Question

what single discount will be equivalent to two successive discounts of 8% and 5%​

Answer 1

Step-by-step explanation:

sp = mp(1-d)

sp= mp(1-d1)(1-d2)

d1,d2 are successive discounts

so

1-d = (1-d1)(1-d2)

1-d = (1-8%)(1-5%) =( 1-0.08)(1-0.05) = 0.92×0.95

= 0.874

d= 1-0.874 = 0.126

0.126 in percentage form = 0.126×100 = 12.6%