Question

If x and y varies inversely. If x is increased by 10%, then find percentage change in Y

PLS ANSWER​

Answer 1

Answer:

As x and y are varies inversely .That's why x increase and y decreases.

So. y decreased by 10%

Answer 2

Step-by-step explanation:

Given,

y varies directly as the square root of x,

i.e. y ∝ √x

y = k√x

Where, k is the constant of proportionality,

If x increased by 21%,

Its new value = x + 21% of x = x + 0.21x = 1.21x,

So, new value of y = k√1.21x = 1.1k√x,

\because \frac{\text{New value of y-Original value of y}}{\text{Original value of y}}\times 100∵Original value of yNew value of y-Original value of y×100

=\frac{1.1k\sqrt{x}-k\sqrt{x}}{k\sqrt{x}}\times 100=kx1.1kx−kx×100

=\frac{(1.1-1)k\sqrt{x}}{k\sqrt{x}}\times 100=kx(1.1−1)kx×100

=\frac{0.1}{1}\times 100=10.1×100

= 10%

Hence, y is increased by 10%.