A farmer buys a used tractor for ₹ 12000. He pays ₹ 6000 cash and agrees to pay the balance in annual instalments of ₹ 500 plus 12% interest on the unpaid amount. How much the tractor cost him?

Given: Price of the tractor is Rs. 12000. He pays ₹ 6000 cash and agrees to pay the balance in annual instalments of ₹ 500 plus 12% interest on the unpaid amount.


To find: Total cost of the tractor if he buys it at installment


Total price = 12000


Paid amount = 6000


Unpaid amount = 12000 – 6000 = 6000


He pays remaining 6000 in n number of installments of 500 each



Cost incurred by him to pay remaining 6000,




Formula used:



where a is first term, d is common difference and n is number of terms in an A.P.


Therefore,







= 10680


Total cost = 6000 + 10680 = 16680


Hence, total cost of the tractor if he buys it at installment is Rs. 16680


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