Successive discounts

Recap Selling Price(SP) = Marked Price (MP) – Discount(D) If Marked Price and Discount is given Selling Price can be calculated as follows Selling Price(SP) = Marked Price (MP) – Discount(D) If Selling Price and Discount is given Marked Price can be calculated as follows Marked Price (MP) = Selling Price(SP) + Discount(D) If Marked Price and Selling Price is given Discount can be calculated as follows Discount(D) = Marked Price (MP) – Selling Price(SP)

Let Assume Marked Price (M.P) = 100, then Discount(D) is Example1 :- A television set was sold for Rs 14,400 after giving successive discounts of 10% and 20% respectively. What was the marked price? Solution Given:- Selling Price = Rs 14,400 ; First Discount% = 10 ; Second discount% = 20 To Find : Marked price First First After First discount M.P Discount% Discount amount S.P 10 90 100 (assumed) 10% (given) Let Assume Marked Price (M.P) = 100, then Discount(D) is Then, Selling Price = Marked Price – First Discount amount = 100 – 10 = 90

S.P Second Second After Second discount after the first discount Discount% Discount amount S.P 18 72 100 (assumed) 20% (given) Then, Selling Price = S.P after First discount – Second Discount amount = 90 – 18 = 72 M.P S.P When 100 72 ? 14440 100 x 14440 = M.P x 72 Ans: M.P. of the almirah is Rs 20,000

Example2 :- A trader buys an article for Rs Example2 :- A trader buys an article for Rs.1,500 and marks it 20% above the C.P. He then sells it after allowing a discount of 10%. Find the profit percent. Solution Given:- Cost Price = Rs 1500 , discount% = 10 , MP = 20% above C.P To Find : Profit% M.P = C.P + 20% of CP 20% of CP ∴ M.P = 1500 + 300 = 1800

Selling price(S.P) = Marked Price(M.P) – Discount(D) = 1800 – 180 = 1620 Profit(P) = Selling price(S.P) – Cost Price(C.P) = 1620 – 1500 = 120

Try these 1. A television set was sold for Rs.10,440 after giving successive discounts of 20% and 10% respectively. What was the marked price? A trader buys an article for Rs.1,500 and marks it 20% above the C.P. He then sells it after allowing a discount of 10%. Find the profit percent.