Question 14

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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