Question 102

When 75 is added to 75% of a number, the answer is the number. Find 40% of that number.

Solution

Let number be $$100x$$

=> 75% of the number = $$\frac{75}{100} * 100x = 75x$$

Now, 75 + $$75x = 100x$$

=> $$x = \frac{75}{25} = 3$$

Number = 3*100 = 300

40 % of 300 = $$\frac{40}{100}$$ * 300 = 120


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