Question

find profit or loss percent made: 1) by selling 20 identical articles , a shopkeeper gains equal to S.P of 5 articles 2) by selling 20 identical articles, a shopkeeper gains equal to C.P of 5 articles

Answer 1

Let CP of 1 article be x
CP of 20 article is 20x
Let SP of 1 article be y
SP of 20 article is 20y
so,SP of 5 article is 5y 
Given that , Gain = SP of 5 article
Gain = 5y  (Gain = SP-CP)
SP-CP = 5y
20y-20x = 5y
15y = 20x
y/x = 4/3
y = (4/3) x

Profit percent = (Profit/CP)100 percent = (5y/20x)100 percent
=25y/x percent
= 25/x * (4/3) x percent
= 100/3 percent.

Answer 2

Step-by-step explanation:

${\purple{\huge{Question-}}}$

find profit or loss percent made: 1) by selling 20 identical articles , a shopkeeper gains equal to S.P of 5 articles 2) by selling 20 identical articles, a shopkeeper gains equal to C.P of 5 articles

${\purple{\huge{Answer:}}}$

Let CP of 1 article be x

CP of 20 article is 20x

Let SP of 1 article be y

SP of 20 article is 20y

so,SP of 5 article is 5y 

Given that , Gain = SP of 5 article

Gain = 5y  (Gain = SP-CP)

SP-CP = 5y

20y-20x = 5y

15y = 20x

$\frac{y}{x}$ = $\frac{4}{3}$

y =$\frac{4}{3}$

Profit percent = ($\frac{profit}{cp}$)100%= ($\frac{5y}{20x}$)100%

=$\frac{25}{x}$%

= $\frac{25}{x}$ × ($\frac{4}{3}$) x %

= $\frac{100}{3}$%