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CMAT 2015 Solved Question Paper
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© examsnet.com
Question : 23
Total: 100
If the side of an equilateral triangle is increased by 60%, then by what per cent will the area increase?
145 %
125 %
98 %
156 %
Validate
Solution:
(d) Let the each side of equilateral triangles be 100.
∴ Area of a triangle =
√
3
4
⋅
(
side
)
2
=
√
3
4
⋅
(
100
)
2
=
√
3
4
×
10000
=
2500
√
3
sq. units
New length of side when 60% increased = 100 + 60% of 100
= 100 +
60
100
x 100 = 160
∴ Area of a triangle =
√
3
4
⋅
(
160
)
2
=
6400
√
3
sq units
∴ Required percentage increase in the area
=
6400
√
3
−
2500
√
3
2500
√
3
×
100
=
3900
√
3
2500
√
3
×
100
= 156 %
© examsnet.com
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