The banker's gain on a certain sum of money d | vedclass

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(A) Given: Banker's Gain $(B.G.)$ $= Rs. 2.25$,Time $(T)$ $= 9$ months $= 9/12 = 3/4$ years,Rate $(R)$ $= 4 \%$ $p.a.$We know that $B.G.$ is the simpl

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$2575$

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(A) Given: Banker's Gain $(B.G.)$ $= Rs. 2.25$,Time $(T)$ $= 9$ months $= 9/12 = 3/4$ years,Rate $(R)$ $= 4 \%$ $p.a.$We know that $B.G.$ is the simple interest on the True Discount $(T.D.)$.$B.G. = \frac{T.D. 	imes R 	imes T}{100}$$2.25 = \frac{T.D. 	imes 4 	imes (3/4)}{100}$$2.25 = \frac{T.D. 	imes 3}{100}$$T.D. = \frac{2.25 	imes 100}{3} = Rs. 75$Banker's Discount $(B.D.)$ $= T.D. + B.G. = 75 + 2.25 = Rs. 77.25$Also,$B.D.$ is the simple interest on the Sum $(S)$ due.$B.D. = \frac{S 	imes R 	imes T}{100}$$77.25 = \frac{S 	imes 4 	imes (3/4)}{100}$$77.25 = \frac{S 	imes 3}{100}$$S = \frac{77.25 	imes 100}{3} = Rs. 2575$Thus,the sum is $Rs. 2575$.

The banker's gain on a certain sum of money due for $9$ months at $4 \%$ $p.a.$ is $Rs. 2.25$. The sum is (in $Rs.$)

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