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Question
A man sold his bicycle for Rs.405 losing one-tenth of its cost price, find :
(i) its cost price;
(ii) the loss percent.
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Solution
(i) Let C.P. of the bicycle = Rs. x
∴ Loss = Rs.`"x"/10`
S.P. = C.P. − Loss
`="x"-"x"/10`
But, we are given S.P. = Rs.405
`∴ "x"-"x"/10=405`
`⇒(10"x"-"x")/10=405`
`⇒(9"x")/10=405`
`⇒"x"=405xx10/9`
`⇒"x"=4050/9`
⇒ x = 450
∴ C.P. = Rs.450
(ii) Loss =`"x"/10`
`=450/10` ....(substituting the value of x)
= Rs.45
Loss% =`"Loss"/"C.P."xx100`
`=45/450xx100=4500/450=10%`
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