Ratio and Proportion Practice Test 3

Question : 27 of 40

Marks: +1, -0

Gold is 19 times as heavy as water and copper 9 times as heavy as water. The ratio in which thesetwo metals be mixed so that the mixtures is 15 times as heavy as water is:

1 : 2
2 : 3
3 : 2
19 : 135

Validate

Solution:

Let 1 gm of gold be mixed with x gm of copper to give (1 + x) gm of mixture.
Now, 1G = 19w
and 1C = 9w
and mixture = 15w
Now, 1 gm gold + x gm copper
= (1 + x) gm mixture
∴ 19w + 9w × x = (1 + x) × 15w
Thus, 4w = 6wx

⇒x=2/3

So, the required ratio is

1:2/3 i.e. 3:2

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