Question

profit is 5% of S.P. so what is the profit or loss percent.

Answer 1

Answer:

Given that

0.05 * sp = (sp-cp) /cp

sp/20 = sp/cp -1

1= sp/cp -sp/20

20 cp) = (20 sp - sp *cp)

21 cp = 20 sp

cp = 20/21 sp

since 20 /21 is less than 1 , hence it will be profit as cost price is 95.2% of selling price.

now profit % = [(sp-cp) /cp] * 100

given cp = 20/21 sp,

replacing cp with 20/21 sp

% = (sp -20/21 sp) 20 /21 sp

% = sp ((21–20)/21)/ (20/21) sp

% = (1/21)/ 20/ 21

% = 1/ 21 * 21 /20

% = 1/ 20

profit % = 0.05 * 100

proft % = 5