Question

find compound interest of rs 5000. at 12.5% and 2years​

Answer 1

Answer:10625

Step-by-step explanation:

Answer 2

Given:

• Principal = Rs. 5000
• Time = 2 years
• Rate = 12.5 %

What To Find:

We have to find the compound interest.

Formula:

1. For Amount-

$\bf Amount = Principal \bigg( 1 + \dfrac{Rate}{100} \bigg)^{Time}$

2. For Compound Interest-

$\bf Compound \: Interest = Amount - Principal$

Solution:

• Finding the amount.

Using the formula,

$\rm \Longrightarrow Amount = Principal \bigg( 1 + \dfrac{Rate}{100} \bigg)^{Time}$

Substitute the values,

$\rm \Longrightarrow Amount = 5000 \bigg( 1 + \dfrac{12.5}{100} \bigg)^{2}$

Solve the brackets,

$\rm \Longrightarrow Amount = 5000 \bigg( \dfrac{112.5}{100} \bigg)^{2}$

Remove the brackets,

$\rm \Longrightarrow Amount = 5000 \times \dfrac{112.5}{100} \times \dfrac{112.5}{100}$

Cancel the zeros,

$\rm \Longrightarrow Amount = 5 \times 112.5 \times \dfrac{112.5}{10}$

Multiply 5, 112.5 and 112.5,

$\rm \Longrightarrow Amount = \dfrac{63281.25}{10}$

Divide by 10,

$\rm \Longrightarrow Amount = Rs. \: 6328.125$

• Finding the Compound Interest.

Using the formula,

$\rm \implies Compound \: Interest = Amount - Principal$

Substitute the values,

$\rm \implies Compound \: Interest = Rs. \: 6328.125 - Rs. \: 5000$

Subtract the values,

$\rm \implies Compound \: Interest = Rs. \: 1328.125$

Final Answer:

∴ Thus, the Compound Interest is Rs. 1328.125.