If the true discount on Rs. 249 at 5% simple | vedclass

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Question

(C) Given: Amount $(A)$ = $Rs. 249$,True Discount $(T.D.)$ = $Rs. 9$,Rate $(R)$ = $5\%$.Present Worth $(P.W.)$ = Amount $(A)$ - True Discount $(T.D.)$

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(C) Given: Amount $(A)$ = $Rs. 249$,True Discount $(T.D.)$ = $Rs. 9$,Rate $(R)$ = $5\%$.Present Worth $(P.W.)$ = Amount $(A)$ - True Discount $(T.D.)$$P.W. = 249 - 9 = Rs. 240$.We know that $T.D. = \frac{P.W. 	imes R 	imes T}{100}$.Substituting the values: $9 = \frac{240 	imes 5 	imes T}{100}$.$9 = \frac{1200 	imes T}{100} = 12 	imes T$.$T = \frac{9}{12} = \frac{3}{4}$ years.Since $1$ year = $12$ months,$T = \frac{3}{4} 	imes 12 = 9$ months.

If the true discount on $Rs. 249$ at $5\%$ simple interest $(S.I.)$ is $Rs. 9$,when is the sum due? (in months)

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