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If A is 40% more than B, then B is how much percent less than A?
28.57%
30%
40%
25%
28.57%
Use the shortcut formula 100+xxтАЛ├Ч100 where x is the percentage increase.
A is 40% more than B
Percentage┬аLess=ADifferenceтАЛ├Ч100
Use the shortcut formula 100+xxтАЛ├Ч100 where x is the percentage increase.
Students often make the mistake of subtracting 40% directly from A, forgetting that the base value changes from B to A.
Assume value for B
Let the value of B=100 to easily compute percentages.
B=100
Determine value of A
Since A is 40% more than B, A=100+40=140.
A=140
Calculate the difference
The difference between A and B is 140тИТ100=40.
AтИТB=40
Compute percentage less with respect to A
B is less than A by the difference divided by A: 14040тАЛ├Ч100=72тАЛ├Ч100тЙИ28.57%.
14040тАЛ├Ч100=28.57%
A is correct because B is approximately 28.57% less than A when calculated with respect to A's value.
Mastering base changes in percentages is crucial for solving profit, loss, and data interpretation questions efficiently.