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ICSE Class 9 Answered

Price of an article is marked up by Rs 300. If 20% discount is offered then the percentage of the profit earned is 28% then what will be s.p which is sold at the discount of 10%
Asked by Rp7350876 | 10 May, 2020, 10:55: AM
answered-by-expert Expert Answer
Let the Cost Price of the article be Rs. p
Therefore, Marked Price M.P. = Rs. (p + 300)
Discount % = 20%
Discount amount = 20% of M.P. = 20% of (p+300) = (p+300)/5
Selling Price S.P. = M.P. - Discount = (p+300) - (p+300)/5 = 4/5 (p+300)
Profit % = 28%
Profit = 28% of p
Therefore, C.P. + Profit = S.P.
p + 28/100 x p = 4/5 (p+300)
128p/100 = 4(p+300)/5
128p = 80(p+300)
128p = 80p + 24000
48p = 24000
p = 500
Therefore, C.P. = Rs. 500
S.P. = 4/5 (p+300) = 4/5 x (500+300) = 4/5 x 800 = Rs. 640
Hence, the selling price is Rs. 640.
Answered by Renu Varma | 11 May, 2020, 11:29: AM

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