Hydrostatic pressure depends on density and depth Steps:

• Pressure in a fluid is given by P = ρ g h, where ρ is density, g is gravitational acceleration, and h is depth.
• For equal pressures in liquids X and Y, set ρ_X g h_X = ρ_Y g h_Y.
• Cancel g to get ρ_X h_X = ρ_Y h_Y.
• Solve for ratio: h_X / h_Y = ρ_Y / ρ_X = 1200 / 800 = 3/2.

Why C is correct:

• Option C gives depths in the ratio 15 m (X) to 10 m (Y), or 3:2, matching the inverse density ratio from Pascal's law for hydrostatic equilibrium, so 800 × 15 = 12000 = 1200 × 10.

Why the others are wrong:

• A: Ratio 8:20 = 2:5; products 800×8=6400 ≠ 1200×20=24000.
• B: Insufficient information (option incomplete).
• D: Ratio 20:8 = 5:2; products 800×20=16000 ≠ 1200×8=9600.

Final answer: C