Successive evolutions, percentage calculations, multiplier coefficient, rate of change, total percentage of evolution
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This document provides a comprehensive guide to understanding successive evolutions and percentage calculations, including examples and formulas to determine the percentage of evolution from a multiplier coefficient and vice versa. It also covers the calculation of the rate of change and the total percentage of evolution in successive increases and decreases.
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[...] 2. A computer costs 980? and it undergoes a discount. What is the new price of this computer? : the price of the computer after the discount : the initial price of the computer - Reducing a quantity by is equivalent to multiplying it by 0.95. 3. We know the percentage of evolution and the final value. A computer costs 980? TTC and this article is subject to a 20% VAT. [...]
[...] When a value undergoes two successive evolutions, we can schematize the situation as follows: - Demonstration (and If one replaces in the 2 by relation On Example 1 : A price undergoes an increase of 10% followed by a reduction of 10% Schematizing the evolution : Initial Price : Price after a 10% increase : Final Price 10% We replace in We get The price drops by 1%. We notice that our first impression saying that the price remains unchanged is false. Exemple 2 : A price undergoes two successive increases of 10% and 15%. What is the total percentage of evolution? : Initial Price : Price after a 10% increase : Final Price + 10% + 15% So So we have a 26.5% increase. [...]
[...] Calculate the percentage of doctors. II- Multiplier coefficients and percentage evolution 2.1 Multiplier coefficients: - Increasing a quantity by t % is equivalent to multiplying its initial value by - Decrease a quantity by is equivalent to multiplying its initial value by are called multiplying coefficients - Demonstration Let the initial price and his price after a t % increase let us factorize by Let it be the initial price and his price after a drop let us factorize by Examples : 1. [...]
[...] multiply the two numbers of the equation by 100 Note : If t > 0 then we have an increase If t [...]
