SOLUTION: divide 44,200 between ram and john so that ram's share at the end of 6years may be equal to john's share at the end of 4 years the rate of interest being 10 per cent compounded yea

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Question 618994: divide 44,200 between ram and john so that ram's share at the end of 6years may be equal to john's share at the end of 4 years the rate of interest being 10 per cent compounded yearly
Found 2 solutions by ewatrrr, mananth:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

divide 44,200 between ramhighlight%28x%29 and johnhighlight%2844200-x%29 

so that ram's share at the end of 6years may be equal to john's share at the end of 4 years 

rate of interest being 10 per cent compounded yearly

 x(1.10)^6 = (44200-x)(1.10)^4

 (1.10)^2x = (44200-x)

  1.21x = 44200-x

  2.21x = 44200

      x = $20,000, Ram's principal.  John's is $24,200,

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Ram's share at the end of 6 years = John's share at the end of 4 years

Since the interest rates are same
the interest rates are same = 10 % their investment will be in the ratio of 6:4
ie 3:2
Ram will have to invest more than John
Total 5 parts of 44200
one part = 44200/5 = 8840
One part = 8840, 2 parts = 17680
Balance will be 44200-17680 = 26520
Ram invests 17680 & john invests 26520