Maths-
General
Easy
Question
Ramesh invests Rs12800 for three years at the rate of 10% per annum compound interest. Find (i) The sum due to Ramesh at the end of the 1st year
Hint:
Use the formula of simple interest to get the interest amount and then add it with the principal amount.
The correct answer is: 14080 RUPEES
Complete step by step solution:
Let the principal amount P = 12800 Rupees
Here we have R = 10% , T = 1 year P = 12800, Rs and SI = ?
(for 1st year, both simple interest and compound interest are the same)
We calculate simple interest at the end of 1st year by the formula,
…(i)
where P is Principal amount, T is number of years and R is rate of interest
On substituting the known values in (i), we have ![S I equals fraction numerator 12800 cross times 1 cross times 10 over denominator 100 end fraction](data:image/png;base64,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)
![not stretchy rightwards double arrow S I equals fraction numerator 12800 cross times 10 over denominator 100 end fraction](data:image/png;base64,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)
SI = 1280 Rupees
So interest for first year = Rs 1280
Hence the sum of money at the end of first year = 12800 + 1280 = 14080 Rupees
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