A) 50%
B) 75%
C) 100%
D) 200%
Correct Answer: A
Solution :
| Sol. [a] |
| According to question, \[a\,\infty \,=\frac{1}{b}\] |
| \[\Rightarrow \,\,\,\,\,\,a=\frac{k}{b}\] |
| \[\Rightarrow \,\,\,\,\,\,b=\frac{k}{a}\] |
| when a is increased by 100% then it becomes 2a |
| \[\Rightarrow \,\,\,\,\,\,2a=\frac{k}{b}\] |
| \[\Rightarrow \,\,\,\,\,\,b=\frac{k}{2a}\] |
| \[\therefore \] b decreases by \[=\,\frac{a-2a}{\frac{k}{a}}\times 100\] |
| \[=\frac{\frac{k}{2a}}{\frac{k}{a}}\times 100=50%\] |
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