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Earn 100

The distance of the horizon at sea varies as the square root of the height of the eye above sea-level. When the distance is 14.4 km, the height of the eye is 18 metres. Find, in kilometres, the distance when the height of the eye is 8 metres.
 

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Important Questions on Ratio, Proportion and Variation

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A mixture of cement, sand and gravel in the ratio of 1:2:4 by volume is required. A person wishes to measure out quantities by weight. He finds that the weight of one cubic foot of cement is 94 kg, of sand 100 kg and gravel 110 kg. What should be the ratio of cement, sand and gravel by weight in order to give a proper mixture?
 
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In 2006, Raveendra was allotted 650 shares of Sun Systems Ltd in the initial public offer, at the face value of 10 per share. In 2007, Sun Systems declared a bonus at the rate of 3:13. In 2008, the company again declared a bonus at the rate of 2:4. In 2009, the company declared a dividend of 12.5%. What is the ratio of the dividend and the initial investment of Raveendra in 2009?
 
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The ratio of metal '1' and 'metal '2' in Alloy 'A' is 3:4. In Alloy 'B' same metals are mixed in the ratio 5:8. If 26 kg of Alloy 'B' and 14 kg of Alloy 'A' are mixed then find out the ratio of metal 1' and 'metal 2 in the new Alloy -?
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Karam Purchased four varieties of paint at the rate of 0.10 litres per 0.20 litres per   ,0.30 litres perand 0.40 litre per If he mixes all the four varieties of paints in the ratio of 1: 2: 3: 4 in the given order, then find the price in /litre) at which Karam should sell the mixture to make a profit of 10% on this entire stock
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An alloy of gold and silver is taken in the ratio of 1:2, and another alloy of the same metals is taken in the ratio of 2:3. How many parts of the two alloys must be taken to obtain a new alloy consisting of gold and silver that are in the ratio 3:5?
 
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There are two quantities of oil, with the masses differing by 2 kg. The same quantity of heat, equal to 96 kcal, was imparted to each mass, and the larger mass of oil was found to be 4 degrees cooler than the smaller mass. Find the mass of oil in each of the two quantities.
 
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There are two alloys of gold and silver. In the first alloy, there is twice as much gold as silver, and in the second alloy there is 5 times less gold than silver.How many times more must we take of the second alloy than the first in order to obtain a new alloy in which there would be twice as much silver as gold?

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Calculate the weight and the percentage of zinc in the zinc-copper alloy being given that the latter's alloy with 3 kg of pure zinc contains 90 percent of zinc and with 2 kg of 90% zinc alloy contains 84% of zinc.