**1. Study the following graph carefully to answer the given questions.**

1.1) What was the percentage decrease in the number of employees in company B in the year 2008 as compared to the previous year?

(A) 22 (B) 20.5 (C) 12.5 (D) 23.5

Solution:

(40 – 35)/40 = 1/8 = 12.5

Explanation:

We know the formula, Percentage Change = ± [(New value –Old value)/Old value] Solve this mentally we get 1/8 and

We remember 1/8 is nothing but 12.5.

1.2) What was the approximate average number of employees in company ‘C ‘ over all the years together?

(A) 32900 (B) 33335 **(C) 31660** (D) 32660

Solution:

190/6 = 31.66 thousand = 31660

**Explanation:**

Add values without using paper by seeing the chart and divide by 6.we can do this also without paper and pen.

1.3) What is the respective ratio between the number of employees in company-B in the year 2005 and the no. of employees in company C in the year 2007?

(A) 5 : 4 (B) 4:5 **(C) 2:5** (D) None of these.

1.3) Total number of employees in Company-A over all the years together was approximately what percent of the total number of employees in Company-C in the years 2007 and 2008 together?

(A) 210 (B) 225 (C) 220 (D) 235 (5) 245

Solution:

[(15+30+45+25+50+45)/ (50+40)] = 210/90 = 21/9 = 235.

Explanation: Use Addition trick and Division trick to solve this sort of question in less time.

1.4) If 30% of the total number of employees in the year 2006 in all the companies together was female. What was the total number of employees in the same year in all the companies together?

(A) 9 thousand (B) 4.9 lakhs (C) 48000 (D) 4.8 lakhs (E) None of these.

Sol:

Total Employees in 2006 = (30 + 15 + 25) =70

Female Employees = (70) × 3/10 = 21

Male Employees = 70 – 21 = 49 i.e. 49000

Ans: **(E) None of these.**

** ****Note**: For better understanding, I have written steps but in the exam no need to write every step.