K-PSR — Khan's Percentage Symmetry Rule

This publication presents **K-PSR (Khan’s Percentage Symmetry Rule)**, a unified andsymmetric percentage transformation framework developed by Abrar Ahmed Khan. K-PSR formalizes the symmetric relationship between forward percentage transformationand its exact reversal using a single percentage parameter p. The framework defines: • Forward transformation: V_add = V × (100 + p) / 100 • Reverse transformation: V = V_add × 100 / (100 + p) Both transformations use the same percentage rate p, and their multiplicative factors arereciprocals, creating a symmetric identity:R(F(V, p), p) = V K-PSR provides a clear structure for reversible percentage changes and offers a unifiedexplanation applicable across mathematics, finance, price adjustments, inflation effects,profit-loss normalization, and general data transformation. This document expands upon the original conception record:DOI: 10.5281/zenodo.17617012 Author: Abrar Ahmed KhanIndependent Researcher, Karachi, PakistanDate of Conception: 13 June 2013

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-16
DOI
https://doi.org/10.5281/zenodo.17621108
Primary Topic
Data Analysis with R
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article
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K-PSR — Khan's Percentage Symmetry Rule

Zenodo (CERN European Organization for Nuclear Research)
Data Analysis with R
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K-PSR — Khan's Percentage Symmetry Rule

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Abstract

This publication presents **K-PSR (Khan’s Percentage Symmetry Rule)**, a unified andsymmetric percentage transformation framework developed by Abrar Ahmed Khan. K-PSR formalizes the symmetric relationship between forward percentage transformationand its exact reversal using a single percentage parameter p. The framework defines: • Forward transformation: V_add = V × (100 + p) / 100 • Reverse transformation: V = V_add × 100 / (100 + p) Both transformations use the same percentage rate p, and their multiplicative factors arereciprocals, creating a symmetric identity:R(F(V, p), p) = V K-PSR provides a clear structure for reversible percentage changes and offers a unifiedexplanation applicable across mathematics, finance, price adjustments, inflation effects,profit-loss normalization, and general data transformation. This document expands upon the original conception record:DOI: 10.5281/zenodo.17617012 Author: Abrar Ahmed KhanIndependent Researcher, Karachi, PakistanDate of Conception: 13 June 2013

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