What is the compound interest on $5000 for 1 year at 8% per annum compounded half yearly?

Q.

Tick the correct answer in each of the following:

At what rate per cent per annum will a sum of Rs 7500 amount to Rs 8427 in 2 years. Compounded annually ?

(a) 4% (b) 5% (c) 6% (d) 8%

Q.

Tick the correct answer in each of the following:

The value of a machine depreciates at the rate of 20% per annum. It was purchased 2 years ago. If its present value is Rs 40000, for how much was it purchased?

(a) Rs 56000 (b) Rs 62500 (c) Rs 65200 (d) 56500

Q.

Tick the correct answer in each of the following:

The compound interest on Rs 6250 at 8% per annum for 1 year, compounded half yearly, is

(a) Rs 500 (b) Rs 510 (c) Rs 550 (d) Rs 512.50

Q.

Tick the correct answer in each of the following:

The compound interest on Rs 4000 at 10% per annum for 2 years 3 months, compounded annually, is

(a) Rs 916 (b) Rs 900 (c) Rs 961 (d) Rs 896

Q.

Tick the correct answer in each of the following:

The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago for Rs 60000. What is the present value of the machine ?

(a) Rs 53640 (b) Rs 51680 (c) Rs 43740 (d) Rs 43470

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Solution

The correct option is B ₹3916.80Principal (P) = ₹48000 Rate (R) =8% p.a. Time (n)= 1 year Interest is compounded half yearly ∴A=P(1+R200)2n =48000(1+8200)2=48000×2625×2625 =76.8×26×26 =₹51916.80 Therefore, compound interest = A-P = ₹(51916.80 - 48000) = ₹3916.80

Find compound interest on Rs. 5000 at 12% p.a. for 1 year, compounded half-yearly.

  1. Rs. 630/-
  2. Rs. 618/-
  3. Rs. 620/-
  4. Rs. 625/-

Answer (Detailed Solution Below)

Option 2 : Rs. 618/-

Free

10 Questions 10 Marks 7 Mins

Given:

The sum = 5000

The rate of interest = 12% per annum

The time = 1 year

Formula used:

\({CI}\ =\ {P\ × [(1\ +\ {R\over 100})^T\ -\ 1]}\)     Where CI = The compound interest, P = The principle, R = The rate, and T = The time

Calculation:

Let us assume the compound interest be X

⇒ For half-yearly rate will half = 12/2 = 6% per half-yearly

⇒ For half yearly time will double = 2 years

⇒ The compound interest = \({CI}\ =\ {5000\ × [(1\ +\ {6\over 100})^2\ -\ 1]}\)

⇒ \({CI}\ =\ {5000\ × [(1.06)^2\ -\ 1]}\)

⇒ \({CI}\ =\ {5000\ × [1.1236\ -\ 1]}\)

⇒ The compound interest = 5000 × 0.1236 = 618

∴ The required result will be 618.

Alternate MethodEquivalent rate for 2 years = 6 + 6 + (6 × 6)/100

⇒ 12.36%

CI = 12.36% of 5000

⇒ (5000 × 12.36)/100

⇒ 618

∴ The required result will be 618.

Last updated on Sep 21, 2022

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What is the interest on Rs 5000 at 8% for 1 year?

Complete step-by-step answer: Therefore, the compound interest is Rs. 624.32 on Rs. 5000 if it is compounded half yearly for 1 year 6 months at 8 % per annum.

How do you calculate compound interest in one and a half years?

The formula for calculation of compound interest for half year is CI = p(1 + {r/2}/100)2t. - p. Here in this formula 'A' is the final amount, 'p' is the principal, and 't' is the time in years.

What is the difference between the interests on 50000 for one year at 8% per annum compounded half yearly and yearly?

The difference between the compound interest and the simple interest compounded half yearly on an amount of Rs. 50000 for 1 year is Rs. 180.

What is the compound interest on Rs 5000 for 1 & 1 2 years at 4% per annum compounded yearly?

5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly? = Rs. 5304.