An apparatus for determining concentrations of hemoglobins includes a light source for emitting lights of at least three different wavelengths, a first wavelength in a near-infrared region, a second wavelength in a red region, and a third wavelength in a red orange region, light receiving device for receiving light emitted by the light source, transmitted through a living tissue or reflected by the living tissue, attenuation ratio processing device for processing attenuation ratios between the wavelengths in accordance with variations of received-light output signals in each of the wavelengths output from the light receiving device, the variations are caused by a pulsation of blood and concentration ratio processing device for processing concentration ratios of at least oxyhemoglobin and methemoglobin based on the output signals from the attenuation ratio processing device.