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, 14:40: PM
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](https://images.topperlearning.com/topper/tinymce/cache/e690c3cf12c7ee37b4b2b51846f0e647.png)
![begin mathsize 16px style fraction numerator SP minus CP over denominator CP end fraction cross times 100 equals 8 end style](https://images.topperlearning.com/topper/tinymce/cache/e690c3cf12c7ee37b4b2b51846f0e647.png)
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](https://images.topperlearning.com/topper/tinymce/cache/6c9c729f93428b5d37067e507b9334b3.png)
![begin mathsize 16px style fraction numerator SP minus CP over denominator CP end fraction cross times 100 equals 20 end style](https://images.topperlearning.com/topper/tinymce/cache/6c9c729f93428b5d37067e507b9334b3.png)
![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](https://images.topperlearning.com/topper/tinymce/cache/cdf71ab78a98f5b875af8cac6f827a20.png)
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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