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  1. GATE CS
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  3. General Aptitude

Leila aspires to buy a car worth Rs. 6,67,000 after 5 years. What is the minimum amount in Rupees that she should deposit now in a bank which offers 10% annual rate of interest, if the interest was compounded annually? A. 5,00,000 B. 4,14,333 C. 4,00,000 D. 7,50,000

GATE 2018 · General Aptitude · Compound Interest · medium

Answer: Minimum deposit = Rs. 4,14,333 (Option B)

  1. Compute the compound growth factor for 5 years: (1.10)^5 = 1.1^5 = 1.61051
  2. Calculate present value: P = 6,67,000 / 1.61051 = 4,14,133 approx 4,14,333