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If P = 1,000, R = 5% p.a, n = 4; What is Amount and C.I. isa.1,215.50, 215.50b.1,125, 125c.2,115, 115d.2,215, 215Clear my choice

Question

If P = 1,000, R = 5% p.a, n = 4; What is Amount and C.I. isa.1,215.50, 215.50b.1,125, 125c.2,115, 115d.2,215, 215Clear my choice

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Solution

The question is asking for the amount and compound interest (C.I.) given the principal (P), rate (R), and number of periods (n).

The formula for compound interest is A = P(1 + r/n)^(nt), where:

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

Given P = 1,000, R = 5% p.a (or 0.05 in decimal form), and n = 4, we can substitute these values into the formula:

A = 1000(1 + 0.05/4)^(4*1) A = 1000(1 + 0.0125)^4 A = 1000(1.0125)^4 A = 1000 * 1.051267 A = 1051.27 (approximately)

The compound interest (C.I.) is then calculated by subtracting the initial principal from the total amount:

C.I. = A - P C.I. = 1051.27 - 1000 C.I. = 51.27 (approximately)

So, the closest answer to the calculated amount and C.I. is not listed in the options provided. There might be a mistake in the question or the provided options.

This problem has been solved

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