Latest TCS Aptitude Question SOLUTION: The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1:2:3:4. When the pieces were sold, the merchan

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(#M40024903) TCS Numerical Ability question Keep an EYE

The cost of diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio 1:2:3:4. When the pieces were sold, the merchant got `70000 less. Find the original price of the diamond.

a. 1.4 lakh
b. 2 lakh
c. 1 lakh
d. 2.1 lakh

Asked In TCS aninda das (11 years ago)

Solved Soumya Sargam Read Solution (6)

Is this Puzzle helpful?   (28)   (7) Submit Your Solution Ratio and Proportion

Read Solution (6) :

Soumya Sargam  (11 years ago)

weight of total diamond=x+2x+3x+4x=10x
so cost price of big diamond=(10x)^2=100x^2
now when in pieces;
total selling cost of pieces=x^2+(2x)^2+(3x)^2+(4x)^2=30x^2
now
loss=cp-sp;
70000=(100-30)x^2;
or 70x^2=70000;
or x^2=1000

henceoriginal cost=cost price=cp=100x^2=100000
ans c)

Is this solution Helpfull? Yes (69) | No (2)  

Sachin Tyagi  (11 years ago)

ans is 1 Lakh by hit and trial
cost is directly propotional to square of weight total weight is 1+2+3+4=10
so c=k*w^2
10000=k*10*10 from here k=1000
then
c1=k*1^2=1000*1*1=1000
c2=k*2^2=1000*4=4000
c3=k*3^2=1000*9=9000
c4=k*4^2=1000*16=16000
total c1+c2+c3+c4=30,000 which is 70,000 less then 100,000 which is original cost.

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yanna raskala  (11 years ago)

yo babay its 1 lakh u kknow

Is this solution Helpfull? Yes (3) | No (7)  

Guru Pranav  (11 years ago)

Very Nice Question !!!

answer is 100000

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gayathri  (11 years ago)

Ans:1 lakh
let price of diamond=x^2
total price of 4 pieces=y^2(1+4+9+16)=30y^2
weight is same x=(1+2+3+4)y=10y
price of original diamond=(10y)^2=100y^2
100y^2-30y^2=70000
y^2=1000
original price=100y^2=100(1000)=100000

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

kln  (6 years ago)

given four piece =1+2+3+4=10
10pieces=100
square of weight=1+4+9+16=30
when sold =100-30=70
70=70000
1piece=1000
100piece=100000

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