A computer is available for Rs 34000 cash or Rs14260 cash down payment, together with two equal half- yearly instalment. If the rate of interest charge under instalment plan of 20% p.a ,calculate the value of each instalment.
Solution:
Answers
Given : A computer is available for Rs 34000 cash or Rs14260 cash down payment, together with two equal half- yearly instalment. If the rate of interest charge under instalment plan of 20% p.a
To find : value of each installment.
Solution:
Let say Each installment = E Rs
Cost of computer = 34000 Rs
Paid as down payment = Rs 14260
Remaining amount = 34000 - 14260
= 19740 Rs
Interest for 6 months = 19740 * 20 * (6/12) /100 = 1974 Rs
Amount paid after 6 months = E
Amount pending = 19740 + 1974 - E = 21714 - E Rs
Interest for next 6 months = (21714 - E) * 20 * (6/12) /100
= (21714 - E)/10 Rs
Amount to be paid = ( 21714 - E ) + (21714 - E)/10 = (11/10)(21714 - E) Rs
Amount paid = E
(11/10)(21714 - E) = E
=> 11 * 21714 - 11E = 10E
=> 21 E = 11 * 21714
=> E = 11 * 1034
=> E = 11374
value of each installment = Rs 11374
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