On Selling a book at 5/12 of the marked price there is a loss of 50 percent. What will be the ratio of marked price and cost price of the book?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 6 : 5.
On Selling a book at 5/12 of the marked price
⇒ S.P. = 5/12 × M.P.....(1)
A loss of 50% means the selling price is 50% of the cost price
⇒ S.P. = 1/2 × C.P......(2)
Thus, equating eq 1 and 2 equal
⇒ 5/12 × M.P. = 1/2 × C.P.
⇒ M.P./C.P. = 6/5
⇒ M.P. : C.P. = 6 : 5
Thus,
The ratio of the marked price to the cost price of the book is 6 : 5