Latest CAT Aptitude Question SOLUTION: Q. At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?

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Q. At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?

Asked In CAT Leelanand Kumar Yalla (10 years ago)

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Pargat Pal Singh  (10 years ago)

if x is the amount and r is rate of interest, then
x*2/5= x*r*10/100
r= 4%

Is this solution Helpfull? Yes (2) | No   

Leelanand Kumar Yalla  (10 years ago)

let us assume p=1;
t=10 years;
r=?
i=2/5;
2/5=1*10*r/100------>r=4%....

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sneha  (10 years ago)

amt=x
sum=2/5x
amt=si+sum=>x=2/5x+si
si=3x/5
3x/5=2x/5*10*r/100
r=15%

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

SARAVANAKUMAR  (5 years ago)

From the Question:

At what %, SI will be = 2/5 (Amount)

SI = 2/5 A

SI = 2/5 (SI + P)

5*SI = 2*SI + 2*P

3*SI =2*P

3*(PNR/100) = 2*P

3*(P*10*R/100) = 2*P

cancel P on both sides and simplify

3*(10*R/100) = 2

So, RATE OF INTEREST is,

R = 200/30

R = 20/3 %

R = 6 Two Third % or 6.66%

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naagar  (10 years ago)

1/5=(1*R*10)/100
so R=2%

Is this solution Helpfull? Yes | No (3)  

Arijit Bhowmik  (10 years ago)

2/5th is 40%
so 40% interest in 10 yrs so Simple Interest per annum is 40/10=4%
so 4% is answer

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