Using Bionomial solve; Given that y = 3x and x increases at 2(1/2)%, find percentage increase in y.


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Question Number 40271 by Rio Mike last updated on 18/Jul/18

$U s i n g B i o n o m i a l s o l v e;$ $G i v e n t h a t y = 3 x a n d x i n c r e a s e s$ $a t 2 \frac{1}{2} %, f i n d p e r c e n t a g e i n c r e a s e$ $i n y .$
	Answered by tanmay.chaudhury50@gmail.com last updated on 19/Jul/18

	$y = 3 x d y = 3 d x$ $g i v e n \frac{d x}{x} \times 100 = \frac{5}{2}$ $\frac{d y}{y} \times 100$ $= \frac{3 d x}{3 x} \times 100$ $= \frac{5}{2}$ $o r . . .$ $l e t i n i t i a l v a l u e o f x = 100$ $i n i g i a l v a l u e o f y = 300$ $x + △ x = 100 + \frac{5}{2} = \frac{205}{2}$ $y + △ y = 3 \times \frac{205}{2} = \frac{615}{2}$ $△ y = \frac{615}{2} - 300 = \frac{15}{2}$ $p e r c e n t a g e y i n c r e a s e = \frac{15}{2 \times 300} \times 100 = \frac{5}{2}$ $p l s c h e c k . . .$
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