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ICSE Class 8 Answered

Renu sold an article at a loss of 8 percent had she bought it at 10 percent less and sold it for rs 36 more, she would have gained 20 percent. Find the cp of the article 
Asked by Anushreetripathi | 08 Feb, 2020, 02:40: PM
answered-by-expert Expert Answer
Renu sold an article at a loss of 8 percent
Loss % = begin mathsize 16px style fraction numerator SP minus CP over denominator CP end fraction cross times 100 equals 8 end style
SP = 0.92CP ...(i)
she bought it at 10 percent less and sold it for rs 36 more.
New SP = Old SP + 36
90% of CP = 0.9CP
Profit = begin mathsize 16px style fraction numerator SP minus CP over denominator CP end fraction cross times 100 equals 20 end style
begin mathsize 16px style fraction numerator SP plus 36 minus 0.9 CP over denominator 0.9 CP end fraction cross times 100 equals 20 end style
Solving we get
SP = 1.08CP - 36  ...(ii)
From (i) and (ii)
we get CP = Rs. 225
Answered by Sneha shidid | 10 Feb, 2020, 09:32: AM

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