When a discount of 20% is given on a pizza, the profit is 32%. If the discount is 18%, then the profit is

Let Marked Price = $$Rs. 100x$$

When discount is 20%, Selling price = $$\frac{100-20}{100} \times 100x = Rs. 80x$$

Let Cost price = $$Rs. y$$

Profit % = $$\frac{80x - y}{y} \times 100 = 32$$

=> $$\frac{80x - y}{y} = \frac{32}{100} = \frac{8}{25}$$

=> $$2000x - 25y = 8y$$

=> $$25y + 8y = 2000x$$

=> $$y = \frac{2000 x}{33} = 60.6x$$

When discount is 18%, Selling price = $$\frac{100-18}{100} \times 100x = Rs. 82x$$

$$\therefore$$ Profit % = $$\frac{82x - 60.6x}{60.6x} \times 100$$

$$\approx 35.3\%$$

=> Ans - (C)

Shortcut:
Required profit = $$\dfrac{(100-18)\times(100+32)}{(100-20)} = \dfrac{82\times132}{80} = 135.3 = (100+35.3) --> 35.3$$%.