A man borrows money at 3% per annum interest payable yearly and

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 Multiple Choice QuestionsMultiple 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

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12.

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

221 Views

13.

The compound interest on Rs. 4000 for 4 years at 10% per annum will be

  • Rs. 1856. 40

  • Rs. 1600

  • Rs . 1856

  • Rs . 1856

440 Views

14.

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

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15.

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

  • ₹ space fraction numerator 6 Sr over denominator 100 end fraction
  • ₹ space straight S open parentheses 1 plus straight r over 100 close parentheses cubed
  • ₹ space straight S open parentheses 1 plus straight r over 50 close parentheses cubed
  • ₹ space straight S open parentheses 1 plus straight r over 50 close parentheses cubed
282 Views

16.

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

  • ₹ 2000

  • ₹ 1000

  • ₹ 2500

  • ₹ 2500

368 Views

17.

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

  • ₹ 1250

  • ₹ 1000

  • ₹ 1200

  • ₹ 1200

227 Views

18.

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

  • ₹ 3000

  • ₹ 3600

  • ₹ 3200

  • ₹ 3400

1217 Views

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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 be16000 space rightwards arrow with open parentheses 5 over 2 space equals space 2.5 percent sign space equals space 400 close parentheses on top left parenthesis 16000 plus 400 right parenthesis space equals space 16400 space rightwards arrow with left parenthesis 2.5 percent sign space equals space 410 right parenthesis on top
Total interest  = (400 + 410) = ₹ 810
Difference of interest = ₹ (810 - 480) = ₹ 330


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20.

If the compound interest on a sum for 2 years at 12 1 half space straight p. straight a. is ₹ 510, the simple interest on the same sum at the same rate for the same period of time is

  • ₹ 400

  • ₹ 450

  • ₹ 460

  • ₹ 460

223 Views

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