Question

By selling an article for rs 4000, a shopkeeper earned profit equal to 1/5 of its CP. Find his gain%.
How?
Solve step by step.
Answer is 20%

Answer 1

Hi ,

It is given that ,

selling price ( s.p ) of an article = Rs 4000

Let cost price ( c .p ) = Rs x

profit ( g ) = ( 1/5 ) c.p

g = x/5

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Profit = S.P - c. p

*********************************
x/5 = 4000 - x

x + x/5 = 4000

( 5x + x )/5 = 4000

6x/5 = 4000

x = ( 4000 × 5 )/6

x = 10000/3

Therefore ,

c.p = x = Rs 10000/3

g = x/5 = 10000/15 = 2000/3

gain% = ( g × 100 )/c.p

= [ ( 2000/3 ) × 100 ]/( 10000/3 )

gain% = 20

I hope this helps you.

: )

Answer 2

Answer:

2000/3 *100 = 10000/3

2000/3 *100 * 3/10000

20