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

# 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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