Question

A shopkeeper gives a discount of 5%. If he gives a
discount of 8%, then he earns Rs. 18 less. What is the
marked price of the article?​

Answer 1

Answer:

600

Step-by-step explanation:

let marked price =x

discount of 5%=x×5/100=5x/100=x/20

if discount of 8 % so x×8/100=8x/100=2x/25

if 8 %discount given he earns 18 less

so for 5% +18

2x/25=x/20+18

2x/25-x/20=18

8x-5x/100=18

3x=1800

x=600

Answer 2

Answer:

The marked price of the article is $Rs. 600$.

Step-by-step explanation:

Let the marked price be a constant $x$.

For a discount of $5$% , $x$ × $\frac{5}{100}$ $=\frac{5x}{100} =\frac{x}{20}$

If he gives a discount of $8$%,  $x$ × $\frac{8}{100} =\frac{8x}{100} =\frac{2x}{25}$

If $8$% discount is given he earns $Rs. 18$ less.

So, for $5$% $+18$ :

$\frac{2x}{25} =\frac{x}{20} +18$

$\frac{2x}{25} -\frac{x}{20} =18$

$\frac{8x-5x}{100} =18$

$3x=1800$

$x=600$

Hence, the marked price is $600$.