Price of Scheme A after two price reductions:

a 1 = a( 1-m %)( 1-n %)= a( 1-m %-n %-m % n %)

Price of Scheme B after two price reductions:

a2 = a( 1-n %)( 1-m %)= a( 1-m %-n %-m % n %)

Price of Scheme C after two price reductions:

a3=a( 1-n/2%-m/2%)^2=a( 1+n%n%/4+m%m%/4-n%-m%+m%n%/2)

a3-a 1 = a(n % n %/4+m % m %/4+3m % n %/2)>0

Because the price of C is very high after two price reductions, the price reductions of both schemes are very large.