Latest Syntel Aptitude Question SOLUTION: The difference between the simple interest and compound interest for 2 years is Rs 25 if rate of interest is 5 % p.a. Then find the sum?

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The difference between the simple interest and compound interest for 2 years is Rs 25 if rate of interest is 5 % p.a. Then find the sum?

Asked In Syntel anvity (12 years ago)

Solved DEBARSHI DALAI Read Solution (4)

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DEBARSHI DALAI  (12 years ago)

LET THE PRINCIPAL BE RS 100
THEREFORE S.I= (100*5*2)/100 = RS 10
COMPOUND INTEREST(C.I)= 100(1+ 5/100)^2 -100 = RS 10.25
THEREFORE C.I - S.I = 10.25 -10 = 0.25
IF DIFFERENCE IS RS O.25 ,THE PRINCIPAL = RS 100
IF DIFFERENCE IS RS 25 ,THEN PRINCIPAL = 100* 25/0.25 = RS 10000 (ANS)

Is this solution Helpfull? Yes (36) | No (4)  

Dr.Dipin Singh  (12 years ago)

It means in case of CI, 2nd year interest on interest of first year is Rs 25.
Then interest of first year = 25*100/5 = Rs 500
Hence principal sum = 500*100/5 = Rs 10000

Is this solution Helpfull? Yes (16) | No (2)  

siri  (11 years ago)

shortcut method:
difference= sum(rate/100)^2
25= sum(5/100)^2
25= sum(1/400)
so, sum= 10000(answer)

Is this solution Helpfull? Yes (13) | No (3)  

Sashank Raj Sah  (12 years ago)

Hello Dipin, will u plz explain a little more of yr sol of this problem??
yrs solution is a nice short cut one.
however, de CI of 2 yrs=P[1+5/100]^2 -P
and the SI for 2 yrs=P*2*5/100, so subtractng both, and equating to 25 we get the principal as Rs 10000.

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