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# If the height of a triangle is decreased by 40% and its base is

Author Message
Manager
Joined: 07 Jun 2017
Posts: 174
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
If the height of a triangle is decreased by 40% and its base is  [#permalink]

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24 Sep 2017, 22:10
00:00

Difficulty:

35% (medium)

Question Stats:

78% (00:32) correct 22% (01:02) wrong based on 18 sessions

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If the height of a triangle is decreased by 40% and i its base is increased by 40%, what will be effect on its area?

A. No change
B. 8% decrease
C. 8% increase
D. 16% decrease
E. 16% increase

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Manager
Joined: 12 Jun 2016
Posts: 216
Location: India
WE: Sales (Telecommunications)
If the height of a triangle is decreased by 40% and its base is  [#permalink]

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25 Sep 2017, 03:25
I solved this by successive Percentage change formula.

Formula Used

If a certain number changes successively by A% and B%, the effective percentage change = $$A + B + \frac{AB}{100}$$

In this case, Effective percentage change = $$40 - 40 + \frac{(40*-40)}{100}$$

= -16 %

Hence the Area of the new triangle decreases by 16%.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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If the height of a triangle is decreased by 40% and its base is &nbs [#permalink] 25 Sep 2017, 03:25
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