If rs 900 amounts to rs 1044 in 4 years, what sum will amount to 1368 in 3 1/2 years at the same rate

Let, the sum of money be 'x'

∴S.I.= (P×R×T)/100

      =(X×4×4)/100

      =16 X/100

      =4 X/25

    ∴  Amount =(X + 4 X /25)    

                      =(25 X+4 X)÷25

                       =29 X/25

By condition,

29 X/ 25 =1044

⇒29 X =1044×25

⇒X =(1044×25)÷29

⇒X= 36×25

⇒X=900

∴The sum of money is Rs.900

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