Percentage Change
Percentage Change
Percentage Change: is calculated by dividing the change with original and multiplying with 100
Here are two ways to calculate a percentage change, use the one you prefer:
Method 1:
| Step 1: Calculate the change (subtract old value from the new value) |
| Step 2: Divide that change by the old value (you will get a decimal number) |
| Step 3: Convert that to a percentage (by multiplying by 100 and adding a "%" sign) |
| Note: when the new value is greater then the old value, it is a percentage increase, otherwise it is a decrease. |
Method 2:
| Step 1: Divide the New Value by the Old Value (you will get a decimal number) |
| Step 2: Convert that to a percentage (by multiplying by 100 and adding a "%" sign) |
| Step 3: Subtract 100% from that |
| Note: when the result is positive it is a percentage increase, if negative, just remove the minus sign and call it a decrease. |
ILLUSTRATION: A pair of socks went from Rs 5 to Rs 6, what is the percentage change?
Answer (Method 1):
Answer (Method 2):
ILLUSTRATION: Population in a country in the year 2010 was 99000 and in 2009 it was 90000. Find the percentage change.
Sol : Population in 2009 = 90000.
Population in 2010 = 99000.
Change = 99000 - 90000 = 9000
80% of a number is greater than 50% of it by 60 the number is | |||
| Right Option : D | |||
| View Explanation | |||
The population of a town is increased from 175000 to 300000. Find the increase percent in the population. | |||
| Right Option : B | |||
| View Explanation | |||
A broker decreases his commission from 10% to 9% though his income remains unchanged percent increase in his business is | |||
| Right Option : C | |||
| View Explanation | |||
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