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The C.I. on a certain sum of money for the 4th year at 8% p.a. is Rs. 486. What was the compound interest for the third year on the same su…

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The C.I. on a certain sum of money for the 4th year at 8% p.a. is Rs. 486. What was the compound interest for the third year on the same sum at the same rate?
  • ARs. 450
  • BRs. 475
  • CRs. 456
  • DNone of these
Answer not set

Discussion 1

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CCommunity
Let the basic amount for the 4th year be ‘x’

∴ According to the first given condition,

⇒ 486 = x × (1 + 0.08) - x

∴ 0.08x = 486

∴ x = 6075

∴ Amount after 3rd year = 6075

Let the base amount for the 3rd year be ‘y’

∴ 6075 = y × (1 + 0.08)

∴ y = 5625

∴ C.I for the 3rd year = 6075 - 5625 = 450

∴ The Compound Interest for the 3rd year is Rs. 450