Question

Find the period.
Principal = 5300 rupees
Annual rate of interest = 6.5
Total amount = 6678= rupees

Answer 1

Given:

Principal, P = Rs. 5300

The annual rate of interest, R = 6.5%

Total amount, A = Rs. 6678

To find:

The period

Solution:

We will solve the above-given problem by the following formulas of simple interest:

$\boxed{\boxed{\bold{Simple \:Interest= \frac{PRT}{100} }}}\\\\\boxed{\boxed{\bold{Amount= Principal + Simple\: Interest}}}$

Finding the Simple Interest using the second formula :

A = P + S.I.

$\implies 6678 = 5300 + S.I.$

$\implies S.I. = 6678 - 5300$

$\implies S.I. = Rs.\: 1378$

Finding the time period by using the first formula:

Let "T" represent the time period

$S.I. = \frac{PRT}{100}$

$\implies 1378 = \frac{5300\:\times\: 6.5\:\times \:T}{100}$

$\implies T = \frac{1378\:\times\: 100}{5300\:\times\:6.5}$

$\implies T = \frac{137800}{34450}$

$\implies \bold{T = 4\:years}$

Thus, the period is 4 years.

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Answer 2

Answer:

4 years gas hgdvnhbmlb v