An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:
A. $$\frac{{1}}{{2}}$$ kg
B. $$\frac{{1}}{{8}}$$ kg
C. $$\frac{{3}}{{14}}$$ kg
D. $$\frac{{7}}{{9}}$$ kg
Answer: Option B
Solution(By Examveda Team)
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 = $$\frac{{3}}{{24}}$$ = $$\frac{{1}}{{8}}$$ kg.Join The Discussion
Comments ( 11 )
Related Questions on Alligation
A. $$\frac{{1}}{{2}}$$ kg
B. $$\frac{{1}}{{8}}$$ kg
C. $$\frac{{3}}{{14}}$$ kg
D. $$\frac{{7}}{{9}}$$ kg
A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres
How z:c:t:l is calculated from z:c:t and c:t:l is there any formula?
I know the formula for calculating a:b:c:d when a:b , b:c and c:d is given.
why the weight is taken as 12kg for both alloy? why cannt v take 6kg of first alloy and 12 kg of next alloy?
GIVEN IN QUEST
Z : C : T = 2 : 3 : 1 =6
C : T : L = 5 : 4 : 3=12
why cannt v take 6kg IF U WANT TO TAKE, THEN TAKE IT AS C : T : L = 5/2 : 4/2 : 3/2
BECAUSE Z:C:T AND C:T:L SHOULD BE EQUAL .
If equal weights of both alloys are melted together to form a third alloy,
রিটেনে এভাবে করলে মার্কস দিবে?
Z : C : T = 2 : 3 : 1 or 4 : 6 : 2
C : T : L = 5 : 4 : 3
Z : C : T : L = 4 : 11 : 6 : 3
Weight of L = 3/24 = 1/8 (Ans.)
From this we learn that if in alloy content is equally mix then we have to make equal them
Could you Please Explain more elaborately...
Thank u very much.. now i understood very quickly. thank u so much for ur concern....
thank u sir
Subbu, you can take any weight according to your convenient but you need focus on the ration given of alloy. As alloy ratio is given, 2 : 3 : 1. So your taken weight would be in same ratio. That's why 4, 6 and 2 kg has been taken. It gives ratio 2 : 3 : 1. You can also take 8, 12 and 4 kg of metals which gives total alloy 24 kg. It will also give the same answer.
why the weight is taken as 12kg for both alloy? why cannt v take 6kg of first alloy and 12 kg of next alloy?
Thank you so much sir