Question

In how many years will 2700 amount 3186 at 9% p.a. simple interest?..​

Answer 1

Answer :-

Given -

• Amount = Rs. 3186
• Principal = Rs. 2700
• Rate of interest = 9% p.a.

To Find -

• Time

Solution :-

→ Simple interest = Amount - Principal

→ SI = 3186 - 2700

→ SI = 486

Simple interest = Rs. 486

Now we have,

• SI = Rs. 486
• P = Rs. 2700
• R = 9% p.a.

Substituting the value in formula :-

→ SI = P × R × T / 100

→ 486 = 2700 × 9 × T / 100

→ 486 = 27 × 9 × T

→ T = 486 / 243

→ T = 2

Time = 2 years

Answer 2

Given :-

$~~~~~~~$

• Amount = Rs. 3186
• Principal = Rs. 2700
• Rate of interest = 9% p.a.

$~~~~~~$

To find :-

$~~~~~~$

• Time

$~~~~~~$

Solution :-

$~~~~~~$

$\rightarrow$ Simple Interest = Amount - Principal

$\rightarrow$ SI = 3186 - 2700

$\rightarrow$ SI = 486

$~~~~~~$

★ Simple Interest = Rs. 486

$~~~~~~$

$~~~~~~~~~~~~~~~~~~$ ________________

$~~~~~~~~~~~~~~~~~~$ ★ Now we have,

$~~~~~~~~~~~~~~~~~~$ ________________

$~~~~~~$

• SI = Rs. 486
• P = Rs. 2700
• R = 9% p.a.

$~~~~~~$

Substituting the value of formula :

$~~~~~~$

$\implies$ $\large{\sf{Sl = \frac{P \times R \times T}{100}}}$

$~~~~~~$

$~~~~~$ $\implies$ $\large{\sf{486 = \frac{2700 \times 9 \times T}{100}}}$

$~~~~~~$

$~~~~~~~~~~~$ $\implies$ $\large{\sf{486 = 27 × 9 × T}}$

$~~~~~~$

$~~~~~~~~~~~~~~~~$$\implies$ $\large{\sf{T = \frac{486}{243}}}$

$~~~~~~$

$~~~~~~~~~~~~~~~~~~~~~$ $\implies$ ${\underline{\boxed{\purple{\sf{T = 2~years}}}}}$$\large{\bf\red{★}}$

$~~~~~~$

Hence,

$~~~~~~$

• Time = 2 years $\large{\bf\green{✓}}$