Question
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
Answer: Option C
$$\eqalign{
& T.D. = {\frac{{B.G. \times 100}}{{Rate \times Time}}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,\left( {\frac{{24 \times 100}}{{10 \times 2}}} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,120 \cr
& \therefore P.W. = \frac{{100 \times T.D.}}{{Rate \times Time}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,\left( {\frac{{100 \times 120}}{{10 \times 2}}} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,600 \cr} $$
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$$\eqalign{
& T.D. = {\frac{{B.G. \times 100}}{{Rate \times Time}}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,\left( {\frac{{24 \times 100}}{{10 \times 2}}} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,120 \cr
& \therefore P.W. = \frac{{100 \times T.D.}}{{Rate \times Time}} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,\left( {\frac{{100 \times 120}}{{10 \times 2}}} \right) \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = Rs.\,600 \cr} $$
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