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neonofarm [45]
3 years ago
5

a person deposits rs 55000 in bank p for 2 years at the rate of 10% per annum compounded annually .but after one year , bank has

changed the policy and decided to pay semi annual compounded interest at the same rate .what is the percentage difference between the compound interests of the first year and second year​
Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

The interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.

Step-by-step explanation:

Given that a person deposits Rs 55000 in Bank P for 2 years at the rate of 10% per annum compounded annually, but after one year, bank has changed the policy and decided to pay semi annual compounded interest at the same rate, to determine what is the percentage difference between the compound interests of the first year and second year, the following calculation must be performed:

Year 1 =

55,000 x (1 + 0.1 / 1) ^ 1x1 = X

55,000 x 1.1 = X

60,500

Year 2 =

60,500 x (1 + 0.1 / 2) ^ 1x2 = X

60,500 x 1.05 ^ 2 = X

66,701.25 = X

55,000 = 100

60,500 = X

60,500 x 100 / 55,000 = X

110 = X

60,500 = 100

66,701.25 = X

66,701.25 x 100 / 60,500 = X

110.25 = X

Therefore, the interest generated the first year will be 10% of the principal value, while the second year said interest will be 10.25%.

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