self Maths Puzzle

The banker's discount on Rs. 1600 at 15% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is:

A. 3 months B. 4 months
C. 6 months D. 8 months

Read Solution (Total 1)

S.I. on Rs. 1600 = T.D. on Rs. 1680.

Rs. 1600 is the P.W. of Rs. 1680, i.e., Rs. 80 is on Rs. 1600 at 15%.

Time = (100*80)/(1600*15) year = 1/3 year = 4 months

Option B)
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self Other Question

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

A. Rs. 400 B. Rs. 360
C. Rs. 480 D. Rs. 320
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:

A. Rs. 480 B. Rs. 520
C. Rs. 600 D. Rs. 960