A number is first doubled and then reduced to one-third of its new value. What is the overall percentage change in the value of the number?
Explanation:
Let the number initially be x.
First the number is doubled, hence it becomes 2x. Next, the number is reduced to 1/3rd of its new value, hence it becomes 2x/3.
So, the number changes from x to 2x/3, i.e., the multiplication factor is 2/3.
∴ Overall percentage change = (2/3 - 1) × 100% = - 33.33%
Hence, option (d).
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