The true discount on a bill of Rs. 2550 due a | vedclass

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(B) Given: True Discount $(T.D.)$ $= Rs. 50$,Amount $(A)$ $= Rs. 2550$,Time $(T)$ $= 3$ months $= 1/4$ year.First,calculate the Present Worth $(P.W.)$

Vedclass · Accepted Answer

$51$

Vedclass · Answer

(B) Given: True Discount $(T.D.)$ $= Rs. 50$,Amount $(A)$ $= Rs. 2550$,Time $(T)$ $= 3$ months $= 1/4$ year.First,calculate the Present Worth $(P.W.)$:$P.W. = A - T.D. = 2550 - 50 = Rs. 2500$.Next,calculate the Rate of Interest $(R)$:$T.D. = (P.W. 	imes R 	imes T) / 100$$50 = (2500 	imes R 	imes 1/4) / 100$$50 = 25 	imes R / 4$$R = (50 	imes 4) / 25 = 8\%$ per annum.Now,calculate the Banker's Discount $(B.D.)$:$B.D.$ is the simple interest on the amount $(A)$ for the given time $(T)$.$B.D. = (A 	imes R 	imes T) / 100$$B.D. = (2550 	imes 8 	imes 1/4) / 100 = 2550 	imes 2 / 100 = 5100 / 100 = Rs. 51$.

The true discount on a bill of $Rs. 2550$ due after $3$ months is $Rs. 50$. Find the banker's discount (in $Rs.$).

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