If x is less than y by 40%, then y exceeds x by:

Correct option is D

Given:

x is 40% less than yyy, x=y−0.40yx = y .

We need to find by what percentage yyy exceeds xxx.

Solution:

​Since x is 40% less than y, we can write: 

​$$x = y - 0.40y = 0.60y$$ 

​Now, we need to find how much y exceeds x. The difference between y and x is:

Difference = y − x = y − 0.60y = 0.40y 

The percentage by which y exceeds x is: 

​$$\text{Percentage} = \left( \frac{\text{Difference}}{x} \right) \times 100 = \left( \frac{0.40y}{0.60y} \right) \times 100$$ 

​$$\text{Percentage} = \left( \frac{0.40}{0.60} \right) \times 100 = \left( \frac{4}{6} \right) \times 100 = \frac{2}{3} \times 100$$

=  $$66 \frac{2}{3}$$%​

Thus y exceeds x by  $$66 \frac{2}{3}$$​%