Question

calculate amount and compound interest on 10000 for 1 years at 10% pa compounded half yearly

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Answer 1

Answer:

amount is - ₹ 11000

Step-by-step explanation:

formula is ,

Amount = P (1+(R/100))^n

where ,

P = Principal

R = Rate of interest

n = no of year

Answer 2

Given :

• Principal = Rs 10000
• Time = 1year
• Rate = 10% pa
• Interest is compounded half yearly.

To Find :

• Amount

Formula :

When interest is compounded annually :

• A = P(1 + R/100)^n

When interest is compounded half yearly :

• A= P (1 + R/200)^2 × n

where,

• A = Amount
• P = Principal
• R = Rate
• n = Time

Solution :

• Amount = Principal (1 + Rate/200)^2n
• Amount = 10000 (1 + 10/200)^2(1)
• Amount = 10000 (1 + 10/200)²
• Amount = 10000 (1 + 1/20)²
• Amount = 10000 (21/20)²
• Amount = 10000 × 21/20 × 21/20
• Amount = 100 × 21/2 × 21/2
• Amount = 50 × 21 × 21/2
• Amount = 25 × 21 × 21
• Amount = 25 × 441
• Amount = Rs 11025

Therefore :

• Amount is Rs 11025

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