Question

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?​

Answer 1

Step-by-step explanation:

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