Question

6. In how many years will * 6750 amount to * 8000 at 5% S.I.?​

Answer 1

$\Huge{\mathfrak{\green{\underline{\red{Solution}}}}}$

Given:

• Principal = 6750 rupees
• Simple Interest = 8000 rupees
• Rate of interest = 5%

To Find:

• Simple Interest = ?
• Time = ?

Solution:

Let's understand

Here, principal is ₹6750, amount is ₹8000 and rate of interest is 5% and firstly we have to find Simple Interest and after that we have to find time.

We know that,

$\large{\sf{\fbox{red{Simple \: Interest=Amount - Principal}}}}$

Now,put the values on their places and find Simple Interest.

$\sf \implies \: simple \: interest = 8000 - 6750 \\ \\ \sf \implies \: simple \: interest = 1250 \: rupees$

Hence, Simple Interest is 1250 rupees.

Now, after finding the Simple Interest we have to find time.

We know that,

$\large{\sf{\fbox{\green{Time={\frac{S.I × 100}{P × R%}}}}}}$

Now, put the values on their places.

$\sf \implies \: time = \frac{1250 \times 100}{6750 \times 5} = 3 \: years$

Hence,Time is 3 years.