Correct option is A
Given:
Successive price changes: −50%,−35%,−50%,+45%
Formula Used:
Final Value = Initial Value ×(1±100Change%)
Solution:
Let the original price be 100.
Price after 1st month = 100×(1−10050)=50
Price after 2nd month = 50×(1−10035)=50×0.65=32.5
Price after 3rd month = 32.5×(1−10050)=32.5×0.50=16.25
Price after 4th month = 16.25×(1+10045)=16.25×1.45=23.5625
Change in price = Initial Price - Final Price
Change = 100 - 23.5625 = 76.4375%
Rounding off to two decimal places gives a decrease of 76.44%
Final Answer
So the correct answer is (a)
Exam Hall Method: