imhimanshu wrote:
Each year for 4 years, a farmer increased the number of trees in a certain orchard by 1/4 of the number of trees in the orchard of the preceding year. If all of the trees thrived and there were 6250 trees in the orchard at the end of 4 year period, how many trees were in the orchard at the beginning of the 4 year period.
A. 1250
B. 1563
C. 2250
D. 2560
E. 2752
Can someone walk me through the logic behind this question. I am able to solve this by using options as well as by assuming the number of trees = x. However, had the question been, "If all of the trees thrived and there were 6250 trees in the orchard at the end of 15 year period, how many trees were in the orchard at the beginning of the 4 year period". then it would have been difficult to solve.
Thanks
End of Year 4 - \(6250\)
End of Year 3 - \(6250*\frac{4}{5}=5000\)
End of Year 2 - \(5000*\frac{4}{5}=4000\)
End of Year 1 - \(4000*\frac{4}{5}=3200\)
End of Year 0 - \(3200*\frac{4}{5}=2560\), Answer must be (D)
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