Quantitative Aptitude :: True Discount - Discussion
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Choose the correct option.
A owes B, Rs. 1573 payable 1\(\frac{1}{2}\) years hence. Also B owes A, Rs.1444.50 payable 6 months hence. If they want to settle the account forthwith, keeping 14% as the rate of interest, then who should pay and how much ?
ARs. 28.50
BRs. 37.50
CRs. 5.0
DRs. 50
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A owes = P.w of Rs. 1573 due 3/2 years hence
= Rs. { ( 1573 x 100 ) / [ 100 + 14 x ( 3 / 2 ) ] }
= Rs. ( 1573 x 100 ) / 121
= Rs. 1300
B owes = P.W of Rs. 1444.50 due 6 months hence
= Rs. { ( 1444.50 x 100 ) / [ 100 + 14 x ( 1 / 2 ) ] }
= Rs. ( 1444.50 x 100) / 107
= Rs. 1350
Therefore, B should pay Rs. ( 1350 - 1300 ) = Rs. 50, to A.
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