Question

The cp of an article is 5/6th of the sp. What is the percentage profit or loss?

Answer 1

question:

The cp of an article is 5/6th of the sp. What is the percentage profit or loss?

answer:

let SP = x

$c.p = \frac{5}{6} \times s.p \\ \: \: \: \: \: \: \: = \frac{5x}{6}$

5x/6 means x multiplied by 5 then divided by 6

if we multiply a number by 5 then the number become greater and then we divide the product obtained by 6 then sir the number becomes smaller because 6 is greater than 5 then we know that CP is greater than the SP then there is loss .We know that loss =

CP-SP

Here loss =

$\frac{5x}{6} - x \\ = \frac{5x - 6x}{6} \\ = \frac{ - 1x}{6}$

then lass%=

$\frac{ - 1x}{6} \div \frac{5x}{6} \times 100 \\ = \frac{ - 1x}{6} \times \frac{6}{ 5x} \times 100 \\ = \frac{ - 1}{5} \times 100 \\ = - 20$