A shopkeeper offers the following 3 schemes. Which scheme has the maximum discount percentage?

I. Two successive discounts of 30% and 20%
II. Buy 4 get 7
III. Buy 4 get 3 free

Let marked price = Rs. 100

Scheme I : After 1st discount of 30%, effective price = $$100-(\frac{30}{100}\times100)=Rs.$$ $$70$$

Similarly, after 2nd discount of 20%, effective price = $$70-(\frac{20}{100}\times70)=Rs.$$ $$56$$

=> Discount offered = $$\frac{(100-56)}{100}\times100=44\%$$

Scheme II : Marked price of 7 = Rs. 700 and selling price of 4 = Rs. 400

=> Discount % = $$\frac{(700-400)}{700}\times100=42.85\%$$

Scheme III : Marked price of 7 = Rs. 700 and selling price of 4 = Rs. 400

=> Discount % = $$\frac{(700-400)}{700}\times100=42.85\%$$

$$\therefore$$ Scheme I has the highest discount percentage.

=> Ans - (A)