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ICSE Class 9 Answered

A table is sold for Rs.144 and value of it's gain % is same as that of the value of it's cost price. Find the cost price
Asked by dr_pradip27121972 | 14 Mar, 2018, 03:43: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight x space be space the space cost space price.
Therefore space percent sign gain equals percent space profit space equals straight x
space percent space profit space space space space equals space fraction numerator profit over denominator straight C. straight P end fraction space cross times space 100
Therefore space space space space space space space space straight x space equals space profit over straight x space cross times space 100
Therefore space profit space equals straight x squared over 100
Since space space space Selling space price space equals cost space price space plus space profit
Therefore space space space space space space space space space space space 144 space equals straight x space plus space straight x squared over 100
Therefore space space space space space space space space space space space straight x squared space plus space 100 straight x space minus 14400 space equals space 0
By space solving space the space Quadratic space Equation space comma we space will space get
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight x space equals negative 180 space or space straight x space equals 80
But space Cost space price space can apostrophe straight t space be space negative.
Therefore space Cost space Price space of space table space is space Rs. space 80

end style
Answered by Yasmeen Khan | 14 Mar, 2018, 05:15: PM
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