SSC Selection Post 2024 PYQ — Question 74

SSC Selection Post - Graduation Level - 21 June 2024 - Shift 3 • Quantitative Aptitude • Q74

In a company, 35% of employees are from a science background and 15\frac{1}{5}th are from an arts background. The rest are either illiterate or with a commerce background. The number of illiterates is 300, which is 12\frac{1}{2}​ of the commerce background. How many employees are from a science or arts background?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 1100.

Commerce background employees = 300 × 2 = 600

Total other employees = 300 (illiterate) + 600 (commerce) = 900

Science background = 35% and Arts background = 1/5 = 20%

Combined science and arts background = 35% + 20% = 55%

Remaining percentage = 100% - 55% = 45%

Total employees = 900/0.45 = 2000

Employees from a science or arts background = 0.55 × 2000 = 1100