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4%
Step-by-step explanation:
P = 7500, n = 2 years.
Given That difference between C.I and S.I = 12.
⇒ [P(1 + R)² - P] -PnR = 12
⇒ 7500(1 + R)² - 7500 - 7500 * 2R = 12
⇒ 7500[(1 + R)² - 1 - 2R] = 12
⇒ 7500[1 + R² + 2R - 1 - 2R] = 12
⇒ 7500[R²] = 12
⇒ R² = 0.0016
⇒ R = 0.04
Then:
⇒ R/100 = 0.04
⇒ R = 0.04 * 100
⇒ R = 4%
Therefore, Rate of interest = 4%.
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