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Question
Mohan bought a certain number of note-books for Rs.600. He sold `1/4` of them at 5 percent loss. At what price should he sell the remaining note-books so as to gain 10% on the whole?
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Solution
C.P. of note-books = Rs.600
Gain desired on the whole = 10%
∴ Total S.P. of all the note-books
`=((100+"gain"%))/100xx"C.P."=((100+10)/10)xx"Rs."600`
= Rs.`110/100xx600` = Rs.660
C.P. of `1/4` of the note-books =`1/4xx"Rs."600`
= Rs. 150
Loss on these note-books = 5%
∴ S.P. of this note-book
`=((100-"Loss"%))/100xx"C.P."=((100-5))/100xx"Rs."150`
= Rs.`95/100xx150`
= Rs. `14250/100`
= Rs. 142.50
Now, C.P. of the remaining note-books
= Rs.600 − Rs.150 = Rs.450
Required S.P. of the remaining note-books
= Rs.660 − Rs.142.50 = Rs.517.50
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