Advertisements
Advertisements
Question
Choose the most appropriate option.
Gold and copper are as heavy as water by 19 and 9 times respectively. The ratio in which these two metals be mixed so that the mixture is 17 times as heavy as water is:
Options
4:1
3:2
2:3
3:4
Advertisements
Solution
4:1
Explanation:
Let the mass of 1 volume unit of water be 1.
Then,
1 volume unit of gold has a mass 19 and 1 volume unit of copper has mass 9.
Now let g be the volume of gold used and c be the volume of copper.
Then,
(19 g + 9 c)/ (g + c) = 17
19 g + 9 c = 17 g + 17 c
2 g = 8 c
`"g"/"c"=8/2=4/1`
∴ Required ratio = 4: 1
APPEARS IN
RELATED QUESTIONS
Choose the most appropriate option:
60 kg of an alloy X is mixed with 100 kg of an alloy Y. If alloy X has lead and tin in the ratio of 3:2 and alloy Y has tin and copper in the ratio of 1:4, then the amount of tin in the new alloy is
Solve the following question and mark the best possible option.
There are some shepherds and their sheep are in a grazing field. The no. of total heads are 60 and total legs are 168 including both men and sheep. The no. of sheep is _______
A mixture contains alcohol and water in the ratio of 5 : 4. If 9 litres of water is added to the mixture, the ratio of alcohol to water becomes 4 : 5. Find the quantity of alcohol in the mixture.
An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this al- loy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?
A mixture of 12 kg of wheat flour costing ₹ 16 per kg and four kg of corn flour costing ₹ 2 per kg is sold at ₹ 16 per kg. What is the profit made in selling 40 kg of the mixture?
A man buys spirit at ₹ 60 per litre, adds water to it and then sells it at ₹ 75 per litre. What is the ratio of spirit to water if his profit in the deal is 37.5%?
A vessel contains, 64 litres of mixture of milk and water in the ratio 7 : 3 respectively. 8 litres of mixture is replaced by 12 litres of milk. What is the ratio of milk and water in the resulting mixture?
A vessel contains a mixture of Grape, Pineapple and Banana juices in the respective ratio of 4 : 6 : 5. 15 litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel? (in litres)
In 64 litres of mixture of wine and water, the ratio of wine and water is 3 : 1. Find the quantity of water required to make the ratio of wine and water 2 : 1.
Two liquids A and B are in the ratio 5 : 1 in container 1 and 1 : 3 in container 2. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio 1 : 1?
