1. Successive discounts

2. 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)

3. 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

4. S.P Second Second After Second discount after the first discount Discount% Discount amount S.P18 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 x = M.P x 72
Ans: M.P. of the almirah is Rs 20,000

5. 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 = = 1800

6. 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

7. 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.