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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? - Mathematics

Sum

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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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 8 Profit, Loss and Discount
Exercise 8 (C) | Q 8 | Page 95
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