone the same flat rate per piece, and you reward output but do nothing to push a worker from “decent” to “exceptional.” The differential piece rate system was designed to fix exactly this problem: it changes the rate per unit depending on how efficient the worker is, so extra effort brings disproportionately extra reward. It sits at the heart of labour cost accounting in a Bachelor of Commerce syllabus, and three named variants – Taylor’s, Gantt’s, and Merrick’s – show three different ways of solving the same efficiency puzzle.

Table of Contents

What makes a piece rate “differential”

Under a straight piece rate system, every unit produced earns the same amount, no matter who makes it or how many they make. A differential piece rate system breaks that single rate into two or more tiers linked to a standard output. Workers who hit or beat the standard earn a higher rate per piece; those who fall short earn a lower rate. The same unit of work can be worth different amounts of money depending on the overall efficiency of the person who produced it.

This idea traces back to Frederick Winslow Taylor, widely regarded as the father of scientific management. Taylor believed that factory output could be studied scientifically – through time and motion analysis – to determine exactly how much a competent worker should produce in a given period, and that pay systems should be redesigned around that standard rather than around habit or guesswork, as Stevens Institute of Technology’s account of his work explains. Taylor’s original writings framed this as replacing “rule of thumb” methods with scientifically derived standards, a principle laid out in his own 1911 text on scientific management.

Taylor’s differential piece rate system

Taylor’s own version of the system is the strictest of the three. It sets just two piece rates around a single standard output, usually determined through time studies.

How the rates work

  • Low piece rate: Typically 80% of the normal piece rate, applied to the entire output of any worker who produces below the standard.
  • High piece rate: Typically 120% of the normal piece rate, applied to the entire output of any worker who meets or exceeds the standard.

Suppose the standard output is 200 units a day and the normal piece rate is ₹10 per unit. A worker who produces 220 units is paid at ₹12 per unit (120% of ₹10), earning ₹2,640 for the day. A worker who produces only 180 units is paid at ₹8 per unit (80% of ₹10), earning just ₹1,440. Notice the gap: a 22% shortfall in output produces a much larger shortfall in pay, because the lower rate applies retroactively to every unit, not just the units below standard. This structure and its underlying percentages are consistent with how the Institute of Cost Accountants of India presents the method in its study material.

Why it is controversial

Taylor designed this harshness deliberately. He wanted inefficient workers to either improve or leave the organisation, treating the sharp pay cut as a filter. The drawback is that the system offers no minimum wage guarantee, and a worker who just barely misses the standard earns far less than one who just barely meets it, even though the actual difference in effort is tiny. Because of this “cliff-edge” effect and its lack of a safety net, the pure Taylor model is rarely used in its original form today, though it remains a foundational case study for understanding incentive design.

Gantt’s task and bonus system

Henry Gantt, a colleague of Taylor’s, tried to soften this harshness while keeping the incentive to exceed standard. His system blends time wages with piece-rate bonuses.

The three tiers

  • Below standard: The worker still receives the guaranteed time rate – no penalty, no cliff-edge.
  • At standard: The worker receives the time rate plus a bonus, commonly around 20% of that rate.
  • Above standard: The worker is paid at a high piece rate applied to the entire output, which usually works out higher than the time-rate-plus-bonus figure.

This structure is documented in IGNOU’s course material on accounting for labour, which walks through worked examples of exactly this bonus calculation. The key difference from Taylor’s approach is the guaranteed minimum: a slower worker is never penalised below the basic time wage, which removes the demoralising effect of the Taylor cliff-edge while still rewarding those who clear the task. Gantt’s plan is often described as a genuine hybrid – closer to a time-rate system for average performers, but functionally a piece-rate system for high performers.

Merrick’s multiple piece rate system

Merrick’s approach, sometimes called the multiple piece rate plan, takes a different route: instead of two rates, it uses three, spreading out the transition between “below standard” and “above standard” so there’s no single sharp jump.

The three efficiency bands

Efficiency level (output as % of standard) Rate paid
Up to 83% Ordinary piece rate (100%)
83% to 100% 110% of ordinary piece rate
Above 100% 120% (sometimes up to 130%) of ordinary piece rate

These bands are consistently reported across academic sources, including the IGNOU labour accounting unit and the professional study material published by the Institute of Cost Accountants of India. Take a standard output of 120 units and an ordinary piece rate of 10 paise per unit. A worker producing 90 units is at 75% efficiency (below 83%), so is paid the ordinary rate: 90 × ₹0.10 = ₹9. A worker producing 100 units is at 83.3% efficiency, qualifying for the 110% rate: 100 × ₹0.11 = ₹11. A worker producing 130 units is at 108.3% efficiency, earning the 120% rate on the entire output: 130 × ₹0.12 = ₹15.60.

