A shopkeeper offers the following discount schemes for buyers on an article:
i. Two successive discounts of 15% each
ii. A discount of 25% followed by a discount of 5%
iii. Two successive discounts of 20% and 10%
iv. A discount of 30%
Under which scheme will the selling price be maximum?

Correct option is D

M.P - face value

S.P – Selling Price

Plan I

Effective discount =15 + 15 - (152/100)

=> 30 – 2.25 = 27.75%

M.P : S.P = 100 : 72.25

Scheme II:

Effective discount = 25 + 5 – (25 × 5)/100

=> 30 – 1.25 = 28.75%

M.P : S.P = 100 : 71.25

Scheme III:

Effective discount = 20 + 10 – (20 × 10)/100

=> 30 – 2 = 28%

M.P : S.P = 100 : 72

Scheme IV:

discount 30%

M.P : S.P = 100 : 70

according to all option, the selling price is maximum in 15% two successive discount and minimum when discount at 30%.