Sum

A shop-keeper buys an article for Rs.450. He marks it at 20% above the cost price. Find :**(i) **the marked price of the article.**(ii)** the selling price, if he sells the articles at 10 percent discount.**(iii)** the percentage discount given by him, if he sells the article for Rs.496.80

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#### Solution

C.P. of the article = Rs.450

**(i) **The marked price of the article

`=(100+20)/100xx"Rs."450`

= Rs.`120/100xx450` = 12 × 45 = Rs.540

∴ Marked price of the article = Rs.540

**(ii) **Discount `=10/100xx"M.P."`

`=10/100xx"Rs."540`

= Rs.54

S.P. = M.P. − Discount

= Rs.540 − Rs.54

= Rs.486

**(iii) **S.P. = Rs.496.80

M.P. = Rs.540

Discount = M.P. − S.P.

= Rs.540 − Rs.496.80

= Rs.43.20

Discount% =`"Discount"/"M.P."xx100`

`=43.20/540xx100`

`=4320/540%`

= 8%

Concept: Concept of Discount

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