The true discount on a bill due 10 months hence at 6% per annum is Rs. 26.25. The amount of the bill is:

Rs. 551.25

NA

Solution:

True discount = ( Amount × Rate × Time ) / 100 + (Rate × Time)

Given:

Time = 10 months = 0.83 years

Rate = 6% per annum

True discount = 26.25

So, 26.25 = ( Amount × 6 × 0.83 ) / 100 + ( 6 × 0.83)

26.25 = ( Amount × 5 ) / 100 + (5)

26.25 = ( Amount × 5 ) / 105

26.25 × 105 = Amount × 5

2756.25 = Amount × 5

Amount = 2756.25/5

Amount = 551.25

So, the correct option is D). 551.25