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- Identify CP and SP.
- Find profit/loss amount.
- Use CP as base for percentage if asked.
Correct Answer: C
Correct Answer: C
Method / Topic: Profit and Loss
Profit or loss percentage is calculated on cost price.
Short Explanation
Detailed Explanation
Correct Answer: C
Method / Topic: Profit and Loss
<table cellspacing="0" style="border-collapse:collapse; height:20px; width:85px">
<tbody>
<tr>
<td style="border-bottom:none; border-left:none; border-right:none; border-top:none; height:20px; vertical-align:bottom; white-space:normal; width:85px"><span style="color:#000000">QUESTION:<br />
A's salary is 25% more than B's salary. B's salary is what percent less than A's salary?<br />
<br />
<br />
Assume B's salary is 100; then A's salary is 125.<br />
<br />
<br />
The difference is 25, but the comparison base is A's 125. Therefore 25 / 125 × 100 = 20%.<br />
<br />
CHECK:<br />
Reducing A's assumed salary of 125 by 20% gives 100, which equals B's salary.<br />
<br />
EXAM TIP:<br />
Identify the base quantity before applying any percentage. For successive changes, use multiplication factors to avoid sign and base errors.<br />
<br />
<br />
More by 25% and less by 25% are not reverses because their bases differ.<br />
<br />
REAL-LIFE APPLICATION:<br />
The idea is useful when comparing salaries, prices, heights, production, or market shares in opposite directions.<br />
<br />
<br />
Required percentage = 25 / 125 × 100 = 20%.</span></td>
</tr>
</tbody>
</table>
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Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Shortcut used, common trap, and the fastest solving route
- Identify CP and SP.
- Find profit/loss amount.
- Use CP as base for percentage if asked.
A's salary is 25% more than B's salary. B's salary is what percent less than A's salary?
Explanation
Correct Answer: C
Method / Topic: Profit and Loss
Profit or loss percentage is calculated on cost price.
Short Explanation
Detailed Explanation
Correct Answer: C
Method / Topic: Profit and Loss
<table cellspacing="0" style="border-collapse:collapse; height:20px; width:85px">
<tbody>
<tr>
<td style="border-bottom:none; border-left:none; border-right:none; border-top:none; height:20px; vertical-align:bottom; white-space:normal; width:85px"><span style="color:#000000">QUESTION:<br />
A's salary is 25% more than B's salary. B's salary is what percent less than A's salary?<br />
<br />
<br />
Assume B's salary is 100; then A's salary is 125.<br />
<br />
<br />
The difference is 25, but the comparison base is A's 125. Therefore 25 / 125 × 100 = 20%.<br />
<br />
CHECK:<br />
Reducing A's assumed salary of 125 by 20% gives 100, which equals B's salary.<br />
<br />
EXAM TIP:<br />
Identify the base quantity before applying any percentage. For successive changes, use multiplication factors to avoid sign and base errors.<br />
<br />
<br />
More by 25% and less by 25% are not reverses because their bases differ.<br />
<br />
REAL-LIFE APPLICATION:<br />
The idea is useful when comparing salaries, prices, heights, production, or market shares in opposite directions.<br />
<br />
<br />
Required percentage = 25 / 125 × 100 = 20%.</span></td>
</tr>
</tbody>
</table>
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