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MEDIUM PROBLEMS
1.The Bankers discount on Rs 1650 due a certain time hence is Rs 165.
find the true discount and the bankers gain.
Sol :- Sum = (B.D * T.D) / (B.D – T.D)
= (B.D * T.D) / B.G
T.D/B.G = Sum/B.D =650/165 =10/1
Thus if B.G is Rs 1 ,T.D = Rs 10
if B.D is Rs 11 ,T.D = Rs 10
if B.D is Rs 165,T.D = Rs (10/11 * 165) = 150
B.G =Rs(165 – 150) = Rs 15
2.The Present worth of a bill due something hence is Rs 1110 and the
true discount on the bill is Rs.110 . Find the bankes discount & the
bankers gain.
Sol:- T.D = sqrt (P.W * B.G)
B.G = (T.D)^2 /P.W
= (110 * 110) / 1110
= 11
B.D = (T.D + B.G)
= (110 + 11)
= Rs 121
3.What rate percent does a man get for his money when in discounting
Sol:- Let the amount of the bill =100
Money deducted = 10
Money received by the holder of the bill = (100 – 10)
= 90
S.I on Rs 90 for 10 months = 10
Rate = (100 * 10) / (90 * 10/12)
= 13 1/3%
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