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?

170 kg

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175 kg

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160 kg

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165 kg

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Solution

The correct option is A 170 kg
Since the percentage of gold in both alloys is the same, any mixture of the two will contain the same percentage concentration of gold. Hence, we get
First alloy: Gold: Silver: Platinum
30: 30: 40
Second alloy 30: 26: 44

Quantity of Platinum = 40150/100 + 44250/100 = 170 kg

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