The banker's gain on a certain sum due in 2 t | vedclass

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(A) Given: Banker's Gain $(B.G.)$ $= Rs. 8$,Time $(T)$ $= 2 	ext{ years}$,Rate $(R)$ $= 5 \% 	ext{ per annum}$.We know that Banker's Gain is the int

Vedclass · Accepted Answer

$800$

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(A) Given: Banker's Gain $(B.G.)$ $= Rs. 8$,Time $(T)$ $= 2 	ext{ years}$,Rate $(R)$ $= 5 \% 	ext{ per annum}$.We know that Banker's Gain is the interest on the True Discount $(T.D.)$.$B.G. = \frac{T.D. 	imes R 	imes T}{100}$$8 = \frac{T.D. 	imes 5 	imes 2}{100}$$8 = \frac{T.D. 	imes 10}{100}$$T.D. = \frac{8 	imes 100}{10} = Rs. 80$.Present Worth $(P.W.)$ is the sum whose True Discount is $T.D$.$P.W. = \frac{T.D. 	imes 100}{R 	imes T} = \frac{80 	imes 100}{5 	imes 2} = \frac{8000}{10} = Rs. 800$.

The banker's gain on a certain sum due in $2 \text{ years}$ at $5 \%$ per annum is $Rs. 8$. The present worth is (in $Rs.$)

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