Home » Aptitude » Mensuration » Question
  1. The base of a triangle is increased by 10%. To keep the area unchanged the height of the triangle is to be decreased by
    1. 9
      1
      %
      11
    2. 11
      1
      %
      9
    3. 11%
    4. 9%
Correct Option: A

Using Rule 10, Percentage increase

= x + y +
x × y
%
100

⇒ 0 = 10 + y +
10 y
%
100

⇒ - 10 = y +
y
10

⇒ - 10 =
10y + y
10

⇒ 11y = – 100
⇒ y =
- 100
= - 9
1
%
1111

Negative sign shows decrease.
OR

Percentage decrease =
10
× 100
100 + 10

=
100
= 9
1
%
1111



Your comments will be displayed only after manual approval.