The difference between the compound Interest on a certain sum of money for 2 years at 10% p.a. and Simple Interest on the same sum for 3 years at 5% p.a is Rs.720. Find the sum.
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Here, in this question, the difference is already given to us and we are required to find the principal amount. And using that principal amount we are required to find the amount compounded after three years. The difference is given for two years. So, the formula will be,
Difference = P(R)²/100²
Now, putting the values into the equation, we will find that,
90 = P(12)²/(100)²
90 x 100²/12² = P
P = Rs. 6250
Now, calculating the compound interest on Rs. 6250 will be,
A = 6250(1 + 12/100)³
A = 6250(112/100)³ => 6250(1.12)³ => Rs. 8780.80
So, the compounded amount after three years will be Rs. 8780.80
Hope it's helpful dear..........
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