In an engineering college, there are four branches namely Computer Science (CS), Electronics (EC), Civil (CE), and Mechanical (ME). The respective ratio of the number of students in these branches is 11 ∶ 5 ∶ 6 ∶ 7. What is the percentage of students belonging to CS and ME branches in the college (correct up to two decimal places)?

Question

Question

This question was previously asked in

SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 03 Jul, 2024 Shift 4)

Answer 1

Given:

Ratio of students in CS, EC, CE, and ME branches = 11 ∶ 5 ∶ 6 ∶ 7

Formula Used:

Percentage of students in a branch = (Number of students in the branch / Total number of students) × 100

Calculation:

Let the number of students in CS be 11x, in EC be 5x, in CE be 6x, and in ME be 7x.

Total number of students = 11x + 5x + 6x + 7x

Total number of students = 29x

Number of students in CS and ME = 11x + 7x = 18x

Percentage of students in CS and ME branches = (18x / 29x) × 100

⇒ Percentage of students in CS and ME branches = (18 / 29) × 100

⇒ Percentage of students in CS and ME branches = 0.6207 × 100

⇒ Percentage of students in CS and ME branches = 62.07%

The percentage of students belonging to CS and ME branches in the college is 62.07%.