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If simple interest on Rs. 600 for 4 years and on Rs. 600 for 2 years combined together is Rs.180, find the rate of interest.

14%
25%
35.5%
46.25%

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let the rate of be R % p .a . \\ T h e n, \\ (\frac{600 \times R \times 4}{100}) + (\frac{600 \times R \times 2}{100}) = 180 \\ \Rightarrow 2400 R + 1200 R = 18000 \\ \Rightarrow 3600 R = 18000 \\ \Rightarrow R = 5 % . \end{aligned}

$\eqalign{ & {\text{Let the rate of be R}}\% {\text{p}}{\text{.a}}{\text{.}} \cr & Then, \cr & \left( {\frac{{600 \times R \times 4}}{{100}}} \right) + \left( {\frac{{600 \times R \times 2}}{{100}}} \right) = 180 \cr & \Rightarrow 2400{\text{R}} + 1200{\text{R}} = 18000 \cr & \Rightarrow 3600{\text{R}} = 18000 \cr & \Rightarrow {\text{R}} = 5\% . \cr}$

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", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Let the rate of be R % p .a . \\ T h e n, \\ (\frac{600 \times R \times 4}{100}) + (\frac{600 \times R \times 2}{100}) = 180 \\ \Rightarrow 2400 R + 1200 R = 18000 \\ \Rightarrow 3600 R = 18000 \\ \Rightarrow R = 5 % . \end{aligned}

$\eqalign{ & {\text{Let the rate of be R}}\% {\text{p}}{\text{.a}}{\text{.}} \cr & Then, \cr & \left( {\frac{{600 \times R \times 4}}{{100}}} \right) + \left( {\frac{{600 \times R \times 2}}{{100}}} \right) = 180 \cr & \Rightarrow 2400{\text{R}} + 1200{\text{R}} = 18000 \cr & \Rightarrow 3600{\text{R}} = 18000 \cr & \Rightarrow {\text{R}} = 5\% . \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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