Kanchan bought a clock with 25% discount on marked price. She sold it with 75% gain on the price she bought. What was her profit percentage on the marked price?

Let Marked price of clock = Rs. $$100x$$

Discount % = 25%

=> Price at which Kanchan bought the clock = $$100x-(\frac{25}{100}\times100x)=Rs.$$ $$75x$$

Profit % = 75%

=> Price at which Kanchan sold the clock = $$75x+(\frac{75}{100}\times75x)$$

= $$\frac{7}{4}\times75x=Rs.$$ $$131.25x$$

$$\therefore$$ Profit percentage on the marked price = $$\frac{(131.25x-100x)}{100x}\times100$$

= $$31.25\%$$

=> Ans - (A)