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
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.
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