1. Finding M.P

2. Recap When S.P>C.P there is profit
Profit = Selling price – Cost price
Selling price = Cost price + Profit
Cost price = Selling price – Profit
When S.P<C.P there is Loss
Loss = Cost price – Selling price
Selling price = Cost price - Loss
Cost price = Selling price + Loss

3. 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)

4. Example1:- An almirah is sold at Rs 5,225 after allowing a
discount of 5%. Find its marked price.
Solution:- Given:- S.P = Rs , Discount%=5
To Find:- Marked Price
M.P Discount% Discount amount S.P 5 95
100 (assumed)
5% (given)
Let Assume Marked Price (M.P) = 100, then Discount(D) is
Then, Selling Price = Marked Price – Discount
= 100 – 5 = 95

5. M.P S.P
When ?
100 x 5225 = M.P x 95
Ans: M.P. of the almirah is Rs 5,500.

6. Solution:- Given:- C.P = Rs 450 , discount% =10, profit% =20
Example2:- A shopkeeper allows a discount of 10% to his customers and still
gains 20%.Find the marked price of an article which costs Rs 450 to the
shopkeeper.
Solution:- Given:- C.P = Rs 450 , discount% =10, profit% =20
To Find:- Marked price
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 – Discount
= 100 – 10 = 90

7. Selling Price(S.P). = Cost Price(C.P). + Profit(P)
= = Rs 540.
M.P S.P
When ?
100 x 540 = M.P x 90
Ans: Marked Price= Rs 600.

8. Try these
1. A shopkeeper allows a discount of 15% to his customers and
still gains 20%. Find the marked price of an article which
costs Rs. 170 to the shopkeeper.
2. A dealer allows a discount of 10% and still gains 26 %. What
is the cost price of the toy which is marked at Rs. 280?