Density from mass and shared volume

Steps:

• Mass of water = 361 g - 103 g = 258 g
• Volume of beaker = mass of water / density of water = 258 g / 1.00 g cm^{-3} = 258 cm³
• Mass of oil = 351 g - 103 g = 248 g
• Density of oil = mass of oil / volume = 248 g / 258 cm³ = 0.96 g cm^{-3}

Why A is correct:

• Density formula ρ = m/V gives 248/258 = 0.96 g cm^{-3} exactly, as volume is identical for both liquids.

Why the others are wrong:

• B: 0.97 g cm^{-3} implies oil mass of ~251 g, exceeding actual 248 g.
• C: 1.03 g cm^{-3} implies oil mass of ~266 g, far above 248 g.
• D: 1.04 g cm^{-3} implies oil mass of ~268 g, even higher than actual.

Final answer: A