Latest Elitmus Aptitude Question SOLUTION: A material's cost is directly proportional to the square of its weight.When this material is broken into pieces of the weight ratio 1:2:3:5,it fetched Rs.162000( m not sure what th

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A material's cost is directly proportional to the square of its weight.When this material is broken into pieces of the weight ratio 1:2:3:5,it fetched Rs.162000( m not sure what this value was).So what is the original cost of material?
Perhaps the answer was Rs.242000

Asked In Elitmus Saurabh (10 years ago)

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Saurabh  (10 years ago)

Question was this after breaking into pieces it fetched Rs.164000,original price?
Let original weight=x
Cost=kw^2 (k proportionality const )
Now material broken into ratio 1:2:3:5 so weight of individual piece is 1/11w,2/11w,3/11w,5/11w
Cost = kw^2/121 + 4kw^2/121 + 9kw^2/121 + 25kw^2/121 =39kw^2/121
As per ques . kw^2 - 39kw^2/121 = 164000
Original value kw^2 would come out as 242000

Is this solution Helpfull? Yes (14) | No   

Saurabh  (10 years ago)

Question was typed wrng,it was like that:
It fetched Rs.162000 less on sell after it is broken

Is this solution Helpfull? Yes (4) | No   

Avinash  (10 years ago)

weights are 1x,2x,3x,5x
sum of individual squares=1+4+9+25=39x^2
as given 39x^2=162000
x^2=4154
Have to find original cost which is (1x+2x+3x+5x)^2=121x^2
121x^2=121*4154
=502634(approx)

Is this solution Helpfull? Yes (2) | No (2)  

raushan kumar  (10 years ago)

X^1+2X^2+3X^2+5X^2 = 162000
39X^2=162000
x=sqrt of 162000/39

Is this solution Helpfull? Yes (1) | No (3)  

kumar rahul dev  (10 years ago)

sum of squares of weight =total given amount
(1x+2x+3x+5x)^2=162000
121x^2=162000
x^2=162000/121
original cost=1338.84

Is this solution Helpfull? Yes | No (2)  

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