A owes B Rs. 1350 due in 3 months and B owes | vedclass

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(A) The present worth $(P.W.)$ is calculated using the formula $P.W. = \frac{Amount 	imes 100}{100 + (Rate 	imes Time)}$.$P.W.$ of $Rs. 1350$ due in

Vedclass · Accepted Answer

$277\frac{1}{3}$

Vedclass · Answer

(A) The present worth $(P.W.)$ is calculated using the formula $P.W. = \frac{Amount 	imes 100}{100 + (Rate 	imes Time)}$.$P.W.$ of $Rs. 1350$ due in $3$ months at $5\%$ $p.a.$:$P.W. = \frac{1350 	imes 100}{100 + (5 	imes \frac{3}{12})} = \frac{1350 	imes 100}{100 + 1.25} = \frac{135000}{101.25} = Rs. \frac{4000}{3}$.$P.W.$ of $Rs. 1078$ due in $5$ months at $5\%$ $p.a.$:$P.W. = \frac{1078 	imes 100}{100 + (5 	imes \frac{5}{12})} = \frac{1078 	imes 100}{100 + 2.0833} = \frac{107800}{102.0833} = Rs. 1056$.$A$ should pay $B = P.W. 	ext{ of } 1350 - P.W. 	ext{ of } 1078 = \frac{4000}{3} - 1056 = \frac{4000 - 3168}{3} = \frac{832}{3} = Rs. 277\frac{1}{3}$.

$A$ owes $B$ $Rs. 1350$ due in $3$ months and $B$ owes $A$ $Rs. 1078$ due in $5$ months. If they agree to settle their account right now at $5\%$ $p.a.$ simple interest,how much should $A$ pay to $B$ (in $Rs.$)?

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