A person invested in all Rs. $2600$ at $4 %, 6 %$ and $8 %$ per annum simple interest. At the end of the year, he got the same interest in all the three cased. The money invested at $4 %$ is :

R s 200

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R s 600

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R s 800

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R s 1200

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Solution

The correct option is D $R s 1200$
A person invested Rs. $2600$ at $4 %, 6 %$ and $8 %$ respectively.
Let the three parts be $x, y$ and $z$ .
Then, $\frac{x \times 4 \times 1}{100} = \frac{y \times 6 \times 1}{100} = \frac{z \times 8 \times 1}{100}$
$\Rightarrow 0.04 x = 0.06 y = 0.08 z$
$\Rightarrow \frac{x}{y} = \frac{0.06}{0.04} = \frac{3}{2}$ and $\frac{y}{z} = \frac{0.08}{0.06} = \frac{8}{6} = \frac{4}{3}$
$\Rightarrow \frac{x}{y} = \frac{6}{4}$ and $\frac{y}{z} = \frac{4}{3}$
$\Rightarrow x : y : z = 6 : 4 : 3$
$∴$ sum invested at $4 % =$ $\frac{6}{13} \times$ Rs. $2600 =$ Rs. $1200$

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A person invested in all Rs. 2600 at 4%,6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cased. The money invested at 4% is :

The correct option is D Rs 1200A person invested Rs. 2600 at 4%,6% and 8% respectively.Let the three parts be x,y and z. Then, x×4×1100=y×6×1100=z×8×1100⇒0.04x=0.06y=0.08z⇒xy=0.060.04=32 and yz=0.080.06=86=43⇒xy=64 and yz=43⇒x:y:z=6:4:3∴ sum invested at 4%= 613× Rs. 2600= Rs. 1200

A person invested in all Rs. $2600$ at $4 %, 6 %$ and $8 %$ per annum simple interest. At the end of the year, he got the same interest in all the three cased. The money invested at $4 %$ is :