If the true discount for a sum of ₹ 50000 for a period

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If the true discount for a sum of ₹ 50000 for a period of 4 yr at a certain rate of interest per annum is ₹ 2000, find the rate of interest.

1. 1%
2. 1.5%
3. 2%
4. 5%
5. None of the above

Correct Option: A

Given that, PW =₹ 50000,
TD =₹ 2000, T = 4 yr and R = ?
According to the formula, (1)
TD = (PW x R x T) / 100
⇒ 2000 = (50000 x R x 4) / 100
∴ R = (2000 x 100) / (50000 x 4) = 20/20 = 1%