Find the present worth (P.W.) and the true di | vedclass

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(A) Given: Amount $(A) = Rs. 176$,Rate $(R) = 6 \% 	ext{ per annum}$,Time $(T) = 20 	ext{ months} = \frac{20}{12} 	ext{ years} = \frac{5}{3} 	ext{

Vedclass · Accepted Answer

$160, 16$

Vedclass · Answer

(A) Given: Amount $(A) = Rs. 176$,Rate $(R) = 6 \% 	ext{ per annum}$,Time $(T) = 20 	ext{ months} = \frac{20}{12} 	ext{ years} = \frac{5}{3} 	ext{ years}$.Formula for Present Worth $(P.W.) = \frac{100 	imes A}{100 + (R 	imes T)}$.$P.W. = \frac{100 	imes 176}{100 + (6 	imes \frac{5}{3})} = \frac{17600}{100 + 10} = \frac{17600}{110} = Rs. 160$.True Discount $(T.D.) = A - P.W. = 176 - 160 = Rs. 16$.Thus,the present worth is $Rs. 160$ and the true discount is $Rs. 16$.

Find the present worth $(P.W.)$ and the true discount $(T.D.)$ reckoning $6 \%$ per annum simple interest of $Rs. 176$ due in $20 \text{ months}$ time. (in $Rs.$)

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