Question

Calculate the amount and the compound interest on rs 20000 in 2 1/4 years at 10% per annum pls step by step​

Answer 1

Answer:

1. Amount = Rs 24782
2. Compound interest = Rs 4782

Step-by-step explanation:

Given that:

• Principal = Rs 20000
• Time = 2¼ = 2.25 years
• Rate = 10% per annum

To Find:

• The amount and the compound interest.

Formula used:

In compound interest.

• A = P(1 + R/100)ᵀ
• C.I. = A - P

Where,

• A = Amount
• P = Principal
• R = Rate of interest
• T = Time
• C.I. = Compound interest

Finding the amount:

⇒ A = 20000(1 + 10/100)^2.25

⇒ A = 20000(1 + 0.1)^2.25

⇒ A = 20000(1.1)^2.25

⇒ A = 20000 × 1.2391

⇒ A = 24782 (approx.)

∴ Amount = Rs 24782

Finding the compound interest:

⇒ C.I. = 24782 - 20000

⇒ C.I. = 4782

∴ Compound interest = Rs 4782

Answer 2

Question:-

• Calculate the amount and the compound interest on rs 20000 in 2 1/4 years at 10% per annum.

To Find:-

• Find the amount and compound interest.

Solution:-

Given ,

Principal = 20000

Time = 2¼

Rate = 10% per annum

Now ,

We have to find the amount:-

$\sf\dashrightarrow \: Amount = 20000 { \bigg ( 1 + \dfrac { 10 } { 100 } \bigg ) }^{ 2.25 }$

$\sf\dashrightarrow \: Amount = 20000{ ( 1 + 0.1 ) }^{ 2.25 }$

$\sf\dashrightarrow \: Amount = 20000 \times 1.23917756379$

$\sf\dashrightarrow \: Amount = 24783.5$

Now ,

We have to find the compounds interest:-

$\sf\dashrightarrow \: Interest = 24783.5 - 20000$

$\sf\dashrightarrow \: Interest = 4783.5$

Hence ,

• Compound Interest is 4783.5