Test Index

NCHMCT JEE 2023 Solved Paper

© examsnet.com

Question : 13 of 200

Marks: +1, -0

The simple interest on a sum of money is

\frac{4}{9}

of the principal. If rate percent and time are numerically equal then find the rate percent

$5 \frac{2}{3} \%$
$9 \frac{2}{3} \%$
$8 \frac{2}{3} \%$
$6 \frac{2}{3} \%$

Solution:

Concept:

Use the simple interest formula and the condition that rate and time are numerically equal.

Explanation:

Let principal be

P

, rate be

R\%

per annum, and time be

T

years.

Given

SI = \frac{4}{9}P

and

R = T

numerically.

Using

SI = \frac{P \times R \times T}{100}

:

\frac{4}{9}P = \frac{P \times R \times R}{100}

Cancelling

P

from both sides:

\frac{4}{9} = \frac{R^2}{100}

R^2 = \frac{400}{9}

R = \frac{20}{3} = 6\frac{2}{3}\%

Answer:

D. \ 6 \frac{2}{3}\%

© examsnet.com

Go to Question:

Prev Question

Next Question