ExamPrepWay
Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Solve this faster with the right shortcut first
- Identify CP and SP.
- Find profit/loss amount.
- Use CP as base for percentage if asked.
Correct Answer: D
Correct Answer: D
Method / Topic: Profit and Loss
Profit or loss percentage is calculated on cost price.
Short Explanation
Detailed Explanation
Correct Answer: D
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:top; white-space:normal; width:85px"><span style="color:#000000">ANSWER:<br />
3.04%<br />
<br />
<br />
Turn every dimensional percentage change into a multiplier and apply the correct area, surface-area, or volume relationship. Linear changes compound when two or three dimensions are involved.<br />
<br />
CALCULATION:<br />
Area multiplier = 1.12 × 0.92 = 1.0304; change magnitude = 3.04%.<br />
<br />
CHECK:<br />
An original area of 100 becomes 103.04.<br />
<br />
EXAM TIP:<br />
Remember that area generally uses two linear factors and volume often uses three.<br />
<br />
<br />
Do not copy a side or radius percentage directly as an area or volume percentage.<br />
<br />
FINAL CHECK:<br />
Confirm the quantity treated as 100%, the comparison or change direction, and the requested unit. Substitute the result back into the original condition before selecting the option.<br />
<br />
CONCLUSION:<br />
Therefore, the correct
See full explanation + shortcut trick
Compare the quick idea with the premium step-by-step explanation and faster solving trick for this pattern.
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 rectangular plot's length changes by +12% and its width changes by -8%. What is the magnitude of the percentage change in area?
Explanation
Correct Answer: D
Method / Topic: Profit and Loss
Profit or loss percentage is calculated on cost price.
Short Explanation
Detailed Explanation
Correct Answer: D
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:top; white-space:normal; width:85px"><span style="color:#000000">ANSWER:<br />
3.04%<br />
<br />
<br />
Turn every dimensional percentage change into a multiplier and apply the correct area, surface-area, or volume relationship. Linear changes compound when two or three dimensions are involved.<br />
<br />
CALCULATION:<br />
Area multiplier = 1.12 × 0.92 = 1.0304; change magnitude = 3.04%.<br />
<br />
CHECK:<br />
An original area of 100 becomes 103.04.<br />
<br />
EXAM TIP:<br />
Remember that area generally uses two linear factors and volume often uses three.<br />
<br />
<br />
Do not copy a side or radius percentage directly as an area or volume percentage.<br />
<br />
FINAL CHECK:<br />
Confirm the quantity treated as 100%, the comparison or change direction, and the requested unit. Substitute the result back into the original condition before selecting the option.<br />
<br />
CONCLUSION:<br />
Therefore, the correct
See full explanation + shortcut trick
Use the free answer check first, then unlock the complete breakdown, shortcut path, and richer explanations for similar questions.
Keep Practicing This Pattern
Recommended Next Practice
Use these suggestions after solving the practice questions above.