Latest TCS Aptitude Question SOLUTION: (a% of a)+ (b% ofb)=2% of ab, then what percentage of a is b? options a)50% b)75% c)100% d) cant be detemined

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(a% of a)+ (b% ofb)=2% of ab, then what percentage of a is b? options a)50% b)75% c)100% d) cant be detemined

Asked In TCS A.Sharmila (10 years ago)

Solved manraj meena Read Solution (11)

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Read Solution (11) :

rohin  (10 years ago)

a^2/100+b^2/100=2*a*b/100...so a-b=0 ...a=b so 100%

Is this solution Helpfull? Yes (34) | No   

manraj meena  (10 years ago)

hello ...........
a/100*a+b/100*b=2/100*ab
after solving
a^a+b^b=2ab
we can write (a-b)^2==0
this equation is only true whan a=b
so 100% ans

Is this solution Helpfull? Yes (23) | No   

Satyaki   (10 years ago)

a%of a means= a/100*a = a^2/100
similarly b% of b will be b^2/100
and 2% of ab will be 2ab/100
now putting in d eqn we will get -
a^2+b^2=2ab(100 is eliminated from both sides)
Now, this is the formula of (a-b)^2=0
so that results to a=b .
That means ans in 50% .
*plz let me know if I am correct or not!*

Is this solution Helpfull? Yes (2) | No (12)  

Satyaki   (10 years ago)

sorry in my previous solution that will be 100% not 50% !

Is this solution Helpfull? Yes (2) | No   

meka hema latha  (10 years ago)

assume a and b as100.(100/100)*100=100
same for b
and 100/100*100=100(this is for a is of what % b)
so 100 is the answer

Is this solution Helpfull? Yes (2) | No   

Arshal Jain  (10 years ago)

100%.........................

Is this solution Helpfull? Yes (1) | No   

ragini dubey  (10 years ago)

(a^2+b^2)/100=2/100*ab
a^2+b^2-2ab=0
which implies, a-b=0
a=b
ans is 100%

Is this solution Helpfull? Yes (1) | No   

kosigi venunath  (10 years ago)

c.. (a-b)^2=0. a=b. a is 100% b.

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raswitha  (10 years ago)

from that (a-b)^2=0 so a-b=0 i.e a=b so ans is 100%

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shikha  (10 years ago)

ans is -
aa/100+bb/100=2ab/100
so a=b
now ax/100=b
so a=100%

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Akash Verma  (9 years ago)

a*a/100+b*b/100=2*ab/100,,, so a^2+b^2-2ab=0,,,(a-b)^2=0,, which can be achieved when a-b=0 that is a=b,, So ans=100%

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