CA Foundation · Quantitative Aptitude · Sequence and Series
Rahul deposits ₹2,000 in a scheme in the first year and each subsequent year deposits 1.5 times the previous year's deposit. What is the total deposited in the first 4 years?
The total is ₹16,250. The deposits form a GP with first term 2,000 and ratio 1.5, giving 2,000, 3,000, 4,500 and 6,750. Adding these four amounts, or using the GP sum formula, gives ₹16,250.
- A₹10,125Correct
- B₹6,750
- C₹7,250
- D₹16,250
Explanation
Deposits are 2000, 3000, 4500, 6750 forming a GP with r = 1.5. Sum = 2000(1.5^4 − 1)/(0.5) = 2000 × 4.0625 / 0.5 = 16,250. Check by adding: 2000+3000+4500+6750 = 16,250. So the correct value is 16,250, not 10,125.
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