Question

at what rate of compound interest rs 10000 will be amounted rs 12100 in 2 years.​

Answer 1

Answer:

• At 10% p.a. of compound interest Rs 10000 will be amounted Rs 12100 in 2 years.

Step-by-step explanation:

To Find:

• Rate of compound interest.

Formula used:

• A = P(1 + R/100)ᵀ

Where,

• A = Amount = Rs 12100
• P = Principal = Rs 10000
• R = Rate of interest
• T = Time = 2 years

Finding the rate of compound interest:

⇢ 12100 = 10000(1 + R/100)²

⇢ 12100/10000 = (1 + R/100)²

⇢ 1.21 = (1 + R/100)²

⇢ (1.1)² = (1 + R/100)²

⇢ (1 + 0.1)² = (1 + R/100)²

⇢ (1 + 10/100)² = (1 + R/100)²

Cancelling power both sides.

⇢ (1 + 10/100) = (1 + R/100)

Cancelling 1 both sides.

⇢ 10/100 = R/100

Cancelling 100 both sides.

⇢ 10 = R

⇢ R = 10

Hence,

• Rate of compound interest = 10% p.a.

Answer 2

✯ Question Given :

• ➣ At what rate of compound interest rs 10000 will be amounted rs 12100 in 2 years ?

✯ Required Solution :

★ Value Given to us :

• ➷ Principal Given = ₹ 10000

• ➷ Amount Given = ₹ 12100

• ➷ Time Taken = 2 years

★ Formula Used Here :

• ➲ A = P ( 1 + R / 100 )T

★ Putting Value in Formula :

• ➝ 12100 = 10000 ( 1 + R / 100 )²

• ➝ 12100 / 10000 = ( 1 + R / 100 )²

• ➝ 1.21 = ( 1 + R / 100 )²

✪ [ 1.21 can also be written as (1.1)² ]

• ➝ (1.1)² = ( 1 + R / 100 )²

✪ [ 1.1 can also be written as 1 + 0.1 ]

• ➝ ( 1 + 0.1 )² = ( 1 + R / 100 )²

★ Cancelling Power on both sides :

• ➝ ( 1 + 10 / 100 ) = ( 1 + R / 100 )

★ According to Question :

• ➝ 10 / 100 = ( R / 100 )

• ➝ R = 10 %

✯ Therefore :

• ➣ The rate of compound interest is 10 % per annum

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• Learn More :

➲ A = P ( 1 + R / 100 )T

• ⟼ A = Amount

• ⟼ P = Principal

• ⟼ R = Rate of Interest

• ⟼ T = Time

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