[5%] The bankers discount on a certain sum due 2 years hence is \dfrac{11}{10} of the true discount.The

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The bankers discount on a certain sum due 2 years hence is $\dfrac{11}{10}$ of the true discount.The rate percent is:

11%

10%

5.5%

Explanation:

Let T.D. be Re. 1.

Then, B.D. = Rs.$ \dfrac{11}{10} $= Rs. 1.10.

$\therefore$ Sum = Rs.$ \left(\dfrac{1.10 \times 1}{1.10 - 1} \right) $= Rs.$ \left(\dfrac{110}{10} \right) $= Rs. 11.

$\therefore$ S.I. on Rs. 11 for 2 years is Rs. 1.10

$\therefore$ Rate =$ \left(\dfrac{100 \times 1.10}{11 \times 2} \right) $%= 5%.

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