Question

Find the amount to be paid by Sanika at the end of 3 years , if the principal amount is Rs. 12,000 at 10% p.a. ​

Answer 1

Answer:

1. Amount to be paid by Sanika if there is simple interest = Rs 15600
2. Amount to be paid by Sanika if there is compound interest = Rs 15972

Step-by-step explanation:

Given that:

• Time = 3 years
• Principal = Rs 12000
• Rate of interest = 10% per annum

To Find:

1. Amount to be paid by Sanika if there is simple interest.
2. Amount to be paid by Sanika if there is compound interest.

Formula used:

Amount in simple interest.

• A = P + (P × R × T)/100

Amount in compound interest.

• A = P(1 + R/100)ᵀ

Where,

• P = Principal
• R = Rate of interest
• T = Time
• A = amount

Finding amount if there is simple interest:

⟶ A = 12000 + (12000 × 10 × 3)/100

⟶ A = 12000 + 3600

⟶ A = 15600

∴ Amount in simple interest = Rs 15600

Finding amount if there is compound interest:

⟶ A = 12000(1 + 10/100)³

⟶ A = 12000(1 + 0.1)³

⟶ A = 12000(1.1)³

⟶ A = 12000 × 1.1 × 1.1 × 1.1

⟶ A = 15972

∴ Amount in compound interest = Rs 15972

Answer 2

Question:-

• Find the amount to be paid by Sanika at the end of 3 years , if the principal amount is Rs. 12,000 at 10% p.a. 

To Find:-

• Find the amount to be paid by Danika of there is simple interest.

Solution:-

Formula to be Used:-

• $\tt A = P + \dfrac { P \times T \times R } { 100 }$

Find the amount of there is simple interest:-

$\tt\implies \: A = 12000 + \dfrac { 12000 \times 10 \times 3 } { 100 }$

$\tt\implies \: A = 12000 + 3600$

$\tt\implies \: A = 15600$

Find the amount of there is simple interest:-

$\tt\implies \: A = 12000 {( \dfrac { 1 + 10 } { 100 } )}^{ 3 }$

$\tt\implies \: A = 12000{ ( 1.1 ) }^{ 3 }$

$\tt\implies \: A = 15927$

Hence ,

• Amount is 15927