Question

A number is decreased by 50%, and the resulting number is then increased by 300%. the original number is what percentage of the final number?

Answer 1

Answer:

$\huge \fbox{66.67 \%}$

Step-by-step explanation:

let the original number is X,

50% of X will be = X/2

300% of the resulting number X/2 will be,

$\frac{X}{2} \times \frac{300}{100} = 1.5X$

Let X is Y % of 1.5X,

$Y = \frac{ X }{1.5 \times X} \times 100 = \frac{100}{1.5 } = 66.67\%$

$Y= 66.67 \%$

Answer- original number is 66.67 percentage of the final number

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