Join 60,000+ competitive exam aspirants
If A's salary is 72 % more than that of B, then how much percent is B's salary less than that of A (correct to 2 decimal places)?
44.19%
41.86%
45.3%
44.24%
41.86%
Use the formula 100+rrтАЛ├Ч100 where r=72. This avoids the long process of assuming B = 100 and calculating the difference manually.
A's salary is 72% more than B's salary (A = 1.72 * B).
Percentage┬аLess=(100+rrтАЛ)├Ч100
Use the formula 100+rrтАЛ├Ч100 where r=72. This avoids the long process of assuming B = 100 and calculating the difference manually.
Many students incorrectly calculate the percentage decrease as 72%, failing to realize the denominator must be the larger value (A's salary) rather than B's base.
Assume Salary
Let B's salary be 100. Since A's salary is 72% more, A's salary becomes 100+72=172.
B=100,A=172
Determine Difference
The difference between A's salary and B's salary is 172тИТ100=72.
Difference=72
Calculate Percentage Less
To find how much percent B's salary is less than A's, we divide the difference by A's salary and multiply by 100.
Percent┬аLess=(17272тАЛ)├Ч100
Final Calculation
Calculating the fraction: 7200/172тЙИ41.86046.... Rounding to two decimal places gives 41.86%.
41.86%
B is correct because the calculation (72/172)├Ч100 yields approximately 41.86%.
This concept is fundamental to Profit & Loss problems, specifically when calculating 'Percentage Discount' or 'Percentage Reduction' relative to a marked or increased price.