Question

Rajan purchased a purse at 25% discount on its marked price but sold it at the marked price. Find the gain per cent of Rajan on this transaction.


Fast please​

Answer 1

$Let\:marked\:price\:be\:₹x$

$so \: purchase \: price \: = \: \frac{75}{100} \times x$

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

$New\: selling\:price\:=\:x$

$x - \frac{3}{4} x = \frac{1}{4} x \: \: (gain)$

${ \frac{1}{4} x \div \frac{3}{4} x}$

$Gain \: \% \: = \: \frac{1}{3} \times 100$

$Gain \: \% \: = \: ₹33.333$