Question

In how many years a sum of Rs.30000
will amount to Rs.45000 at the rate of
10% p.a simple interest.​

Answer 1

Given:

• Principal = Rs. 30000
• Amount = Rs. 45000
• Rate = 10 %

What To Find:

We have to

• Find the time period.

How To Find:

To find it, we have to

• First, find the simple interest by using a certain formula.
• Next, find the time period by using a certain formula.

Formulas Needed:

• For Simple Interest -

$\bf SI = A - P$

• For Time -

$\bf SI = \dfrac{PRT}{100}$

Abbreviations Used:

• SI = Simple Interest
• A = Amount
• P = Principal
• R = Rate
• T = Time

Solution:

• Finding the SI.

Using the formula,

$\sf \implies SI = A - P$

Substitute the values,

$\sf \implies SI = 45000 - 30000$

Subtract the values,

$\sf \implies SI = Rs. \: 15000$

• Finding the T.

Using the formula,

$\sf \implies SI = \dfrac{PRT}{100}$

Substitute the values,

$\sf \implies 15000 = \dfrac{30000 \times 10 \times T}{100}$

Multiply 30000 with 10,

$\sf \implies 15000 = \dfrac{300000 \times T}{100}$

Cancel the zeros,

$\sf \implies 15000 = 3000 \times T$

Take 3000 to LHS,

$\sf \implies \dfrac{15000}{3000} = T$

Cancel the zeros,

$\sf \implies \dfrac{15}{3} = T$

Divide 15 by 3,

$\sf \implies 5 \: years = T$

Final Answer:

∴ Therefore, the time period is 5 years.

Answer 2

Answer:

Answer=5years in detail given in picture