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A sum of ₹ 1,000 becomes ₹ 1,144.90 in 2 years. At what rate is the interest is compounded annually?
1. 7%
2. 5%
3. 8%
4. 6%

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Correct Answer - Option 1 : 7%

Given:

Principal = ₹ 1,000

Time = 2 years

Amount = ₹ 1,144.90

Formula used:

A = P{1 + (R/100)}n

Where,

A = Amount

R = Rate

n = Time

P = Principal

Calculations:

A = P{1 + (R/100)}n

⇒ 1,144.90 = 1,000 × {1 + (R/100)}2

⇒ 1,14490/1,000,00 = {1 + (R/100)}2

⇒ {1 + (R/100)} = √(11449/10000)

⇒ 1 + R/100 = 107/100

⇒ R/100 = 7/100

⇒ R = 7%

∴ At 7% the interest is compounded annually.

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