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General Questions Question 13 – answer, explanation & discussion

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Question 13 Back to Exercise
The difference between compound interest and simple interest on an amount of ₹ 15,000 for 2 years is ₹ 96. What is the rate of interest per annum.

  • A 8 Correct
  • B 10
  • C 12
  • D Cannot be determined
  • E None of these
Correct Answer: Option A

[ 15000 x ( 1 + R ) 2 - 15000 ] - ( 15000 x R x 2 )
100 100

= 96

⇒ 15000 [ ( 1 + R ) 2 - 1 - 2R ] = 96
100 100

⇒ 15000 [ (100 + R)2 - 10000 - (200 x R) ] = 96
10000

⇒ R2 = ( 96 x 2 ) = 64
3

⇒ R = 8.

∴ Rate = 8%.

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