Why the extra tier matters

The middle band is Merrick’s real contribution. It acknowledges that a worker performing reasonably well – say, at 90% efficiency – is not the same as a worker performing badly, and shouldn’t be paid as if they were. This graduated structure removes much of the sting from Taylor’s original two-tier cliff, making Merrick’s plan more acceptable to workers while still preserving a strong incentive to cross the 100% line.

Comparing the three systems side by side

Feature Taylor’s system Gantt’s system Merrick’s system
Number of rate tiers Two Three (time, bonus, piece) Three piece-rate bands
Minimum wage guarantee None Yes, at time rate Yes, at ordinary piece rate
Harshness to below-standard workers High Low Moderate
Best suited for Highly repetitive, easily measured tasks Operations wanting a wage floor with upside Workforces with a wide efficiency spread

Why the standard still matters in India

Whichever variant a firm chooses, one legal constraint applies across the board: minimum wage law. Under the Code on Wages, 2019, the appropriate government fixes minimum rates of wages for both time work and piece work, and where only a minimum time rate has been fixed for a job paid on a piece basis, the employer must still ensure the worker’s earnings do not fall below that floor. This matters directly for Taylor’s low piece rate, which, taken to an extreme, could otherwise push earnings for a slow but genuinely trying worker below a livable wage. As PRS India’s summary of the legislation notes, the Code consolidated four earlier labour laws, including the Minimum Wages Act, 1948, into a single framework that applies this floor uniformly. In other words, even the sharpest differential piece rate scheme in a modern Indian factory has to operate within a wage safety net that Taylor’s original 1911 design never anticipated.

Choosing between the three in practice

Cost accountants rarely pick a system purely on theoretical elegance. Taylor’s plan suits highly standardised, easily measurable work where management is confident about the fairness of the standard and wants maximum pressure toward it. Gantt’s plan works well where retaining a stable, less-skilled workforce matters, since the guaranteed time rate protects morale. Merrick’s plan is often the middle ground favoured in mixed-skill teams, because the graduated bands avoid punishing workers who are close to standard but not quite there. In each case, the underlying cost accounting question is the same: how do you convert a productivity target into a wage structure that motivates without demoralising, and stays financially sustainable for the firm?

What do you think? If you were designing a wage scheme for a factory with a wide range of worker skill levels, would you lean toward Gantt’s guaranteed floor or Merrick’s graduated bands – and why might one create better long-term morale than the other?

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References
  1. https://www.stevens.edu/news/frederick-winslow-taylor-scientific-management
  2. https://nationalhumanitiescenter.org/pds/gilded/progress/text3/taylor.pdf
  3. https://icmai.in/upload/Students/Syllabus2016/RTP/Dec18/Paper8.pdf
  4. https://egyankosh.ac.in/bitstream/123456789/71361/1/Unit-7.pdf
  5. https://icmai.in/upload/Students/MQP_2022/Inter/Paper8_Syl22_Dec23_Set1_Sol.pdf
  6. https://www.labour.gov.in/static/uploads/2025/06/c328da14bbb15fc4ad571dc33e7a4ab3.pdf
  7. https://prsindia.org/billtrack/the-code-on-wages-2019

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Cost Accounting

1 Nature and Scope of Cost Accounting

  1. Need for Costing
  2. Limitations of Financial Accounting
  3. Costing and the Economy
  4. Definitions of Costing and Cost Accounting
  5. Objects of Cost Accounting
  6. Difference between Cost Accounting and Financial Accounting
  7. Advantages of Cost Accounting
  8. Installation of a Costing System
  9. Possible Difficulties
  10. Factors to be Considered
  11. Success of the Costing System

2 Cost Concepts and its Ascertainment

  1. Meaning of Cost
  2. Classification of Costs
  3. Cost Unit
  4. Cost Centre
  5. Elements of Cost
  6. Components of Total Cost
  7. Cost Sheet
  8. Methods of Costing
  9. Types of Costing
  10. Role of Cost Accountant

3 Procurement, Storage and Issue

  1. Direct and Indirect Materials
  2. Material Control
  3. Purchase Procedure
  4. Storage of Materials
  5. Issue of Materials
  6. Treatment of Surplus Materials

4 Inventory Control

  1. Meaning and Objectives of Inventory Control
  2. Techniques of Inventory Control
  3. ABC Analysis
  4. Stock Levels
  5. Re-Order Quantity
  6. Stores Records
  7. Perpetual Inventory System
  8. Inventory Turnover Ratio

