divide ₹44200 between RAM & JOHN so that RAM's share at the end of 6 yrs may be equal to
John's share at the end of 4 yrs the rate of interest being 10% compounded yearly
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Ram's Share = x
John's Share = 44200 - x
A = p ( 1 + r/100 )^n
( According to Question Ram Share at end of 6 years = John Share at the end of 4 years )
x( 1 + 10/100)^6 = (44200 - x) ( 1 + 10/100 )^4
x( 1 + 10/100)^6 ÷ ( 1 + 10/100)^4 = ( 44200 - x )
x( 1 + 10/100)^2 = 44200 - x
x ( 110/100)^2 = 44200 - x
121x/100 = 44200 - x
121x/100 + x = 44200
(121x + 100x)/100 = 44200
221x/100 = 44200
x = ( 44200 × 100 )/221
x = 20000
Ram Share = x = 20000
John Share = 44200 - x = 44200 - 20000 = 24200
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John's Share = 44200 - x
A = p ( 1 + r/100 )^n
( According to Question Ram Share at end of 6 years = John Share at the end of 4 years )
x( 1 + 10/100)^6 = (44200 - x) ( 1 + 10/100 )^4
x( 1 + 10/100)^6 ÷ ( 1 + 10/100)^4 = ( 44200 - x )
x( 1 + 10/100)^2 = 44200 - x
x ( 110/100)^2 = 44200 - x
121x/100 = 44200 - x
121x/100 + x = 44200
(121x + 100x)/100 = 44200
221x/100 = 44200
x = ( 44200 × 100 )/221
x = 20000
Ram Share = x = 20000
John Share = 44200 - x = 44200 - 20000 = 24200
Hope it Helps✌️✌️
Mark it as Brainliest
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