A washing machine is available for Rs.13,500 cash or Rs.6,500 as cash down payment followed by three monthly instalments of Rs.2,500 each. Find the rate of interest charged under instalment plan.
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Cash price of washing machine = Rs. 13500
Cash down payment = Rs. 6500
Balance due = Rs(13500 – 6500) = rs. 7000
No. of equal instalments = 3
Amount of each instalment =rs. 2500
Amount paid in installment = Rs. 7500
Therefore, interest paid in installment scheme = rs(7500-7000) = rs. 500
Principal for the 1stmonth = Rs. 7000
Principal for the 2ndmonth = Rs. 4500
Principal for the 3rdmonth = Rs. 2000
Total = Rs. 13500
Let the rate of interest be r% per annum
I = p*r*1 / 1200
Then, I = 13500*r*1 / 100*12
=> 500 =13500*r*1 / 100*12
=>r = 500*12/ 135
=>r = 44.4 %
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