A rectangular bar of soap has density \( 800 \mathrm{~kg} / \mathrm{m}^{3} \) floats in water of....

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A rectangular bar of soap has density \( 800 \mathrm{~kg} / \mathrm{m}^{3} \) floats in water of density \( 1000 \mathrm{~kg} / \mathrm{m}^{3} \). Oil of density \( 300 \mathrm{~kg} / \mathrm{m}^{3} \) is slowly added, forming a layer that does not mix with the water. When the top surface of the oil is at the same level as the top surface of the soap.
\( \mathrm{P} \)
What is the ratio of the oil layer thickness to the soap's thickness, \( \mathrm{x} / \mathrm{L} \) ?
(1) \( \frac{2}{10} \)
(2) \( \frac{2}{7} \)
(3) \( \frac{3}{10} \)
(4) \( \frac{3}{8} \)


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