Answer:
So percent decrement in price will be 20.17 %
Step-by-step explanation:
Let the price of item is x
It is given that price is decreases 5.2 % five times and increases 1.4 % three times
So price of item after detriment of 5.2 % five times and increment of of 1.4 % three times = [tex]x(1-5.2%)^{5}\times (1-1.4%)^3[/tex]
= [tex]x\times0.948^5\times 1.014^3[/tex]
Decrements in price = [tex]x-x\times0.948^5\times 1.014^3[/tex]
%v decrements = [tex]\frac{x-x\times0.948^5\times 1.014^3}{x}\times 100=20.17[/tex]
So percent decrement in price will be 20.17 %
