SATHEE: Quantitative Aptitude Ques 170

Quantitative Aptitude Ques 170

Question: The height of a triangle is increased by 10%. To retain the original area of the triangle, its corresponding base must be decreased by

Options:

A) $ 9\frac{1}{11} $ %

B) 10%

C) $ 9\frac{1}{8} $ %

D) $ 9\frac{1}{7} $ %

Show Answer

Answer:

Correct Answer: A

Solution:

Let base be 10 cm and height be 10 cm.

$ \therefore $ Area of triangle $ =\frac{1}{2}\times b\times h $ $ =\frac{1}{2}\times 10\times 10=50,cm^{2} $ If height is increased by 10%, then new height = 11cm and $ \frac{1}{2}\times b\times 11=50 $

$ \Rightarrow $ $ b=\frac{100}{11}cm $

$ \therefore $ Reduction in base $ =\frac{(10-\frac{100}{11})}{10}\times 100=\frac{10}{\frac{11}{10}}\times 100 $ $ =\frac{1}{11}\times 100=9\frac{1}{11} $ %

Quantitative Aptitude Ques 169

Quantitative Aptitude Ques 171

Quantitative Aptitude Ques 170

Question: The height of a triangle is increased by 10%. To retain the original area of the triangle, its corresponding base must be decreased by

Options:

Answer:

Solution:

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