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SSC MTS 6 Aug 2019 Shift 2 Paper
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© examsnet.com
Question : 42
Total: 100
The proportion of students in the three classes is 3 : 4 : 5. If the number of students is increased by 20 in each class, then the proportion changes to 4 : 5 : 6. What is the initial number of students in the three classes taken together?
300
280
320
240
Validate
Solution:
Let the initial number of students be 3x, 4x and 5x
⇒ (3x + 20) : (4x + 20) : (5x + 20) = 4 : 5 : 6
⇒
3
x
+
20
4
x
+
20
=
4
5
⇒ 15x + 100 = 16x + 80
⇒ x = 20
⇒ The initial number of students = 3x + 4x + 5x = 12x = 240
∴ The initial number of students is 240.
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