Question

In how many years will a sum of ₹ 4000 invested at the rate of 8 % p. a. simple interest amount to ₹ 4800?

Answer 1

${\huge{\boxed{\mathrm{\green{A}{\orange{n}{\blue{s}{\red{w}{\purple{e}{\pink{r}{\green{:}}}}}}}}}}}$

In 15 years a sum of ₹4,000 invested at the rate of 8% p.a. simple interest amount to ₹4,800.

Step-by-step explanation:

Given :-

• Principal = ₹4,000
• Rate % = 8% p.a.
• Amount = ₹4,800

To Find :-

• Time in which given Principal will became given Amount

Formula Used :-

Interest = Principal - Amount

Simple Interest = ${\blue{\boxed{\mathsf{\dfrac{P \times R \times T}{100}}}}}$

Where,

• P = Principal i.e. ₹4,000
• R = Rate % i.e. 8%
• Time = (To Find)

After Transposing,

Time = ${\pink{\boxed{\mathsf{\dfrac{Simple \ Interest \times 100}{Principal \times Rate}}}}}$

Solution :-

After putting the values in given formula of Interest,

Interest = ₹4,000 - ₹4,800 = ₹800

• ${\purple{\boxed{\mathsf{Simple \ Interest = Rs. \ 800}}}}$

After putting the values in given formula of Time,

Time = ${\green{\boxed{\mathsf{(\dfrac{Rs. \ 4,800 \times 100}{Rs. \ 4,000 \times 8}) \ years}}}}$

$\Longrightarrow {\mathsf{(\dfrac{48 \times 100}{40 \times 8}) \ years}}\\\\\Longrightarrow {\mathsf{(\dfrac{4800}{320}) \ years}}\\\\\Longrightarrow {\mathsf{15 \ years}}\\\\\\{\orange{\boxed{\underline{\mathsf{\large{Time = 15 \ years}}}}}}$

Hence,

• In 15 years a sum of ₹4,000 invested at the rate of 8% p.a. simple interest amount to ₹4,800.

Answer 2

Step-by-step explanation:

#Hope you have satisfied with this answer.