umesh borrowed some amount from a bank at 16% per year , simple interest and lent the total amount to binay on the same day at 24 % per year. thus,after 6years he gained rs 840. find the sum.
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Answer:
Let the principal be 'P'.
Case (i)
Rate of interest = 16 %
Time = 6 years
Amount at the end of 6 years at simple interest = P (1 + TR/100)
= P(1 + 16×6/100)
= 96/100 P
Case (ii)
Rate of interest = 24 %
Time = 6 years
Amount at the end of 6 years at simple interest = P (1 + TR/100)
= P(1 + 24×6/100)
= 144/100 P
Difference between the amounts = Rs 840
144/100 P - 96/100 P = 840
48/100 P = 840
P = 840 × 100/48
P = 1750
Therefore, the sum of money is Rs 1750.
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