Answer:
The amount of heat absorbed is the same.
Explanation:
Let's label water as substance 1 and the other liquid as substance 2. We know so far that:
Now we know that the amount of heat absorbed is calculated by the product between specific heat capacity, mass and the change in temperature. Although the initial and final temperatures are not the same for the two substances, the change in temperature is.
Now let's express mass as a product between density and volume:

Heat absorbed by the water:

Heat absorbed by the unknown liquid:

Notice now that: 
This means the amount of heat absorbed by each substance is the same.