A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the original number?
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Updated Mar 08, 2024
A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the original number?
The original number is 1000.
Here's how
According to the given condition :
Decreased by 10 %: 0.9x (90% of x).
Increased by 10 % : 1.1 * 0.9x = 0.99x
Now, we can solve for x
0.99x = x - 10
Solving for x:
0.01x = 10
Therefore, the original number (x) is 10 / 0.01 = 1000.
So the original number was 1000.
Problems to Work out
1. A number is increased by 20% and then decreased by 20%. The resulting number is 12 more than the original number. What was the original number?
2. If a number is multiplied by 0.8 and then divided by 0.8, the result is 60. What is the original number?
3. A shopkeeper increases the price of an item by 25% and then decreases it by 10%. If the final price is $45 less than the original price, what was the original price of the item?
A number is decreased by 10% and then increased by 10%. The number so obtained is 10 less than the original number. What was the original number - FAQs
The original number is 1000.