Mineral

A rose coloured mineral specimen is given to you for identification. It has a conchoidal fracture, no streak, and a non-metallic lustre. It can be scratched with a steel file, but not with glass or a pocket knife blade. It has no streak. Its mass is 53 grams. You place it in water and it displaces a volume of 20 cubic centimetres of water.
a) What is the hardness of this mineral? Explain
b) What is the specific gravity of this mineral? Show calculations
c) Using all these properties, identify this mineral?