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27 vote

A sum of money becomes Rs. 2000 after 3 years and Rs. 5000 after 6 years on compound interest. The sum is

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A sum of money becomes Rs. 2000 after 3 years and Rs. 5000 after 6 years on compound interest. The sum is


1). 800
2). 850
3). 900
4). 950


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1 answers

37 vote
Answered by on | Votes 37 |

Let the sum be P and rate be r.

⇒ P (1 + r/100)3 = 2000        ------ (1)

⇒ P (1 + r/100)6 = 5000        ------ (2)

Dividing eq(2) by eq(1), we get,

⇒ (1 + r/100)3 = 5/2        ----- (3)

Putting equation (3) in equation (1)

⇒ P × 5/2 = 2000

∴ P = 2000 × 2/5 = Rs. 800

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