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OJASWI KOTHARI

· started a discussion

· 1 Months ago

KINDLY EXPLAIN

Question:

An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to from a third alloy, then the weight of lead per kg in the new alloy will be –

Options:
A)

12    kg

B)

18   kg

C)

314    kg

D)

79    kg

Solution:

Ans: (b)


Knowledge Expert

· commented

· 1 Months ago

Dear Student

Detailed Explanation-
Ratio of Zinc, Copper and Tin is given as,
Z : C : T = 2 : 3 : 1.
Now, let the first alloy be 12 kg (taken as 4 kg Zinc, 6 kg Copper and 2 Kg Lead). Weight of second alloy = 12 kg as, C : T : L = 5 : 4 : 3. (taken as 5 kg Copper, 4 kg Tin and 3 Kg Lead.)
Alloys are mixed together to form third alloy. Then the ratio of content in it,
Z : C : T : L = 4 : (6+5) : (2+4) : 3
Weight of third alloy = 12+12 = 24 Kg.
So, weight of the Lead = 3/24 = 1/8 kg.

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