What sum will give ₹ 244 as the difference between simple int

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 Multiple Choice QuestionsMultiple Choice Questions

21.

The compound interest on ₹ 5,000 for 3 years at 10% p.a. will amount to

  • ₹ 1,654

  • ₹ 1,655

  • ₹ 1,600

  • ₹ 1,600

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22.

What sum will give ₹ 244 as the difference between simple interest and compound interest at 10% in 1 1 half space years compounded half yearly?

  • ₹ 40,000

  • ₹ 36,000

  • ₹ 32,000

  • ₹ 32,000


C.

₹ 32,000

Shortcut Method:
As interest is compounded half-yearly. then,
Time (n) = 3 over 2 cross times 2 space equals space 3 space half space years
Rate = 10 over 2 equals space space 5 percent sign space per space half space year
Difference
    equals space straight P open parentheses straight r cubed over 1000000 space plus space fraction numerator 3 straight r squared over denominator 10000 end fraction close parentheses
rightwards double arrow space 244 space equals space straight P open parentheses 125 over 1000000 plus space 75 over 10000 close parentheses
rightwards double arrow space space 244 space equals space straight P open parentheses 7625 over 1000000 close parentheses
rightwards double arrow space space space space straight P space equals space fraction numerator 244 space cross times space 1000000 over denominator 7625 end fraction
rightwards double arrow space space space straight P space equals space 32000

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23.

A sum of ₹ 3,200 invested at 10% p.a. compounded quarterly amounts to ₹ 3,362. Compute the time period.

  • 1 half space year
  • 1 year

  • 2 years

  • 2 years

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24.

If a sum of money compounded annually becomes 1.44 times of itself in 2 years, then the rate of interest per annum is

  • 25%

  • 22%

  • 21%

  • 21%

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25.

If a sum of money placed at compound interest, compounded annually, doubles itself in 5 years, then the same amount of money will be 8 times of itself in

  • 25 years

  • 20 years

  • 15 years

  • 15 years

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26.

A sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?

  • 9

  • 27

  • 6

  • 6

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27.

An amount of money at compound interest grows up to ₹ 3,840 in 4 years and up to ₹ 3,936 in 5 years. Find the rate of interest.

  • 2.5%

  • 2%

  • 3.5%

  • 3.5%

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28.

A sum of money, deposited at some rate per cent per annum of compound interest, doubles itself in 4 years. In how many years will it become 16 times of itself at the same rate?

  • 16

  • 12

  • 10

  • 10

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29.

What is the difference between the compound interest and simple interest on Rs. 4000 at 5% per annum for 2 years?

  • 10

  • 11

  • 20

  • 20

134 Views

30.

The simple and compound interest on a sum of money for 2 year are Rs. 8400 and Rs. 8652 respectively. The rate of interest per annum is

  • 6%

  • 7.5%

  • 9%

  • 9%

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