P5/P6 Math: Same Container Filled with Different Fractions of Liquids

Such questions refreshes the concept of P4 constant difference where the student cannot ignore the presence of the container that is holding the items within.

Questions like these usually appear in Paper 1 of P5 and P6 exams.
Calculator usage is not allowed.

Similar versions of this concept with varying difficulties can also be found "here".

A bottle, when completely filled with water, has a mass of 1000g.
The same bottle, when only 1/2 filled, is 600g.

a) What is the mass of the empty bottle?
b) What is the mass of the bottle if 1/4 filled with water?

If the above question is easy, try to do the more challenging question below.

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