Question

if five books were bought one get free what is the discount percentage​ ( step by step)

Answer 1

Answer:

$24 \: percent$

Step-by-step explanation:

$let \: the \: price \: of \: one \: book \: = x \\ \\ price \: of \: 5 \: books \: = \: 5x \\ \\ \\ \\ but \: new \: discounted \: price \: of \: 6 \: books \: = \: 5x \\ \\ therefore \: \: \: new \: selling \: price \: of \: 6 \: books \: = \: 5x \\ \\ selling \: price \: of \: one \: book = \frac{5x}{6} \\ \\ cost \: price \: of \: one \: book \: = \: x \\ \\ discount \: = \: \frac{ \frac{5x}{6} - x }{ \frac{5x}{6} } \times 100 \\ = \frac{ - x}{5} \times \frac{6}{5x} \times 100 \\ \\ = - 6 \times 4 \\ \\ = - 24 \: percent \: (negative \: sign \: indicates \: discount \: ) \\ \\ \\ therefore \: \: \: discount \: given \: \: = \: \: 24 \: percent$