Question

divide rs 7800 into three parts so that the yearly interest on the first part at 4 % on the second part at 6% on the third part at 8% may be the same​

Answer 1

$\begin{lgathered}\bold{Given} \begin{cases}\sf{ Principal \: (P)=Rs.7800} \\ \sf{Rate\: (R_1)=4\%}\\ \sf{Rate\: (R_2)=6\%}\\ \sf{Rate\: (R_3)=8\%} \: \\ time \: = 1yr\end{cases}\end{lgathered}$

$\Large\underline\mathfrak{Question}$

• we have To find all three parts so their interest is same ... ?

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$\Large\bold\star\underline{\underline\textbf{Concept\:used}}$

$\red{\textbf{when interest is same}}</p><p> \\ \\ </p><p> \boxed{ \green{ \frac{1}{ R_1T} :\frac{1}{ R_2T} :\frac{1}{ R_3T} }}$

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$\Large\underline{\underline{\sf{Solution}:}}$

Putting all values we get,,,

$\red\longrightarrow \: \frac{1}{4 \times 1} : \: \frac{1}{6 \times 1} : \frac{1}{8 \times 1} \\ \\ \red\longrightarrow \: \frac{1}{4} : \: \frac{1}{6} : \frac{1}{8 } \: \\ \\ \red\longrightarrow \: \blue{taking \: lcm \: we \: get} \\ \\ \red\longrightarrow \: \frac{6:4:3}{24} \\ \\ \red\longrightarrow \: \pink{\large\boxed{\boxed{\bold{6:4:3}}}} \:$

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$\red{\textbf{Breaking Given Principal}} \\ </p><p>\orange{\textbf{in ratio 6:4:3 we get : - - }} \:$

$First Part = 7800 \times \frac{6}{13} = \: \green{\large\boxed{\bold{3600}}} \: \\ \\ Second Part = 7800 \times \frac{4}{13} = \: \red{\large\boxed{\bold{2400}}}</p><p></p><p> \\ \\ </p><p>Third Part = 7800 \times \frac{3}{13} = \: \blue{\large\boxed{\bold{1800}}}$

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Hence , the required Three parts will be Rs.3600, Rs.2400 and Rs.1800 .....

$\large\underline\textbf{Hope it Helps You.}$

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