A nut mix contains, by weight, 20 percent peanuts and...

swerve wrote:A nut mix contains, by weight, 20 percent peanuts, and 80 percent cashews. If the mixture costs 10 percent more than the cost of an equal quantity of pure peanuts, by what percent are cashews more expensive than peanuts?

A. 10%
B. 12.5%
C. 15.0%
D. 22.5%
E. 25.0%

The OA is B.

I think that I can solve this PS question in the following way,

Let the price of 100g peanuts be 100$.

So the price of 100 g mix = 110(20 g peanut + 80 g cashews).

Now 500 g mix will be 550(100 g peanut+400 g cashew).

As we know the price of 100 g peanut is 100; the price of 400 g cashews is 450.

So (450/400)*100=112.5, 12.5% more than the price of 100 g peanuts, right?

Is there a strategic approach to this question? Can any experts help, please?

swerve wrote:A nut mix contains, by weight, 20 percent peanuts, and 80 percent cashews. If the mixture costs 10 percent more than the cost of an equal quantity of pure peanuts, by what percent are cashews more expensive than peanuts?

A. 10%
B. 12.5%
C. 15.0%
D. 22.5%
E. 25.0%