The bankers gain on a certain sum due 1 \(\frac{1}{2}\) years hence is &nbs

Question

The bankers gain on a certain sum due 1 \(\frac{1}{2}\) years hence is \(\frac{3}{25}\) of the bankers discount. The rate percent is:

Options:

A . \(5\frac{1}{5}\) %

B . \(9\frac{1}{11}\) %

C . \(8\frac{1}{8}\)%

D . \(6\frac{1}{6}\) %

Answer: Option B

Let, B.D = Re. 1.

Then, B.G. = Re. \(\frac{3}{25}\)

So, T.D. = (B.D. - B.G.) = Re. \(\left(1-\frac{3}{25}\right) = Re. \frac{22}{25}.\)

Sum \(\left(\frac{1\times \left(\frac{22}{25}\right)}{1-\left(\frac{22}{25}\right)}\right) = Rs.\frac{22}{3}\)

S.I. on Rs. \(\frac{22}{3}\) for \(1\frac{1}{2}\) years is Re.1.

So , Rate = \(\left(\frac{100\times1}{\frac{22}{3}\times\frac{3}{2}}\right)\) % = \(\frac{10c}{11} \) = \(9\frac{9}{11}\) %

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