Question 3

Two numbers a and b are inversely proportional to each other. If a increases by 100%, then b decreases by:

Name: Two numbers a and b are inversely proportional to each other. If a increases by 100%, then b decreases by:
Uploaded: 2020-07-03T10:18:02.012465+05:30
Duration: 1 min 13 s
Description: 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%.

Get AI Help

Video Solution

View More Questions From Averages, Ratio and Proportion

XAT Quant Questions | XAT Quantitative Ability

XAT Progressions and Series Questions XAT Inequalities Questions XAT Venn Diagrams Questions XAT Quadratic Equations Questions XAT Functions, Graphs and Statistics Questions

XAT DILR Questions | LRDI Questions For XAT

XAT Data Interpretation Basics Questions XAT Truth Lie Concept Questions XAT DI with connected data sets Questions XAT Quant Based DI Questions XAT Special Charts Questions

XAT Verbal Ability Questions | VARC Questions For XAT

XAT Vocabulary Questions XAT Para Jumbles Questions XAT Grammar and Sentence Correction Questions XAT Miscellaneous Questions XAT Para Summary Questions