Question

Gulshan Kumar borrows 300 at 5% and 450 at 6% at the same timeand on the condition that whole loan will be repaid when theintrest amount to 126. The loan will have to be repaid after how many years.​

Answer 1

Given:

Gulshan Kumar borrows 300 at 5% and 450 at 6% at the same time and on the condition, that whole loan will be repaid when the interest amount to 126

To find:

After how many years, the loan will have to be repaid?

Solution:

We know,

$\boxed{\bold{Simple \:Interest = \frac{P\times R \times T}{100} }}$

Let "T" represents the no. of years the loan have to be repaid.

From the first loan, the simple interest will be

$S.I._1 = \frac{300 \times 5 \times T}{100}$ ...... (i)

From the second loan, the simple interest will be

$S.I. _ 2 = \frac{450 \times 6 \times T}{100}$ ..... (ii)

Now, according to the question, we get

$S.I._1 + S.I._2 = 126$

on substituting from (i) & (ii), we get

$\implies \frac{300 \times 5 \times T}{100} + \frac{450 \times 6 \times T}{100} = 126$

$\implies 15T + 27T = 126$

$\implies 42T = 126$

$\implies T = \frac{126}{42}$

$\implies \bold{T = 3\:years }$

Thus, the loan will have to be repaid after 3 years.​

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