Question

In how many years will 4800 amount to 7176 at 9%per annum. Lesson.simple interest.

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The time in which Rs. 4800 will Amount to Rs. 7176 at the rate 9% is 5.5 years.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Money = Rs. 4800

Amounts to = Rs. 7176

Rate % = 9%

To Find :

Time in Rs. 4800 will Amount to Rs. 7176

Solution :

Here,

Principal = Rs. 4800

Amount = Rs. 7176

Rate = 9%

Simple Interest =

★ $\boxed{\sf{Amount = Principal + Simple \: Interest}}$

$\sf{\implies} \: 7176 = 4800 - SI$

$\sf{\implies} \: SI = 7176 - 4800$

$\sf{\implies} \: SI = 2376$

Simple Interest = Rs. 2376

$\rule{300}{1.5}$

Consider time as T

★ $\boxed{\sf{SI = \frac{Principal \times Rate \times Time}{100}}}$

$\sf{\implies} \:2376 = \dfrac{4800 \times 9 \times \: T}{100}$

$\sf{\implies} \:2376 = \dfrac{43200 \times \: T}{100}$

$\sf{\implies} \:2376 \times 100 = 43200 \times \: T$

$\sf{\implies} \:237600 = 43200 \times \: T$

$\sf{\implies} \: T = \dfrac{237600}{43200}$

$\sf{\implies} \: T = 5.5$

Time = 5.5 years

$\therefore$ The time in which Rs. 4800 will Amount to Rs. 7176 at the rate 9% is 5.5 years.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\implies} \:2376 = \dfrac{4800 \times 9 \times \: 5.5}{100}$

$\sf{\implies} \:2376 = \dfrac{2376\cancel{00}}{1\cancel{00}}$

$\sf{\implies} \:2376 = 2376$

$\therefore$ The time in which Rs. 4800 will Amount to Rs. 7176 at the rate 9% is 5.5 years.

Answer 2

Solution :-

Principal = Rs. 4800

Amount = Rs. 7176

Rate = 9 %

Time = ?

As we know that,

Amount = Principal + S. I.

Rs. 7176 = Rs. 4800 + S. I.

S. I. = Rs. 7176 - Rs. 4800

S. I. = Rs. 2376

According To The Question,

S. I. = P × R × T / 100

→ 2376 = 4800 × 9 × T / 100

→ 2376 = 48 × 9 × T

→ 2376 / 432 = T

→ 5.5 Year = T

Time = 5.5 Years

_______________________________

Verification :-

S. I. = P × R × T / 100

→ 2376 = 4800 × 9 × 5.5 / 100

→ 2376 = 48 × 9 × 5.5

→ 2376 = 2376

L.H.S. = R.H.S.

Hope it Helps !!!!