SSC CGL 2022 PYQ — Question 66

The correct answer is option 1 i.e. 14.29%

Concept Used :

Area of triangle = ½ × b × h

Solution:

Let the base of the triangle be x cm, so the new base will be 140x/100 = 7x/5

Let the height of the triangle be h cm and the height of new triangle is h₁ cm

It is given that increase in area of triangle is 60%

Therefore, ${[{1\over 2} × {7x\over 5} × h1]\over [{1\over 2} × x × h]} = {160\over 100}$

 ⇒ ${h1\over h} = {8\over 7}$

So increase in the height = ${(8-7)\over 7} × 100 = {100\over 7}$= 14.2857.. ≈ 14.29

Hence percentage increase in the height of the triangle is 14.29%.