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A man invests an amount of $\text₹15,860$ in the names of his three sons $A,B$ and $C$ in such a way that they get the same interest after $2,3$ and $4$ years respectively. If the rate of simple interest is $5\%$, then the ratio of the amounts invested among $A,B$ and $C$ will be

  1. $10:15:20$
  2. $110:115:120$
  3. $\dfrac{1}{10} : \dfrac{1}{15}:\dfrac{1}{20}$
  4. $\dfrac{1}{110}:\frac{1}{115}:\frac{1}{120}$
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Answer is C

Let the amount the man invested from the sum of Rs.15860 in the name of 3 sons be x, y and z. As the Simple Interest received is same,

$\frac{x*2*5}{100}=\frac{x*3*5}{100}=\frac{x*4*5}{100}$ = k, so 

$x:y:z=\frac{100k}{10}:\frac{100k}{15}:\frac{100k}{20}$

Divide by 100k, we will get

$x:y:z=\frac{1}{10}:\frac{1}{15}:\frac{1}{20}$

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