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Cost of an item is x. It’s value increases by p% and decreases by p% Now the new value is 1 rupee, what is the actual value ?

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Cost of an item is x. It’s value increases by p% and decreases by p% Now the new value is 1 rupee, what is the actual value ?
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  1. Let the item cost be I then,
    Item cost by increasing p% will be:
    I(100+p)/100
    Item Cost by decreasing p% will be:
    I(100+p)(100-p)/100*100
    But the above is equal to 1.
    So,
    I(100^2-p^2)/100^2 = 1 => I = 100^2/(100^2 – p^2).