The cost price of item B is Rs. 200/- more than the cost price of item A. Item A was sold at a profit of 20% and item B was sold at a loss of 30%. If the respective ratio of selling prices of items A and B is 6 : 7, what is the cost price of item B?
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Let the C.P. of item A be x
Then C.P. of item B =x+200
Selling price of Item A = x+
100
20
x=
5
6
× x
Selling price of item B = (x+200)−
100
30
(x+200)=
10
7
× (x+200)
Also S.P of A : S.P. of B = 6:7
Thus ,
5
6
× x :
10
7
× (x+200) = 6:7
Solving we get x=200
So Cost Price of B =400
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