A principal amount of ₹1200 grows to ₹1440 in 2 years. Calculate the rate of interest.

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Agniveer Navy MR: 22 May 2025 Shift 2 Memory-Based Paper
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  1. 10%
  2. 12%
  3. 15%
  4. 8%

Answer (Detailed Solution Below)

Option 1 : 10%
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Agniveer Army GD 22 April 2024 (Shift 1) Memory-Based Paper
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Detailed Solution

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Given:

Principal (P) = ₹1200

Amount (A) = ₹1440

Time (t) = 2 years

Formula Used:

Simple Interest (SI) = A - P

SI = \(\dfrac{P \times r \times t}{100}\)

Where, r = rate of interest

Calculations:

SI = \(\dfrac{P \times r \times t}{100}\):

240 = \(\dfrac{1200 \times r \times 2}{100}\)

⇒ 240 = 12 × r × 2

⇒ 240 = 24 × r

⇒ r = \(\dfrac{240}{24}\)

⇒ r = 10%

∴ The rate of interest is 10% per annum.

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