The price of an article was increased by x%, later the new price was decreased by x%. If the latest price was Rs.1, then the original price was?
Answer & explanation
Correct answer: option 4
Original price × [ \(\frac{100+x}{100}\) ] ×[ \(\frac{100-x}{100}\) ] = 1
original price × \(\frac{(100+x) × ( 100-x) }{10000}\) = 1
original price × (10000-x2) = 10000
∴ [(a+b) (a-b)] = a2 - b2]
original price = \(\frac{10000}{10000-x^2}\)