Question

One man invest $ 400 and after 3 year got return $ 650 as amount . What money Willie get if some money is invested as same rate for 5 years ?​

Answer 1

Answer:

650$

Step-by-step explanation:

• Principal = 400$
• Time = 3 years
• Amount = 650$

Interest = Amount - Principal

→ Interest = 650$ - 400$

→ Interest = 150$

$\boxed{\rm Interest = \dfrac{P \times R \times T}{100}}$

Note : This interest is obtained when time is 3 years.

$\dashrightarrow\rm 150 = \dfrac{400\times R \times 3}{100}$

$\dashrightarrow\rm 150= 4 \times R \times 3$

$\dashrightarrow\rm 150= 12R$

$\dashrightarrow\rm R = \dfrac{150}{12} = \bf\dfrac{25}{2}$

Rate = 25/2%

∴ Money Willie will get on the same money and rate for 5 years

$\boxed{\rm Interest = \dfrac{P \times R \times T}{100}}$

$\dashrightarrow\rm Interest = \dfrac{400\times \frac{25}{2} \times 5}{ 100}$

$\dashrightarrow\rm Interest = \dfrac{400\times 25 \times 5}{ 2 \times 100}$

$\dashrightarrow\rm Interest = \dfrac{4\times 25 \times 5}{ 2}$

$\dashrightarrow\rm Interest = 2\times 25 \times 5$

$\dashrightarrow\rm Interest = 250 $

Note : This interest is obtained when time is 5 years.

Amount = Interest + Principal

→ Amount = 250$ + 400$

→ Amount = 650$

Hence the money is 650$