Which scheme among the following is most beneficial to the customer?

i) Successive discounts of 25% and 25%

ii) Flat discount of 40%

iii) Buy one, get one free

iv) Successive discounts of 30% and 20%

iii

i)  Successive discounts of 25% and 25% = 

Successive discount =  25 +25 - \(\frac{25 × 25}{100}\) = 43.75%

ii) Flat discount of 40% = 40%

iii) Buy one, get one free = \(\frac{1}{1 + 1}\) × 100= 50%

iv) Successive discounts of 30% and 20% =

 Successive discount =  30 + 20- \(\frac{30 × 20}{100}\) = 44%

The most beneficial to the customer (iii) Buy one, get one free.