Question

find the compound interest and amount on 15625 in 1 year at rate 8% per annum when compounded half yearly​

Answer 1

Answer:

Principal = Rs15625

Rate = 8%

Time = 1 year

Compounded Half Yearly

Hence,

Rate = 8/2 = 4% per half yearly

Time = 1×2 = 2 half years

Amount =

$15625 \times( 1 + \frac{4}{100}) ^{2}$

$15625 \times (1 + \frac{1}{25} ) ^{2}$

$15625 \times( \frac{26}{25} ) ^{2}$

$15625 \times \frac{26}{25} \times \frac{26}{25}$

$16900$

Amount = Rs 16900

Compound Interest = Amount - Principal

Compound Interest = Rs16900-Rs 15625

Compound Interest = Rs 1275

Answer 2

Given :-

• Principal = P = Rs.15625
• Time = T = 1(1/2) year = (3/2) years.
• Rate = R = 8% compounded half yearly.

To Find :-

• Compound interest = CI = ?

Solution :-

we know that, when rate is compounded half yearly,

• Rate = Half of given rate .
• Time = Double .

so,

• P = Rs.15625
• T = (3/2) * 2 = 3 years.
• R = 8/2 = 4% compounded yearly .

now, we know that,

• CI = P[{1 + (R/100)}^T - 1]

putting all values we get,

→ CI = 15625[{1 + (4/100)}³ - 1]

→ CI = 15625[{1 + (1/25)}³ - 1]

→ CI = 15625[(26/25)³ - 1]

→ CI = 15625[(17576/15625) - 1]

→ CI = 15625 * {(17576 - 15625)/15625}

→ CI = (15625 * 1951)/15625

→ CI = Rs.1951 (Ans.)

Learn more :-

CI in 2yr is Rs. 1600 and in 3 yrs it will be Rs. 1700. Find the rate of interest.

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