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On a certain sum the simple interest for $12 \frac{1}{2}$ $12\frac{1}{2}$ year is $\frac{3}{4}$ $\frac{3}{4}$ of the sum. Then the rate of interest is = ?

15% per year
26% per year
37% per year
48% per year

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let sum  = x \\ Interest  = \frac{3}{4} x \\ Interest  = \frac{PTR}{100} \\ \Rightarrow \frac{3}{4} x = \frac{x \times R \times 12.5}{100} \\ R =  6 % \end{aligned}

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year is

\frac{3}{4}

$\frac{3}{4}$ of the sum. Then the rate of interest is = ?", "text": "On a certain sum the simple interest for

12 \frac{1}{2}

$12\frac{1}{2}$ year is

\frac{3}{4}

$\frac{3}{4}$ of the sum. Then the rate of interest is = ?", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} Let sum  = x \\ Interest  = \frac{3}{4} x \\ Interest  = \frac{PTR}{100} \\ \Rightarrow \frac{3}{4} x = \frac{x \times R \times 12.5}{100} \\ R =  6 % \end{aligned}

$\eqalign{ & {\text{Let sum = }}x \cr & {\text{Interest = }}\frac{3}{4}x{\text{ }} \cr & {\text{Interest = }}\frac{{{\text{PTR }}}}{{100}} \cr & \Rightarrow \frac{3}{4}x = \frac{{x \times {\text{R}} \times 12.5}}{{100}} \cr & {\text{R = 6}}\% \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution: