By selling an article at 20% discount, a
shopkeeper gains 25%. If the selling price of
the article is 1,440; find :

By selling an article at 20% discount, a
shopkeeper gains 25%. If the selling price of
the article is 1,440; find :
(i) the marked price of the article.
(ii) the cost price of the article.​

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  1. Answer:

    Let M.P be x

    then discount=20%ofx

    100

    20

    ×x=

    5

    x

    S.P=M.P-discount

    x−

    5

    x

    =

    5

    4x

    But given S.P=1440

    5

    4

    x=1440

    x=

    4

    1140×5

    x=1800

    Profit=S.P-C.P

    25%ofC.P=1440−C.P

    4

    1

    C.P=1440−C.P

    4

    1

    C.P+C.P=1440

    4

    5

    C.P=1440

    C.P=1140×

    5

    4

    C.P=1152

    So,M.P=1800andC.P=1152

    Reply

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