What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?
Multiple Choice Questions

11.

The difference between compound interest and simple interest on a certain sum of money for 2 years at 5% per annum is ₹ 41/-. What is the sum of money?

  • ₹ 7200

  • ₹ 9600

  • ₹ 16400

  • ₹ 16400


C.

₹ 16400

Using Shortcut method:
  

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

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12.

When Principal = ₹ S, rate of interest  = 2r % p.a., then a person will get after 3 years at compound interest


C.

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

Principal (P) = Rs. S
Rate (r) = 2r% p.a.

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

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13.

The sum of money which becomes ₹ 2420 at 10% rate of compound interest after two years is

  • ₹ 2000

  • ₹ 1000

  • ₹ 2500

  • ₹ 2500


A.

₹ 2000

Required solution: Use shortcut method:
    

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

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14.

If the compound interest on a sum for 2 years at 

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?
 is ₹ 510, the simple interest on the same sum at the same rate for the same period of time is

  • ₹ 400

  • ₹ 450

  • ₹ 460

  • ₹ 460


D.

₹ 460

Shortcut Method:

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

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15.

On a certain principal, the compound interest compounded annually for the second year at 10% per annum is 

  • ₹ 1250

  • ₹ 1000

  • ₹ 1200

  • ₹ 1200


C.

₹ 1200

Go with option: Let principal be ₹ 1200 and calculate interest.

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

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16.

The compound interest on a certain sum of money for 2 years at 5% is ₹328, then the sum is

  • ₹ 3000

  • ₹ 3600

  • ₹ 3200

  • ₹ 3200


C.

₹ 3200

Shortcut Method:
Go with option (3) and check it.
Principal is Rs3200

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

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17.

A sum of money is invested at 20% compound interest (compounded annually). It would fetch Rs. 723 more if interest is compounded half-yearly. The sum is

  • Rs. 15,000

  • Rs. 30,000

  • Rs. 20,000

  • Rs. 20,000


B.

Rs. 30,000

Shortcut Method: Go with option and check it..
If we suppose or take second option i.e Rs 30,000 as principal, then check it.
If compound interest is annually for 2 years on Rs, 30000 then interest would be:
For first year 20% on 30,000 = Rs 6000
For second year 20% on (30,000 + 6000 = 36000) =  7200
Total interest  = (6000 + 7200) = Rs 13200.

When compound interest is half-yearly, then rate would be half and time would be double the given.
 So, 
For first year 10% on 30,000 =  3000 ...(i)
For second year 10% on (30,000 + 3000 = 33000) = Rs 3300...(ii)
For third year 10% on (33,000 + 3300 = 36300) = Rs 3630 ...(iii)
For fourth year 10% on (36300 + 3630 = 39930) = Rs 3993  ...(iv)
Adding (i), (ii), (iii), (iv)
Interest would be Rs (3000 + 3300 + 3630 + 3993) = Rs 13,923Difference of both the interest is Rs (13, 923 - 13200) = Rs 723

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18.

A sum of ₹ 2,000/- amounts to ₹ 4,000/- in two years at compound interest. In how many years does the same amount become ₹ 8,000/-?

  • 2

  • 4

  • 6

  • 6


B.

4

If ₹ 2000 takes 2 years to become ₹ 4000, then it would take 4 years to become ₹8000/-

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19.

A man borrows money at 3% per annum interest payable yearly and lend it immediately at 5% interest (compound) payable half-yearly and thereby gains ₹ 330 at the end of the year. The sum borrowed is

  • ₹ 17000

  • ₹ 16500

  • ₹ 15000

  • ₹ 15000


D.

₹ 15000

Shortcut Method:
Go with option, say 'option (d)' sum borrowed ₹16000
If principal  = ₹16000
Case I, When given on 3% interest p.a. then interest would be 3% on 16000 = ₹480
Case II, When given on 5% interest (compound) payable half-yearly then interest would be

What is the compound interest on Rs 4000 for 2 years at the rate of 10% per annum?

Total interest  = (400 + 410) = ₹ 810
Difference of interest = ₹ (810 - 480) = ₹ 330

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20.The compound interest on Rs. 4000 for 4 years at 10% per annum will beRs. 1856. 40Rs. 1600Rs . 1856Rs . 1856


A.

Rs. 1856. 40

For First year 10% on Rs 4000 = Rs. 400
For second year 10% on Rs (4000 + 400 = 4400) = Rs. 440
For third year 10% on Rs. (4400 + 440 = 4840) = Rs. 484
For Fourth year 10% on Rs. (4840 + 484 = 5324) = Rs. 532.40
Total Interest = Rs. (400 + 440 + 484 + 532.40) = Rs. 1856.40

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What is the amount on ₹ 4000 at 10% pa for 2 years?

Complete step by step solution: According to our question, P=4000,r=10%,n=2years. On Calculation A we get, A=P(1+r100)n⇒A=4000(1+10100)2⇒A=P(1+ Hence the amount after 2 years will be 4840 and it'll only work as the principal amount for simple interest.

What will be the compound interest on rupees 4000 in 2 years when the rate of interest is 5% per annum?

So, the correct answer is “410 Rs.”.

What is the compound interest on 12000 rs at the rate of 10% for 2 years?

Hence, the compound interest is Rs. 2,520.

What will be the compound interest on a principal of rupees 4000 for 2 years at the rate of interest is 15% per annum?

Detailed Solution ∴ Compound interest is Rs. 410.