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Answer:
Cost price are 17.23 rupees.
Step-by-step explanation:
1. Here it is given that
Selling price (S.P)= 20.20
Let cost price (C.P)= x
Percentage of profit = x%
2. Selling price(S.P) = Cost Price (C.P) + Profit
\mathbf{20.20= x + \frac{x}{100}\times x}20.20=x+
100
x
×x
\mathbf{20.20= x + \frac{x^{2}}{100}}20.20=x+
100
x
2
\mathbf{2020=100x+x^{2}}2020=100x+x
2
\mathbf{x^{2}+100x-2020=0}x
2
+100x−2020=0
So
\mathbf{x=\frac{-100\mp \sqrt{\left ( 100^{2}-4\times 1\times (-2020) \right )}}{2}}x=
2
−100∓
(100
2
−4×1×(−2020))
After solving above we get
x= 17.32
So cost price = 17.32 rupees
and percentage of profit = 17.32
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