CA Foundation · Quantitative Aptitude · Sequence and Series
A machine costing ₹6,40,000 loses value so that its value at the end of each year is 3/4 of its value at the start of that year. What is its value at the end of 3 years?
The value after three years is ₹2,70,000. The value is multiplied by three quarters each year, so it equals 6,40,000 times 27/64, which is 10,000 times 27, or ₹2,70,000.
- A₹2,70,000Correct
- B₹3,60,000
- C₹4,80,000
- D₹2,02,500
Explanation
The values form a GP with r = 3/4. Value after 3 years = 640000 × (3/4)^3 = 640000 × 27/64 = 10000 × 27 = 2,70,000. The option ₹3,60,000 is 640000×(9/16), the value after 2 years, and ₹4,80,000 is after 1 year.
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