What is the compound interest of Rs 8000 for 3 years at the rate of 5% per annum?

Find the amount and the compound interest on the following:
Rs.8000 for 3years at 10% per annum compounded annually.

Solution

Rs.8000 for 3years at 10% per annum compounded annually.
Here P = Rs.8000, t = 3years, r = 10%
Now, Amount 
= `"P"(1 + "r"/100)^"t"`

= `8000(1 + 10/100)^3`

= `8000(11/10)^3`

= `8000 xx (1331)/(1000)`
= 10648
Hence, Amount = Rs.10648
Also, C.I.
= A - P
= Rs.10648 - Rs.8000
= Rs.2648.

Concept: Concept of Compound Interest - When the Time is Not an Exact Number of Years and the Interest is Compounded Yearly

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Compound interest Rs 8000 for 3 years at 5% for the first year and 10% for the second year and 15% for the third year will be 

  1. 1313
  2. 4000
  3. 2626
  4. 5000
  5. None of these

Answer (Detailed Solution Below)

Option 3 : 2626

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Solution:

Given: Principal amount (P) = 8000

Interest rate for first year = 5%

Interest rate for second year = 10%

Interest rate for third year = 15%

Formula used: Principal amount [{1 + (Rate of First year/100)} {1 + (Rate of second year/100)} {1 + (Rate of third year/100)}] - Principal

Calculation: Compound interest = 8000 [{1 + (5/100)} {1 + (10/100)} {1 + (15/100)}] - 8000

⇒ 8000 {(21/20) (11/10) (23/20) – 1}

⇒ 8000 {(5313/4000) – 1}

⇒ 8000 {(5313 – 4000)/4000}

⇒ (8000 × 1313)/4000

⇒ 2 × 1313

∴ 2626

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Given:

Principal = Rs. 8000 

Rate = 5%

Time = 3 years.

Formula used:

C.I = P[(1 + R/100)N – 1]

Calculation:

C.I = P[(1 + R/100)N – 1]

⇒ C.I = 8000[(1 + 5/100)3 – 1]

⇒ C.I = 8000 × [(21/20)3  – 1]

⇒ C.I = 8000 × [(9261 – 8000)/8000]

⇒ C.I = (8000 × 1261/8000)

⇒ C.I = Rs. 1261

∴  The compound interest is  Rs. 1261

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It is given that

Principal = ₹ 8000

Rate of interest = 5% p.a.

We know that

Interest for the first year = Prt/100

Substituting the values

= (8000 × 5 × 1)/ 100

= ₹ 400

So the amount for the first year or principal for the second year = 8000 + 400 = ₹ 8400

Here

Interest for the second year = (8400 × 5 × 1)/ 100

So we get

= ₹ 420

We know that

Amount after the second year = 8400 + 420

= ₹ 8820

Total compound interest = 8820 + 8000

= ₹ 820

It is given that

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  • Related Class 8 Content
  • Top Courses for Class 8
  • Download free EduRev App
  • What is the compound interest on a sum of ₹ 8000 for 2 years at 5% per annum compounded annually?
  • What will be the compound interest for the sum of Rs 8000 after 2 years at the rate of 5% pa *?
  • In what time Rupees 8000 will amount to rupees 8820 at 5% per annum compounded annually?
  • What is the compound interest on Rs 8000 /

Principal = ₹ 8000

Rate of interest = 5% p.a.

We know that

Interest for the first year = Prt/100

Substituting the values

= (8000 × 5 × 1)/ 100

= ₹ 400

So the amount for the first year or principal for the second year = 8000 + 400 = ₹ 8400

Here

Interest for the second year = (8400 × 5 × 1)/ 100

So we get

= ₹ 420

We know that

Amount after the second year = 8400 + 420

= ₹ 8820

Total compound interest = 8820 + 8000

= ₹ 820

Principal = Rs. 8000

Time = 2 years

Rate = 5% for 1st year and 10% for 2nd year

\(\begin{array}{l} {\rm{A}} = 8000\left( {1 + \frac{5}{{100}}} \right)\left( {1 + \frac{{10}}{{100}}} \right)\\ \Rightarrow 8000 \times \frac{{21}}{{20}} \times \frac{{11}}{{10}} = {\rm{Rs}}.{\rm{\;}}9240 \end{array}\)

C.I = A – P = 9240 – 8000 = Rs. 1240

∴ Rs. 1240 is the compound interest earned.

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Answers

Related Find CI on a sum of rupees 8000 for 2 years at 5% per annum compounded annually?

  • Reply(1)

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We have P = Rs 8000,   R = 5% p.a.,      T = 2 years

Now,  compound interest = A - P

= Rs 8820 - Rs 8000

=  Rs 820 

  • Reply

Related Find CI on a sum of rupees 8000 for 2 years at 5% per annum compounded annually?

P = 8000
R = 5%
T = 2 years

A = P (1+ R/100)raise to n

A = 8000 ( 1+ 5/100) raise to 2
= 8000 (105 / 100)(105/ 100)
= 882,0

C.I = A - P
= 882,0 - 8000
= 820

Therefore C.I = 820
HOPE IT HELPS YOU...

  • Reply(4)

820 is the correct answer

  • Reply
  • Reply

Related Find CI on a sum of rupees 8000 for 2 years at 5% per annum compounded annually?

P×r×t upon 100 is the formulae of simple interest .solve it

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What is the compound interest on a sum of ₹ 8000 for 2 years at 5% per annum compounded annually?

8820. Compound Interest = Rs. 820.

What will be the compound interest for the sum of Rs 8000 after 2 years at the rate of 5% pa *?

⇒C. I=108[1025]=14. 820. Was this answer helpful?

In what time Rupees 8000 will amount to rupees 8820 at 5% per annum compounded annually?

8820. Hence, it takes 2 years for the amount Rs. 8000 to change to Rs. 8820 when it is compounded at the rate of 5 % annually.

What is the compound interest on Rs 8000 /

Detailed Solution ∴ Rs. 1240 is the compound interest earned.

What would the interest of Rs 8000 at 8% pa after 3 years?

18750 after 3 years, compounded annually, the rates of interest being 8% p.a 10% p.a and 12% p.a during the first year, second year and third year respectively. Q. Calculate the amount, if Rs.

What is the amount for a sum of money to 8000 at 5% rate of interest CI for 2 years?

= Rs 820. Q. Find compound interest on Rs.

What is the compound interest of 80000 for 3 years?

Compound Interest =Rs. 16096.

What will be the compound interest on Rs 8000 at 4% pa for 2 years compounded annually?

Detailed Solution. ∴ Rs. 1240 is the compound interest earned.

What will be the compound interest on 8000 for 3 years?

The correct option is A 18750 after 3 years, compounded annually, the rates of interest being 8% p.a 10% p.a and 12% p.a during the first year, second year and third year respectively.

What is the compound interest on a sum of ₹ 8000 for 2 years at 5% per annum compounded annually?

8820. Compound Interest = Rs. 820.

What is the compound interest on 10000 at 5% for 3 years?

The answer is 1576.25!!

What would the interest of Rs 8000 at 8% pa after 3 years?

And compound interest = Rs. (10648−8000)=2648.