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COMPARING QUANTITIES DISCOUNT
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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.
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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.
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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.
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DISCOUNT PERCENT Discount can be found when discount % is given.
Discount percent = Discount x Marked Price Discount % = Discount x 100 M.P.
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Relation between C.P. , S.P. , M.P.
M.P. │ ( discount) S.P. │ ( gain / loss ) C.P.
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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
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FORMULAE Gain % = Gain x 100 C.P. Loss % = Loss x 100
Discount % = Discount x 100 M.P.
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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%.
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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
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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
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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%
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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%
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Made by Moon Gupta The End
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