Question

Anuradha invested a certain sum of money at the compound interest of 8% per annum compounded annually at the end of 2 years I received an amount of rupees 7219 how much amount did Anuradha invest​

Answer 1

Answer:

If you follow this pattern out for Y years, you get the general formula for future value:

1.

FV   =   P (1 + r)Y

That's to compound once per year. More generally, if you want to compound n times per year, you use:

2.

FV   =   P (1  +  r / n)Yn

Example:

Let's say you want to invest $1000 at 5% interest, compounded annually. At the end of ten years, your balance would be

Let's say you want to invest $1000 at 5% interest, compounded annually. At the end of ten years, your balance would beFV   =   $1000 x (1  +  .05)10

Let's say you want to invest $1000 at 5% interest, compounded annually. At the end of ten years, your balance would beFV   =   $1000 x (1  +  .05)10which equals $1628.89.

Let's say you want to invest $1000 at 5% interest, compounded annually. At the end of ten years, your balance would beFV   =   $1000 x (1  +  .05)10which equals $1628.89.If the interest was compounded monthly instead of annually, you'd get

Let's say you want to invest $1000 at 5% interest, compounded annually. At the end of ten years, your balance would beFV   =   $1000 x (1  +  .05)10which equals $1628.89.If the interest was compounded monthly instead of annually, you'd getFV   =   $1000 x (1  +  .05/12)120

Let's say you want to invest $1000 at 5% interest, compounded annually. At the end of ten years, your balance would beFV   =   $1000 x (1  +  .05)10which equals $1628.89.If the interest was compounded monthly instead of annually, you'd getFV   =   $1000 x (1  +  .05/12)120which equals $1647.01.

 

Step-by-step explanation:

FV = 7219 (given)

Let the amount invested by anuradha be x

7219 = x × (1 + 0.08)2

7219 = x × 2.16

x = 7219 ÷ 2.16

Therefore, x = 3,342.12

Therefore anuradha invested Rs 3342.12

Answer 2

Answer:

6189.12 aprox

Given:-

• Principle = ?
• rate of intrest = 8%
• time = 2 year
• amount = 7219

To find :-

• invested amonut of anuradha ( principle)

Solution:-

firstly

as we know the formula

$amount \: =p \times ( {1 + \frac{r}{100} })^{n} \\ \\ 7219 = p \times ( {1 + \frac{8}{100} })^{2} \\ \\ 7219 = p \times ( { \frac{108}{100} })^{2} \\ \\ \frac{7219 \times 100 \times 100}{108 \times 108} = p \\ \\ p = \frac{72190000}{108 \times 108 } \\ \\ p = 6189 .12 \: \: aprox$