At what time will the simple interest at the rate of 162/3\% per annum be 5/6^th of the principal? - Mathematics MCQ UPTET 2021 Memory Based Paper 1 2026 | ExamTest.live

mediumMCQUPTET 2021 Memory Based Paper 12026Mathematics

1 mark

At what time will the simple interest at the rate of 16 \frac{2}{3} % per annum be \frac{5}{6}^{th} of the principal?

Solution & Step-by-step Explanation

Let Principal be P .Simple Interest (SI) = \frac{5}{6} P Rate of interest (R) = 16 \frac{2}{3} % = \frac{50}{3} % per annum.The formula for Simple Interest is: SI = \frac{P \times R \times T}{100} \frac{5}{6} P = \frac{P \times \frac{50}{3} \times T}{100} \frac{5}{6} = \frac{50 \times T}{300} \frac{5}{6} = \frac{T}{6} ⟹ T = 5 years

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At what time will the simple interest at the rate of 16 \frac{2}{3} % per annum be \frac{5}{6}^{th} of the principal?

4 years

5 years

6 years

8 years

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