A shoe manufacturing company offers 3 types of discount schemes to its customers:

(i) 20% and 12%

(ii) 25% and 5%

(iii) 30% and 3% at different stages of sales. Find the best scheme for the customer.

Only Scheme (iii)

Successive discount =  x + y - \(\frac{x × y}{100}\)

(i) 20% and 12% = 20 + 12 - \(\frac{20 × 12}{100}\) = 29.6%

(ii) 25% and 5% = 25 + 5 - \(\frac{25 × 5}{100}\) = 28.75%

(iii) 30% and 3% = 30 + 3 - \(\frac{30 × 3}{100}\) = 32.1%

Only Scheme (iii)