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At what rate of percentage compounded yearly will Rs 80,000 Amount to 88,200 in 2years?Question 16Answera.7b.8c.5d.6

Question

At what rate of percentage compounded yearly will Rs 80,000 amount to 88,200 in 2 years?

Options:

  • a. 7
  • b. 8
  • c. 5
  • d. 6
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Solution

To find the rate of interest compounded yearly, we can use the formula for compound interest which is:

A = P(1 + r/n)^(nt)

Where: A = the amount of money accumulated after n years, including interest. P = principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years

Given in the problem: A = Rs 88,200 P = Rs 80,000 n = 1 (since the interest is compounded yearly) t = 2 years

We need to find r.

Substituting the given values in the formula, we get:

88200 = 80000(1 + r/1)^(1*2)

or

88200/80000 = (1 + r)^2

or

1.1025 = (1 + r)^2

Taking the square root of both sides to remove the square on the right side, we get:

1.05 = 1 + r

Subtracting 1 from both sides, we get:

r = 0.05

To convert this decimal to a percentage, we multiply by 100, so:

r = 0.05 * 100 = 5%

So, the rate of interest compounded yearly is 5%. Therefore, the answer is c. 5.

This problem has been solved

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