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

Let the C.P. of item A be $x$

Then C.P. of item B $=x+200$

Selling price of Item A = $x+\frac{20}{100}x=\frac{6}{5}\times$ $x$

Selling price of item B = $(x+200)-\frac{30}{100}(x+200)=\frac{7}{10}\times$ ($x+200$)

Also S.P of A : S.P. of B = $6:7$

Thus , $\frac{6}{5}\times$ $x$ : $\frac{7}{10}\times$ ($x+200$) = $6:7$

Solving we get $x=200$

So Cost Price of B $=400$