MathematicsThe price of an heirloom cabbage is decreased by 10% from its original price. Sometime later, the price is then increased by 10% from its reduced price. What is the ratio of the final price to the original price?Class: 10

The price of an heirloom cabbage is decreased by 10% from its original price. Sometime later, the price is then increased by 10% from its reduced price. What is the ratio of the final price to the original price?


Class: 10


  1. A
    0.99
  2. B
    1
  3. C
    0.90
  4. D
    0.95                                                                                             

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    Solution:

    Let the original price of heirloom cabbage be Rs 100.
    Price of cabbage after it is decreased by 10% of it’s price = 100 - 10 = 90.
    Price of cabbage after it is increased by 10% of it’s price = 90 + 9 = 99.
     Ratio = (Final Price) / (Original Price) = 99/100 = 0.99.
     
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