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A body weights 150 g in air, 120 g in water and 130 g in a liquid. The density of liquid in g ${cm}^{- 3}$ is

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$\frac{15}{13}$

$\frac{13}{15}$

$\frac{2}{3}$

$\frac{4}{5}$

answer is A.

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Detailed Solution

Specific gravity of body = $\frac{150}{30} = 5$

Volume of body = $\frac{150}{5} = 30 {cm}^{3}$

Now, (150-130)g = 30 $\times$ $ρ_{1} \times g$

$\Rightarrow ρ_{l} = \frac{20}{30} = \frac{2}{3}$

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