If the interest on Rs. 50 at 41/2 be equal to the discount

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If the interest on Rs. 50 at 4¹/₂ be equal to the discount on Rs. 59 for the same time and at the same rate when is the latter sum due ?

1. 2 years
2. 4 years
3. 6 years
4. 3 years

Correct Option: B

∵ 9/2 = [(59 - 50) x 100] / 50 x T
∴ T = 4 years