The price of a rare artifact was increased by r%. Later, the new price was decreased by r%. If the final price of the artifact is Rs. 1, what was its original price in Rs.? MCQ with Answer and Explanation
The price of a rare artifact was increased by r%. Later, the new price was decreased by r%. If the final price of the artifact is Rs. 1, what was its original price in Rs.?
A. (10000 - r^2) / 10000
B. (1 - r^2/100)
C. (10000) / (10000 - r^2)
D. 1
Answer: Option C
Solution (By JKSSB Mock Tests)
Let original price be P. P * (1 + r/100) * (1 - r/100) = 1. P * (1 - r^2/10000) = 1. P * ((10000 - r^2) / 10000) = 1. P = 10000 / (10000 - r^2).
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