A computer is sold either for Rs.19200 cash or for Rs.4800 cash down payment together with five equal monthly installments. If the rate of interest charged is 12% per annum, then the amount of each installment (nearest to a rupee) is
Explanation:
Price of computer = Rs 19,200
Down payment = Rs. 4,800
∴ Amount borrowed (i.e., loan taken) = 19200 – 4800 = Rs. 14,400.
This amount has to be repaid equally over 5 months at 12% p.a.
Let Rs. x is paid at the end of every month.
Interest charged for 1 month = 12%/12 = 1%
∴ 144001+1×5100 = x1+1×4100 + x1+1×3100 + x1+1×2100 + x1+1×1100 + x
⇒ 15120 = 1.04x + 1.03x + 1.02x + 1.01x + x
⇒ 15120 = 5.1x
⇒ x = 15120/5.1 ≈ 2965.
Hence, option (a).
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