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If A earns 3331тАЛ% more than B, then B earns less than A by:
25%
1632тАЛ%
3331тАЛ%
50%
25%
Express the percentage increase as a fraction: 33 1/3% = 1/3. If A is (1 + 1/3) = 4/3 of B, then B is 3/4 of A. The decrease is 1/4 of A, which is 25%.
A earns 33 1/3% more than B.
Percentagedecrease=(100+xxтАЛ)├Ч100
Express the percentage increase as a fraction: 33 1/3% = 1/3. If A is (1 + 1/3) = 4/3 of B, then B is 3/4 of A. The decrease is 1/4 of A, which is 25%.
Many students mistakenly apply 33 1/3% decrease directly, which is incorrect; the base changes from B to A.
Convert percentage to fraction
Convert 3331тАЛ% into a fraction. 3331тАЛ%=100100/3тАЛ=31тАЛ
31тАЛ
Establish the ratio
If B earns 3 units, then A earns 3+(1/3┬аof┬а3)=3+1=4 units.
A:B=4:3
Calculate the difference percentage
B earns less than A by 1 unit out of 4 units. The percentage decrease is (1/4)├Ч100%
25%
A is correct because when A earns 1/3 more than B, the relationship is A=34тАЛB, which implies B=43тАЛA, representing a 25% decrease.
This logic is identical to 'Price vs Consumption' problems where if price increases by x%, consumption must decrease by 100+xxтАЛ to keep expenditure constant.
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