CBSE Class 8 Mathematics
Question 7 of 12
Proportional Reasoning 1 — Question 7
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Question The mass of equal volumes of gold and water is in the ratio 37 : 2. If 1 litre of water is 1 kg in mass, what is the mass of liter of gold?
The ratio of masses of gold and water, when their volumes are the same, is 37 : 2. Mass of 1 litre of water = 1 kg Let the mass of 1 litre of gold = x kg ∴ With equal volumes, the ratio of masses of gold and water is x : 1. These ratios are in proportion. ∴ 37 : 2 :: 1 : x ⇒ \(\frac{37}{2}=\frac{x}{1}\) ⇒ x = \(\frac {37}{2}\) Thus, the mass of 1 litre of gold is \(\frac {37}{2}\) kg.