**Directions: **Study the given graph and answer the question that follows.

The number of employees in department B is what percent of the total number of employees working in department D and E?

This question was previously asked in

SSC CGL Tier 2 Quant Previous Paper 1 (Held On: 15 November 2020)

Option 4 : 49.3

Cell

298865

10 Questions
10 Marks
7 Mins

**Given:**

Total number of Employees = 3000

The number of employees in department B (in degree) = 74°

The number of employees in department D (in degree) = 57°

The number of employees in department E (in degree)= 93°

**Concept:**

360° represent 100% in a pie chart.

**Detailed Solution:**

The number of employees in department B = (74°/360°) × 3000 = 616.6

The number of employees in department D = (57°/360°) × 3000 = 475

The number of employees in department E = (93°/360°) × 3000 = 775

The number of employees in department D and E together = 475 + 775 = 1250

⇒ Required percentage =\(Number \ of \ employees \ in \ department \ B \ \over Number \ of \ employees \ in \ department \ D \ and \ E \ \)× 100 = (616.6/1250) × 100 = **49.3% **

**∴ The required percentage is **49.3%

__Shortcut Trick__

**Short Solution:**

The number of employees in department B (in degree) = 73.8°

The number of employees in department D and E (in degree) = 57° + 93° = 150°

⇒ Required percentage =\( employees \ in \ department B \ (in \ degree)\over employees \ in \ department \ D \ and \ E \ (in\ degree) \)× 100 = (73.8°/150°) × 100 = **49.2% **

∴ The required percentage is 49.2%