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ICSE-VIII-Mathematics

08: Profit, Loss and Discount Class 8 Maths

with Solutions - page 4
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  • #3
    A man sells 12 articles for Rs. 80 gaining 33%. Find the number of articles bought by the man for Rs. 90.
    Ans : S.P. of 12 articles = Rs. 80,
    Gain = 33 1/3% = 100/3%
    C.P. = 100/(100 + Gain) × S.P.
    = 100/(100 + 100/3) × 80
    = 100/{(300 + 100)/3} × 80
    = 100/(400/3) × 80
    = 100 × 3/400 × 80
    = Rs. 60
    Rs. 60 is the cost of 12 articles
    Re. 1 is the cost of = 12/60 article
    Rs. 90 is the cost of = 12/60 × 90
    = 1/5 × 90 = 18
    Man can buy article for Rs. 90 = 18