maths -profit and loss

The profit on a certain item is 20%. If the CP is increased by Rs 50 and SP is increased by Rs 30 then the profit 5 reduces by 3 1/3%. Find the original CP and SP.

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  1. original case:
    let CP = x

    SP = 1.2x
    profit = .2x

    new SP = 1.2x + 30
    new CP = x+50
    new profit = 1.2x + 30 - (x+50)
    = .2x - 20

    but this new profit is 3 1/3% less than the old one
    or it is 29/30 of the old one

    .2x-20 = (29/30)(.2x)
    6x - 600 = 5.8x
    .2x = 600
    x = 3000

    original CP = 3000
    original SP = 3600

    check:
    old CP = 3000
    old SP = 3600
    old profit = 600

    new CP = 3050
    new SP = 3600 + 30 = 3630
    new profit = 580

    change in profit = 20
    percentage change in profit = 20/600 = .0333333 = 3 1/3%

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    posted by Reiny

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