Question

Suppose the price of a certain item decreases by 5.2% a total of 5 times, and then increases by 1.4% a total of 3 times. By what overall percent did the price decrease?
Round your answer to the nearest tenth of a percent.

Answer 1

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 = $x(1-5.2%)^{5}\times (1-1.4%)^3$

= $x\times0.948^5\times 1.014^3$

Decrements in price = $x-x\times0.948^5\times 1.014^3$

%v decrements = $\frac{x-x\times0.948^5\times 1.014^3}{x}\times 100=20.17$

So percent decrement in price will be 20.17 %