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Sticky Note
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is?
  1. Rs. 1764
  2. Rs. 1575
  3. Rs. 2268
  4. Rs. 1386
Explanation

True Discount (TD) = Rs. 189

Rate (R) = 16% per annum

Time (T) = 9 months = 3/4 year

Using the formula:

TD = (P x R x T) / 100

where P is the amount of the bill, we can rearrange the formula to solve for P:

P = TD x 100 / (R x T)

= 189 x 100 / (16 x 3/4)

= 189 x 100 / 12

= 1764

So, the amount of the bill is Rs. 1764.

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