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Logical Reasoning
Mathematical Reasoning
16. A mass of copper and brass weighs 24 kg and is worth Rs. 30.50. If the proportion of copper and brass be interchanged the mass would be worth Rs. 35.50. If 2 kg of copper and 3 kg of brass cost Rs. 6.75, find the cost of copper per kg ?
Read Solution (Total 2)
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- 1.5 rs
let x be mass of copper
let y be mass of brass
x+y=24
let c1 be cost of copper;
c2 be cost of brass
xc1+yc2=30.50
xc2+yc1=35.50
By adding these two
c1(x+y)+c2(x+y)=66
24c1+24c2=66
by simpling
4c1+4c2=11
and given
2c1+3c2=6.75
multiplying by 2
4c1+6c2=13.5
4c1+4c2=11
by substracting
c2=1.25
& c1=1.5 - 11 years agoHelpfull: Yes(75) No(0)
2c+3b=6.75
xc+b(24-x)=30.50
put x=2
2c+22b=30.05
19b=23.3
b=(23.3/19)
c=(6.75-(23.3/19))/2
c=2.76- 11 years agoHelpfull: Yes(1) No(12)
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