A certain sum amounts to INR 9799 in 3 year and to INR 12464 in 8 years at a certain rate percent per annum, at simple interest what will be the amount (In rupees) of the same sum in 5 years at double the earlier rate, at simple interest?
Answers
Answer:
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Given:
The final amount in 3 years = INR 9799
The final amount in 8 years = INR 12464
To Find:
The final amount in 5 years at double the earlier rate, at simple interest
Solution:
Since the final amount in 3 years = INR 9799
and the final amount in 8 years = INR 12464
Thus the interest in 5 years = 12464 - 9799 = INR 2665
Now P = 9799, I = 2665 and T = 5
Substituting the above values in the formula for simple interest.
Rate % = I X 100 / P X T
or Rate % = 266500 / 9799 X 5
= 5.44%
Initial principle amount P = (9799 - P) X 100 / 5.44 X 3
= 8426.34
Interest in 5 years at double the rate = 5.44 X 2 X 8426.34 X 5 / 100
= 4575.50
Final amount in 5 years = 8426.34 + 4575.50
= 13000 (approx)
Hence, the final amount after 5 years will be INR 13000