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The true discount on a bill due 9 months hence at 12% per annum is Rs 540. Find the amount of the bill and its present worth?

1600
7000
6000
6500

Correct Answer: 6000

Explanation:

Let amount be Rs.x then,

[X * R * T] / [100 + (R * T)] = T.D

=> [x * 12 * (3/4)] / [100+(12 * 3/4)] =540

=> x = 6540

Amount = Rs.6540

P.W = Rs.(6540 -540) = Rs.6000

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