Question

an alloy a is formed by mixing gold and silver

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Answer 1

Answer:

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Step-by-step explanation:

There are two alloys of platinum, silver and gold. The first alloy is known to contain 40 per cent of platinum and the silver alloy 26 per cent of copper. 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 which contains 30 per cent of gold. How many kg of platinum are there in the new alloy?

Answer

FIRST ALLOY

1

st

Alloy 150kg is used.

40% is platinum in first alloy

100

40

×150=60kg of PLATINUM

SECOND ALLOY

2

nd

ALLOY 250kg is used

26% of silver =

100

26

×250=65kg

New alloy =150+250=400kg has 30% gold =

100

30

×400=120kg gold

since both contain same % of gold x% of 150 + x% of 250=120

100

x

×150+

100

x

×250=120

1.5x+2.5x=120

x=30%

In second alloy 100−(30+26)=44% of platinum is there

44% of 250 =

100

44

×250=110kg

In new Alloy Platinum is 110+60kg =170kg