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Earn 100

There are two alloys of gold, silver and platinum. The first alloy is known to contain 40 percent of platinum and the second alloy 26 percent of silver. The percentage of gold is the same in both alloys. Having alloyed 150 kg of the first alloy and 250 kg of the second, we get a new alloy that contains 30 percent of gold. How many kilograms of platinum is there in the new alloy?
 

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Important Questions on Ratio, Proportion and Variation

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Two alloys of iron have different percentage of iron in them. The first one weighs 6 kg and second one weighs 12 kg. One piece each of equal weight was cut off from both the alloys and the first piece was alloyed with the second alloy and the second piece alloyed with the first one. As a result, the percentage of iron became the same in the resulting two new alloys. What was the weight of each cut-off piece?
 
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Two litres of a mixture of wine and water contain 12% water. They are added to 3 litres of another mixture containing 7% water, and half a litre of water is then added to whole. What is the percentage of water in resulting concoction?
 
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Three vessels having volumes in the ratio of 1:2:3 are full of a mixture of coke and soda. In the first vessel, ratio of coke and soda is 2:3, in second, 3:7and in third, 1:4. If the liquid in all the three vessels were mixed in a bigger container, what is the resulting ratio of coke and soda?
 
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Two types of tea are mixed in the ratio of 3:5 to produce the first quality and if they are mixed in the ratio of 2:3, the second quality is obtained. How many kilograms of the first quality has to be mixed with 10 kg of the second quality so that a third quality having the two varieties in the ratio of 7:11 may be produced?
 
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A toy weighing 24 grams of an alloy of two metals is worth 174, but if the weights of metals in alloy be interchanged, the toy would be worth 162. If the price of one metal be 8 per gram, find the price of the other metal in the alloy used to make the toy.
 
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The weight of three heaps of gold are in the ratio 5:6:7. By what fractions of themselves must the first two be increased so that the ratio of the weights may be changed to 7:6:5?

 
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An alloy of gold, silver and bronze contains 90% bronze,7% gold and 3% silver. A second alloy of bronze and silver only is melted with the first and the mixture contains 85% of bronze, 5% of gold and 10% of silver. Find the percentage of bronze in the second alloy?
 
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Gunpowder can be prepared by saltpetre and nitrous oxide. Price of saltpetre is thrice the price of nitrous oxide. Notorious gangster Kallu Bhai sells the gun-powder at2160 per 10 gm, thereby making a profit of 20%. If the ratio of saltpetre and nitrous oxide in the mixture be 2:3, find the cost price of saltpetre.