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Isabel grows potatoes in her garden. This year, she harvested 760 potatoes and saved 10% of them to plant next...

GMAT Problem-Solving and Data Analysis : (PS_DA) Questions

Source: Practice Test
Problem-Solving and Data Analysis
Percentages
EASY
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Notes
Post a Query

Isabel grows potatoes in her garden. This year, she harvested \(760\) potatoes and saved \(10\%\) of them to plant next year. How many of the harvested potatoes did Isabel save to plant next year?

A

66

B

76

C

84

D

86

Solution

1. TRANSLATE the problem information

  • Given information:
    • Total potatoes harvested: 760
    • Percentage saved: 10%
    • Need to find: Number of potatoes saved
  • This asks us to find 10% of 760 potatoes.

2. TRANSLATE the percentage operation

  • '10% of 760' means multiply 760 by the decimal form of 10%
  • Convert the percentage: \(10\% = \frac{10}{100} = 0.1\)
  • Mathematical expression: \(760 \times 0.1\)

3. SIMPLIFY the calculation

  • \(760 \times 0.1 = 76\)
  • Isabel saved 76 potatoes to plant next year

Answer: B. 76




Why Students Usually Falter on This Problem

Most Common Error Path:

Weak TRANSLATE skill: Students misread 760 as 660, especially when working quickly through the problem.

When they calculate 10% of 660 instead of 760:
\(660 \times 0.1 = 66\)

This may lead them to select Choice A (66).


Second Most Common Error:

Conceptual confusion about percentages: Students might confuse 10% with other decimal conversions, such as thinking \(10\% = 0.01\) instead of 0.1.

If they calculate \(760 \times 0.01 = 7.6\), they realize this is too small and might guess among the remaining choices, or make additional calculation errors trying to 'fix' their work.


The Bottom Line:

This problem tests whether students can accurately translate percentage language into mathematical operations and perform the conversion correctly. The key stumbling blocks are reading accuracy and percentage-to-decimal conversion.

Answer Choices Explained
A

66

B

76

C

84

D

86

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