Question

If 5% more is gained by selling an article for 350 than by selling it for 340, then the cost of the article is

Answer 1

Rs 200

Let the cost of article be x

when SP = 350
P% = (350-x)/x*100

when SP = 340
P% = (340-x)/x*100

5% more is gained by selling article for rs. 350 than for 340

(350-x)/x - (340-x)/x = 5/100
10/x = 5/100
x = 200

Answer 2

Answer:

₹200

Step-by-step explanation:

Let CP of the article be 'x'

SP1= ₹340

SP2= ₹350

profit 1= ₹(340-x)

profit 2=₹(350-x)

p%1= $\frac{340-x}{x} 100$

p%2= $\frac{350-x}{x}*100$

$\frac{340-x}{x} = \frac{350-x}{x}+\frac{5x}{100}$

$\frac{(350-x)-(340-x)}{x} = \frac{5x}{100}$

$\frac{350-340-x+x}{x}$ $= \frac{5x}{100}$

$\frac{10}{x}$$= \frac{5x}{100}$

10×100=5x

1000=5x

$\frac{1000}{5}$=x

200=x