Question

What sum of money will amount to Rs 3900 in 4 years at the rate of 7.5 % per annum​

Answer 1

Given:

Principal = Rs. 3900

Rate = 7.5%

Time = 4 years

What to find?

We have to find the amount.

How to find?

To find the amount we will have to find the simple interest using the formula $SI=\frac{PRT}{100}$ and then find the amount using the formula $A=SI+P$.

Solution:

Using the formula,

⇒ $SI=\frac{PRT}{100}$

Substitute the values,

⇒ $SI=\frac{3900*7.5*4}{100}$

Cancel zeros in 3900 and 100

⇒ SI = 39 × 7.5 × 4

Multiply the numbers in RHS,

⇒ SI = Rs. 1170

Now find the amount,

⇒ A = SI + P

Subtitute the values,

⇒ A = Rs. 1170 + Rs. 3900

Add the sum,

⇒ A = Rs. 5070

∴ So, the amount is Rs, 5070.

Answer 2

$\Large\sf\underbrace{Question:}$

What sum of money will amount to Rs 3900 in 4 years at the rate of 7.5 % per annum ?

$\sf\Large{\underline{\underline{Answer:-}}}$

➥ Amount = ₹5070

⠀

$\Large\sf\underbrace{Explaination:-:}$

${\bold\blue{Given,}}$

• Principal (P) = ₹3900

• Rate (R) = 7.5%

• Time (T) = 4 years

${\bold\blue{To \: Find}}$

• Amount?

As, we know:-

─────────────────────────

Amount (A) = Principal (P) + Interest (I)

──────────────────────────

So, let's find Interest first by this using Formula,

$\begin{gathered}\\\;\sf{:\rightarrow\;\;SI\;=\;\bf{\dfrac{P \times R \times T}{100}\:}}\end{gathered}$

By putting values,

$\begin{gathered}\\\;\sf{:\rightarrow\;\;SI\;=\;\bf{\dfrac{3900 \times 7.5 \times 4}{100}\:}}\end{gathered}$

$\begin{gathered}\\\;\sf{:\rightarrow\;\;SI\;=\;\bf{\dfrac{117000}{100}\:}}\end{gathered}$

$\Longrightarrow$ SI = $\sf{\cancel\dfrac{117000}{100}}$ = 1,170

⠀

∴ The SI is ₹1170

$\underline{\sf{\green{Now,}}}$

As now we have SI and Principal,

So, by applying the Formula we get,

${\bold\pink{Amount \; = \; Principal \; + \; Interest}}$

Amount = 3900 + 1170

⠀

✦ Amount = ₹5070