Question

The ratio of the marked prices of A and B is
5:6. If A is sold at a x % discount and B is
sold at a y% discount, their selling prices are
in the ratio 18:21.6. If their cost prices are
in the ratio 3:4, find the ratio of their profit %.
(1) 1:1 (2) 5:6
(3) 4:5 (4) Cannot be determined​

Answer 1

Answer:

4) cannot be determined

Step-by-step explanation:

First, there is not discount because the ratio of 18:21.6 is equal to 180:216, which is 30:36, or 5:6, which happens to be the ratio of our marked prices. Then to find the profit we subtract the cost from the marked price, if we make our listed prices as 5x and 6x, and the cost of production at 3y and 4y, we are asked the question what is 5x-3y:6x-4y. And without a second equation we cannot find the ratio. This is also a trick question because many might think that x and y are equal, resulting in the ratio of 1:1 such as thinking the marketed price is 5 and 6 dollars, and the cost is 3 and 4 dollars, this results in 2:2 which is 1:1. But if we take for example a marketed price of 10 dollars to 12 dollars, and then a production or cost of 3 dollars to 4 dollars, the profit is 7 to 8 dollars, which is not 1:1.