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.
A vessel contains a mixture of milk and water in the ratio of 5:3 respectively. How much of the mixture must be siphoned off and replaced with water, so that the mixture may be half milk and half water?
In a mixture of milk and water of 120 litres, the ratio of milk to water is 2 : 1. lf the ratio of milk to water needs to be 1 : 2, then the amount of water that needs to be added to the mixture is:
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 jar contained a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture was taken out and 10 litres of liquid B was poured into the jar, this ratio became 2 : 3. The quantity of liquid A contained in the jar initially was
A vessel contains solution of two liquids A and B whose ra- tio is 5 : 3. If 10 litres solution is withdrawn from vessel and B is added to its in equal quantity then ratio of their quantities becomes 10 : 11. The quantity of solution in vessel is:
The ratios of copper to zinc in alloys A and B are 3 : 4 and 5 : 9 respectively. A and B are taken in the ratio 2 : 3 and melted to form a new alloy C. What is the ratio of copper to zinc in C?
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 purchased 35 kg of rice at the rate of Rs. 9.50 per kg and 30 kg at the rate of Rs. 10.50 per kg. He mixed the two. Approximately, at what price (in Rupees) per kg should he sell the mixture to make 35 per cent profit in the transaction?
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.
A 20 litre mixture contains milk and water in the respective ratio of 3 : 2. Then 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively?
