Question

the cost price of 6 balloons is same as the selling price if 5 balloons.find the profit or loss percent if a vendor sells 10 balloons​

Answer 1

AnswEr:-

Let Cost Price of 6 ballons be 2 x.

And, Selling Price of 5 balloons be x.

$:\implies\sf\; CP\; of\; 10\; balloons \; = \dfrac{x}{6} \times\; 10$

$:\implies\sf \dfrac{5x}{3}$

$:\implies\sf\; SP\; of\; 10\; balloons\; = \dfrac{x}{5}\times\; 10$

$:\implies\sf\; SP\; of \; 10\; balloons \; = 2x$

$:\implies\sf \; Total \; balloons = 10$

$\rule{150}2$

$:\implies\sf\; Profit \; Percentage = \dfrac{ SP - CP}{100\;\%}$

$:\implies\sf\; \dfrac{ 2\;x - \dfrac{5\;x}{3}}{\dfrac{5\;x}{3}}$

$:\implies\sf\; \dfrac{6\;x - 5\;x }{3}\times \dfrac{3}{5\;x} \times\; 100\;\%$

$:\implies\sf\; \dfrac{1}{3}\times{3}{5\;x}\times\; 100 \;\%$

$:\implies\large\boxed{\sf{\red{ 200 \;\%}}}$

$\rule{150}2$