5 Pricing the Issue of Materials

  1. Ascertaining the Cost of Materials
  2. Problem in Pricing the Issue of Materials
  3. Methods of Pricing
  4. First in First Out Method
  5. Last in First Out Method
  6. Weighted Average Price Method
  7. Replacement Price Method
  8. Standard Price Method
  9. Pricing of Materials Returned to Vendors
  10. Pricing of Materials Returned to Stores
  11. Treatment of Shortage of Materials
  12. Treatment of Material Losses

6 Labour – Basic Concepts

  1. Direct and Indirect Labour
  2. Time Keeping
  3. Time Booking
  4. Payroll Accounting
  5. Idle Time
  6. Overtime
  7. Labour Turnover

7 Accounting for Labour

  1. Methods of Wage Payment
  2. Time Wage System
  3. Piece Wage System
  4. Balance of Debt System
  5. Incentive Plans
  6. Halsey Premium Plan
  7. Rowan Premium Plan
  8. Differential Piece Rate System
  9. Group Bonus Scheme

8 Classification and Distribution of Overheads

  1. Concept of Overheads
  2. Classification of Overheads
  3. Element-wise Classification
  4. Function-wise Classification
  5. Behaviour-wise Classification
  6. Collection of Factory Overheads
  7. Allocation and Apportionment of Factory Overheads
  8. Preparation of Overheads Distribution Summary

9 Absorption of Factory Overheads

  1. Meaning of Absorption
  2. Methods of Absorption
  3. Production Units Method
  4. Direct Material Cost Method
  5. Direct Wages Method
  6. Prime Cost Method
  7. Direct Labour Hour Method
  8. Machine Hour Method
  9. Over-Absorption and Under-Absorption of Factory Overheads

10 Machine Hour Rate

  1. Introduction
  2. Advantages and Limitations
  3. Basis of Apportionment of Overheads
  4. Computation of Machine Hour Rate

11 Treatment of Other Overheads and Activity Based Cost Allocation

  1. Office and Administration Overheads
  2. Selling and Distribution Overheads
  3. Treatment of Certain Items in Cost Accounts
  4. Activity Based Cost Allocation

12 Unit Costing

  1. Meaning and Applicability
  2. Preparation of Statement of Cost/Cost Sheet
  3. Ascertainment of Cost of Direct Materials
  4. Ascertainment of Cost of Direct Labour
  5. Ascertainment of Cost of Other Direct Expenses/Chargeable Expenses
  6. Ascertainment of Prime Cost
  7. Ascertainment of Factory/Works Cost
  8. Ascertainment of Cost of Production
  9. Ascertainment of Total Cost/Cost of Sales
  10. Treatment of Items of Expenses and Losses of Purely Financial Nature
  11. Preparation of Production Account
  12. Special Points to be Noted
  13. Preparation of Statement of Quotation/Tendering Price

13 Job Costing

  1. Job Costing
  2. Applicability
  3. Procedure
  4. Evaluation
  5. Practical Problems

14 Contract Costing

  1. Contract Costing
  2. Difference between Job and Contract Costing
  3. The Procedure
  4. Treatment of Important Items
  5. Profit on Uncompleted Contracts
  6. Contractee’s Account
  7. Work-in-Progress

15 Process Costing

  1. Meaning and Application
  2. Difference between Job Costing and Process Costing
  3. Main Characteristics
  4. Costing Procedure
  5. Process Losses
  6. Abnormal Effectiveness
  7. Comprehensive Illustrations

16 Joint Products and By-Products

  1. Meaning of Joint Products and By-Products
  2. Difference between Joint Products and By-Products
  3. Difficulties in Costing of Joint Products and By-Products
  4. Methods of Apportionment of the Joint Production Costs
  5. Methods of Costing By-Products
  6. Comprehensive Illustrations

17 Valuation of Work-in-Progress

  1. Computation of Equivalent Production
  2. Calculation of Equivalent Production of Work-in-Progress
  3. Procedure for Valuation of Equivalent Production
  4. Comprehensive Illustrations

18 Service Costing

  1. Meaning and Cost Classification of Service Costing
  2. Characteristics of Service Costing
  3. Scope of Service Costing
  4. Computation of Transport Service Costing
  5. Comprehensive Illustrations

19 Reconciliation of Cost and Financial Accounts

  1. Methods of Cost Accounting
  2. Need for Reconciliation of Cost and Financial Accounts
  3. Causes of Difference
  4. Preparation of Reconciliation Statement
  5. Memorandum Reconciliation Account
  6. Comprehensive Illustrations