At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

Multiple Choice Questions

21.

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


A.

16

x   - 2x  - 4 yrs
2x - 4x -  8 years
4x - 8x - 12 years
8x - 16- 16 years 

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22.

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


C.

15 years

Money 'x' becomes '2x' in 5 years
Money '2x' becomes '4x' in 10 years
Money  '4x' becomes '8x'  in 15 years.
Hence, 'x' becomes '8x' in 15 years.

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23.

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

  • ₹ 1,654

  • ₹ 1,655

  • ₹ 1,600

  • ₹ 1,600


B.

₹ 1,655

Compound interest for 3 years is given by:

At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

⟹ (500 + 550 + 605) = ₹ 1655

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24.

What sum will give ₹ 244 as the difference between simple interest and compound interest at 10% in 

At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 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) = 

At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

Rate = 
At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

Difference
    
At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

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25.

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%


D.

21%

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26.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 is6%7.5%9%9%


A.

6%

Difference  = (8652 - 8400) = Rs 252

At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

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27.

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


C.

6

'X' becomes '3X'  in 3 years,
∴  '3X' becomes ' 9X' in (3 + 3) = 6 years.

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28.

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%


A.

2.5%

Required rate of interest:

At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

404 Views


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


A.

10

Difference
   

At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

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30.

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

  • At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years
  • 1 year

  • 2 years

  • 2 years


A.

At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

At what rate percent will a sum of ₹ 8400 yield ₹ 861 as compound interest in 2 years

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At what rate percent will a sum of ₨ 4000 yield ₨ 1324 as compound interest in 3 years?

Thus, the rate of interest is 10%.

At what rate percent will a sum of ₹ 4000 yield compound interest of ₹ 410 in 2 years?

∴ Rate =5% p.a.

At what rate will a sum of ₹ 50000 yield compound interest of ₹ 5582.25 in 2 years?

A sum of 50000 will yield a compound interest of 5582.25 in two years at a rate of 5.434% per annum.

At what rate of compound interest will Rs 1200 become Rs 1348.32 in 2 years?

134832=1200(1+R100)2(1+R100)2=1348.301200(1+R100)2=1123610000(1+R100)=106100R=6% Q.