1. COMPARING QUANTITIES
DISCOUNT

2. Learning Objective
To find discount per cent offered in buying – selling situations.
To reinforce the concept of percentage and it’s application.
To find cost price ,selling price , given profit or loss percent.
To find selling price of an article when discount or rebate is offered.

3. INTRODUCTION
Discount is a reduction on the Marked Price (M.P.) of an article .
Discount is generally given to attract customers to buy goods or to promote sales of a good.
Marked Price is sometimes called List Price.

4. Since Discount is on Marked Price , therefore Marked Price is used as base.
M.P.= Marked
Price
S.P. = Selling
DISCOUNT = M.P S.P.

5. DISCOUNT PERCENT Discount can be found when discount % is given.
Discount percent = Discount x
Marked Price
Discount % = Discount x 100
M.P.

6. Relation between C.P. , S.P. , M.P.
M.P. │ ( discount) S.P. │ ( gain / loss ) C.P.

7. S.P. = M.P. - Discount S.P. = C.P. + Gain S.P. = C.P. - Loss FORMULAE
M.P. = S.P Discount
S.P. = M.P. - Discount
S.P. = C.P Gain
S.P. = C.P Loss

8. FORMULAE Gain % = Gain x 100 C.P. Loss % = Loss x 100
Discount % = Discount x 100
M.P.

9. Examples The price of a Tee Shirt was slashed from Rs 960
to Rs 816 in a shop. Find the rate of discount given.
Solution: M.P. = Rs 960 , S.P. = Rs 816 .
Discount = M.P. – S.P.
= Rs Rs 816 = Rs 144
Discount% = Discount x 100
M.P.
Discount % = x = 12 x 10 = 15 %
Ans 15%.

10. Example Rs 250. Find his sale price.
2. A dealer gives 20 % discount on a purse marked as
Rs 250. Find his sale price.
Solution : Discount% = Discount x
M.P.
Discount = Discount % x M.P.
100
= x = Rs 50
S.P. = M.P. - Discount
= Rs 250 – Rs 50 = Rs 200
Ans Rs 200

11. Example A dealer must mark his goods at 35 % above the
Cost Price and allows a discount of 20 % on the
Marked Price. Find his gain or loss % ?
Solution : Suppose C.P. = Rs 100
Then M.P. = C.P. + 35% of C.P.
= Rs /100 of Rs100
= Rs Rs 35 = Rs 135

12. Example: Solution Contd.
Discount = (Discount % x M.P.) / 100
= (20 x ) / 100
= Rs 27
S.P. = Rs Rs 27
= Rs 108
Gain = S.P. – C.P.
= Rs Rs 100 = Rs 8
Gain% = Gain/C.P. x 100
= 8/100 x = 8%
Ans: gain 8%

13. WORKSHEET Now solve the following Find the Selling Price when ,
M.P. = Rs 274 and Discount = 7½ %.
2. Find the Marked Price when,
S.P. = Rs and discount = 10%

14. Made by Moon Gupta
The End