The bankers discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is : Options: A . &nbspRs. 400 B . &nbspRs. 360 C . &nbspRs. 480 D . &nbspRs. 320

The bankers discount on a bill due 4 months hence at 15% is Rs. 420. The true di

Question

The bankers discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is :

Options:

A . Rs. 400

B . Rs. 360

C . Rs. 480

D . Rs. 320

Answer: Option A

T.D. = \(\frac{B.D.\times 100}{100+(R\times T)}\)

= Rs.\(\left[\frac{420\times100}{100+\left(15\times\frac{1}{3}\right)}\right]\)

=Rs. \(\left(\frac{420\times100}{105}\right)\)

= Rs.400.

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