Bunuel
Wonka Industries sells two kinds of candy: Toblerone and Wonka Bar. Due to a crisis, both of them are sold at a loss. The ratio of the cost price of Toblerone to the cost price of Wonka Bar is 7 to 9 and the ratio of selling price of Toblerone to the selling price of Wonka Bar is 5 to 7. If Wonka Industries looses the same amount on both candies, then what is the ratio of the cost price to the selling price of Toblerone ?
A. 5:7
B. 9:8
C. 7:5
D. 12:7
E. 12:6
The ratio of the cost price of Toblerone to the cost price of Wonka Bar is 7 to 9. The ratio of cost price is:
\(7x:9x\), for some positive multiple x.
The ratio of selling price of Toblerone to the selling price of Wonka Bar is 5 to 7. The ratio of selling price is:
\(5y:7y\), for some positive multiple y.
Wonka Industries looses the same amount on both candies:
\(7x - 5y = 9x - 7y\);
\(x=y\).
The question asks:
what is the ratio of the cost price to the selling price of Toblerone ?\(\frac{7x}{5y} =\frac{ 7x}{5x} = \frac{7}{5}\).
Answer: C.