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If A's income is 40% less than B's income, then A's income is what percentage of B's income?
166.67%
60%
40%
75%
60%
If A is x% less than B, then A is 100100тИТxтАЛ of B. Here, A is 100100тИТ40тАЛ=0.6 or 60% of B.
A's income is 40% less than B's income.
Percentage=(BAтАЛ)├Ч100
If A is x% less than B, then A is 100100тИТxтАЛ of B. Here, A is 100100тИТ40тАЛ=0.6 or 60% of B.
Many students mistake this for the 'percentage increase' formula (x/(100тИТx)) instead of simply calculating the ratio (100тИТx)/100.
Assume B's income
Let B's income be 100.
B=100
Calculate A's income
Since A's income is 40% less than B's, A = 100тИТ(40%┬аof┬а100).
A=100тИТ40=60
Calculate the required percentage
We need to find what percentage A's income is of B's income, which is (A/B)├Ч100.
Percentage=(10060тАЛ)├Ч100=60%
B is correct because A's income is 60% of B's income.
This concept of 'percentage of' vs 'percentage more/less than' is the foundation for Profit and Loss, as well as Data Interpretation problems.
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