Please enter the following details
Free Daily Targets & Mocks
Study Material & Formulas PDFs
1 on 1 Mentorship
Question 3
Two numbers a and b are inversely proportional to each other. If a increases by 100%, then b decreases by:
Solution
Inverse proportionality is expressed as follows :
$$a\propto \frac{1}{b}$$
$$\Rightarrow$$ a*b = constant
When value of a changes, the value of b changes accordingly such that their product remains same.
Thus, new value of a $$a^{'} = a + a = 2a $$
Thus, the new value of b $$b^{'}$$ can be solved by :
$$a^{'}*b^{'}=a*b$$
$$\Rightarrow 2a*b^{'}= a*b $$
$$\Rightarrow b^{'}= \frac{b}{2} $$
Thus b decreases by 50%.
Video Solution
XAT Quant Questions | XAT Quantitative Ability
XAT Venn Diagrams QuestionsXAT Functions, Graphs and Statistics QuestionsXAT Geometry QuestionsXAT Averages, Ratio and Proportion QuestionsXAT Profit, Loss and Interest Questions
XAT DILR Questions | LRDI Questions For XAT
XAT Scheduling QuestionsXAT Truth Lie Concept QuestionsXAT Charts QuestionsXAT Quant Based DI QuestionsXAT Arrangement Questions
