India’s No.1 Educational Platform For UPSC,PSC And All Competitive Exam

Download Our App

A sum becomes its double in 10 years. Find the annual rate of simple interest.

18%
25%
310%
420%

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let S .I . = Rs . x \\ Time = 10 years \\ ∴ Rate = \frac{S .I . \times 100}{Principal \times Time} \\ = \frac{x \times 100}{x \times 10} \\ = 10 % per annum . \end{aligned}

$\eqalign{ & {\text{Let S}}{\text{.I}}{\text{.}} = {\text{Rs}}{\text{. }}x \cr & {\text{Time}} = 10\,{\text{years}} \cr & \therefore {\text{Rate}} = \frac{{{\text{S}}{\text{.I}}{\text{.}} \times {\text{100}}}}{{{\text{Principal}} \times {\text{Time}}}} \cr & = \frac{{x \times 100}}{{x \times 10}} \cr & = 10\% \,{\text{per}}\,{\text{annum}}{\text{.}} \cr}$

Workspace Report

Post your Comments

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

Solution:

\begin{aligned} Let S .I . = Rs . x \\ Time = 10 years \\ ∴ Rate = \frac{S .I . \times 100}{Principal \times Time} \\ = \frac{x \times 100}{x \times 10} \\ = 10 % per annum . \end{aligned}

$\eqalign{ & {\text{Let S}}{\text{.I}}{\text{.}} = {\text{Rs}}{\text{. }}x \cr & {\text{Time}} = 10\,{\text{years}} \cr & \therefore {\text{Rate}} = \frac{{{\text{S}}{\text{.I}}{\text{.}} \times {\text{100}}}}{{{\text{Principal}} \times {\text{Time}}}} \cr & = \frac{{x \times 100}}{{x \times 10}} \cr & = 10\% \,{\text{per}}\,{\text{annum}}{\text{.}} \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

Test

Classes

E-Book