What sum will produce Rs. $360$ as simple interest in $3$ years at $6\%$ per annum?

What sum will produce Rs. $360$ as simple interest in $3$ years at $6\%$ per annum?
  1. Rs. $1{,}500$
  2. Rs. $1{,}800$
  3. Rs. $2{,}000$
  4. Rs. $2{,}400$

Solution

$P = \dfrac{100 \cdot \text{SI}}{R \cdot T} = \dfrac{100 \cdot 360}{6 \cdot 3} = \dfrac{36000}{18} = 2000$.

Asked in: IMO

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