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The present worth of a bill due something hence is Rs. 1200 and the true discount on the bill is Rs. 120. Find the banker’s discount and the banker’s gain ?

Rs.132
Rs.123
Rs.182
Rs.128
Explanation:

Given that, True discount = 120
Present worth = 1200
Now,
True discount = $\sqrt {P.W.∗B.G}$
⇒ B.G. = $\dfrac{(T.d)^{2}}{P.W.}$
⇒ B.G. = $\dfrac{120 \times 120}{1200}$
⇒ B.G. = Rs. 12
Therefore, B.D. = (T.D. + B.G.) = Rs. (120 + 12) =Rs. Rs. 132

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