CBSE Class 10 Answered
A piece of cloth costs Rs 200.If the piece was 5m longer and each metre of cloth costs Rs 2 less the cost of the piece would have remained unchanged . How long is the piece and what is the original rate per metre.
Asked by Patwal405 | 26 Jan, 2019, 18:45: PM
![begin mathsize 16px style Let space straight x space be space the space original space length space in space metre space and space its space cost space be space Rs. space straight y.
xy equals 200..... left parenthesis straight i right parenthesis
200 over straight x space will space be space the space new space cost space in space metres.
According space to space the space question comma
open parentheses straight x plus 5 close parentheses open parentheses 200 over straight x minus 2 close parentheses equals 200
Solving space this space we space get
straight x squared plus 5 straight x minus 500 equals 0
Using space quadratic space equation space formula space we space get
straight x equals 20
Find space straight y space using space left parenthesis straight i right parenthesis space we space get space straight y space equals space 10
end style](https://images.topperlearning.com/topper/tinymce/cache/7e19161aa795deb45c9baa6304bbd169.png)
Answered by Sneha shidid | 26 Jan, 2019, 19:42: PM
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