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The price of a chocolate is increased by x% and then reduced by x%. The new price is 96.76% of the original price. Then x is:
Correct Answer: 18
Let the price of the chocolate be P.
It is given that the price of a chocolate is increased by x% and then reduced by x%..
The new price is 96.76% of the original price.
So, the equation will be
$$P\left(1+\dfrac{x}{100}\right)\left(1-\dfrac{x}{100}\right)=\dfrac{96.76}{100}P$$
=> $$1-\dfrac{x^2}{10000}=\dfrac{9676}{10000}$$
=> $$10000-x^2=9676$$
=> $$x^2=324$$
=> $$x\ =18$$
The value of x is equal to 18.
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