Advertisements
Advertisements
प्रश्न
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?
पर्याय
`1/5`
`1/4`
`1/3`
`1/7`
Advertisements
उत्तर
`1/5`
Explanation:
Let the vessel contains 8 litres of liquid.
Let x litres of this liquid be replaced with water
Quantity of water in new mixture`=(3-(3"x")/8+"x")`litres
Quantity of milk in new mixture`=(5-(5"x")/8)`litres
`∴(3-(3"x")/8+"x")=(5-(5"x")/8)`
⇒ 5x + 24 = 40 - 5x
⇒ 10x = 16
∴`"x"=8/5`
So, part of the mixture replaced`=(8/5xx1/8)=1/5`
APPEARS IN
संबंधित प्रश्न
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:
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.
If two litres of water is evaporated from a 5 litre solution containing 3% salt, then what is the percentage of salt in the remaining solution?
In what ratio, sugar costing ₹ 60 per kg be mixed with sugar costing ₹ 42 per kg such that by selling the mixture at ₹ 56 per kg there is gain of 12%?
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 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 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?
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?
The ratio of boys to girls in a class is 2 : 3. The average weight of boys is 30 kg and the average weight of girls is 28 kg. What is the average weight of the entire class?
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?
