CA Foundation · Quantitative Aptitude · Sequence and Series
A company's sales are ₹2,00,000 in the first year and grow by 5% every year. Using (1.05)^4 = 1.2155, what are the total sales over the first 4 years, approximately?
Total sales over four years are about ₹8,62,000. The yearly sales form a GP with first term 2,00,000 and ratio 1.05, so the sum is 2,00,000 × (1.05⁴ − 1)/0.05 ≈ ₹8,62,000.
- A₹8,62,000Correct
- B₹8,00,000
- C₹8,40,000
- D₹9,24,000
Explanation
Sales form a GP with a = 2,00,000, r = 1.05. Sum = 2,00,000 × (1.2155 − 1)/0.05 = 2,00,000 × 4.31 = ₹8,62,000. The option ₹8,00,000 ignores growth entirely (4 × 2,00,000). Check: 2,00,000 + 2,10,000 + 2,20,500 + 2,31,525 = 8,62,025.
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