COMPARING QUANTITIES DISCOUNT

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.

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.

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.

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

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

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

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

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 960 - Rs 816 = Rs 144 Discount% = Discount x 100 M.P. Discount % = 144 x 100 = 12 x 10 = 15 % 960 8 Ans 15%.

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 100 . M.P. Discount = Discount % x M.P. 100 = 20 x 250 = Rs 50 S.P. = M.P. - Discount = Rs 250 – Rs 50 = Rs 200 Ans Rs 200

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 + 35/100 of Rs100 = Rs 100 + Rs 35 = Rs 135

Example: Solution Contd. Discount = (Discount % x M.P.) / 100 = (20 x 135 ) / 100 = Rs 27 S.P. = Rs 135 - Rs 27 = Rs 108 Gain = S.P. – C.P. = Rs 108 - Rs 100 = Rs 8 Gain% = Gain/C.P. x 100 = 8/100 x 100 = 8% Ans: gain 8%

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 540 and discount = 10%

Made by Moon Gupta The End