Profit growth

The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in the year 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods?

Correct result:

p =  11.399 %

Solution:

q=(1+25100) (1+40100) (120100) (1+10100)=7750=1.54  p1=100 (q1)=100 (1.541)=54 %  q2=q1/4=1.5441.114  p=100 (q21)=100 (1.1141)=11.399%q=(1+\dfrac{ 25 }{ 100 } ) \cdot \ (1+\dfrac{ 40 }{ 100 } ) \cdot \ (1-\dfrac{ 20 }{ 100 } ) \cdot \ (1+\dfrac{ 10 }{ 100 } )=\dfrac{ 77 }{ 50 }=1.54 \ \\ \ \\ p_{1}=100 \cdot \ (q-1)=100 \cdot \ (1.54-1)=54 \ \% \ \\ \ \\ q_{2}=q^{ 1/4 }=\sqrt[4]{ 1.54 } \doteq 1.114 \ \\ \ \\ p=100 \cdot \ (q_{2}-1)=100 \cdot \ (1.114-1)=11.399 \%



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