Answer
If purchasing power parity holds, the peso-dollar exchange rate is 16 pesos/dollar.
When the price doubles to 24 pesos per dollar, the exchange rate increases to 32 pesos/dollar.
Work Step by Step
12 pesos purchases the same as .75 USD
$12/.75 = 16$
Now the price doubles to 24 pesos
24 pesos purchases the same as .75 USD
$24/.75 = 32$