Directions (1-5): There are five companies and we have given the no. of employees working in different companies. In the table we have also given the percentage of male and female employees of HR and Marketing department.

1. Difference between male employees of marketing dept. in all companies together (excluding company T) and the female employees of HR dept. in all companies together (excluding company Q and T)?

A. 28 B. 20 C. 26 D. 30 E. 34

Answer: Option C
Explanation: Required difference = (27 + 102 + 16 + 42) – (63 + 56 + 42) = 187 − 161 = 26
2. Total number of marketing employees of company Q and S is what % more than the total no. of marketing employee in company R?

A. 530% B. 550% C. 515% D. 500% E. 545%

Answer: Option E
Explanation: Required % = [latex]\frac{[212 + 63 − 44]}{44}[/latex] × 100 = 545.45% = 545%
3. The ratio of a female employee of company P and Q in the HR dept. to the male employee of company S and R in Marketing dept. ?

A. 75 : 24 B. 79 : 23 C. 74 : 29 D. 71 : 22 E. 73 : 20

Answer: Option C
Explanation: Required Ratio = 63 + 85 : 16 + 42 = 148 ∶ 58 = 74 : 29
4. If 40% of the employees of company T in the HR department have a graduation degree and 60% of the employees of the same company in the Marketing dept. have graduation degree, then how many employees have a graduation degree in company T in both dept. together.

A. 72 B. 79 C. 70 D. 75 E. 71

Answer: Option D
Explanation: Required employees = ([latex]\frac{40}{100}[/latex] × 120) + ([latex]\frac{60}{100}[/latex] × 45) = 48 + 27 = 75
5. The ratio of a female employee in the HR dept. of company S and T together to male employees of the Marketing department in company P and Q together?

A. 30 : 43 B. 36 : 45 C. 37 : 43 D. 39 : 43 E. 39 : 41

Answer: Option D
Explanation: Required Ratio = 42 + 75 27 + 102 = 117 : 129 = 39 : 43

Direction (1-5): The following table shows the expenditure and income of a certain company in 5 years. Upon which its profit% and loss% are also given. Some values are missing. Study the table carefully and answer the questions based on data in table and particular questions.

1. Profit in 2013 is how much percent more as compared to a profit in 2011?

A. 63.23% B. 56.76% C. 45.83% D. 59.82% E. 44.98%

Answer: Option C
Explanation: In 2011, profit = [latex]\frac{15}{100}[/latex] × 96 = 14.4 millions In 2013, profit = [latex]\frac{80}{100}[/latex] × 105 = 21 millions Required % = [latex]\frac{(21 – 14.4)}{14.4}[/latex] × 100 = 45.83%
2. In 2015, expenditure of company was 15% more as compared to 2012. Find income generated by company in 2015.

A. 125.488 millions B. 124.488 millions C. 125.468 millions D. 116.488 millions E. 115.488 millions

Answer: Option A
Explanation: In 2015, expenditure = [latex]\frac{115}{100}[/latex] × 124 = 142.6 miilions So income = [latex]\frac{88}{100}[/latex] × 142.6 = 125.488 millions
3. A loss incurred by the company in 2012 was 16.6 million more than the profit of the company in 2011, what is the loss% incurred by the company in 2012?

A. 17% B. 28% C. 22% D. 25% E. 23%

Answer: Option D
Explanation: Profit in 2011 = [latex]\frac{15}{100}[/latex] × 96 = 14.4 millions So loss in 2012 = 16.6 + 14.4 = 31 millions So loss% = [latex]\frac{31}{124}[/latex] × 100 = 25%
4. In 2014, profit% of the company was 60% more than in 2011. Find 3. percent increase (approximately) in the expenditure of the company in 2014 as compared to previous year.

A. 41% B. 29% C. 45% D. 34% E. 38%

Answer: Option E
Explanation: In 2014, profit% = [latex]\frac{160}{100}[/latex] × 15 = 24% So expenditure in 2014 = 179.8 × [latex]\frac{100}{124}[/latex] = 145 millions So required % = [latex]\frac{(145-105)}{105}[/latex] × 100 = 38%
5. Using the data from the table and above 4 questions, find the average profit of the company in all years.

A. 4.4176 millions B. 4.4176 millions C. 4.4176 millions D. 4.4176 millions E. 4.4176 millions

Answer: Option B
Explanation: Profit in 2011 = 14.4 millions Loss in 2012 = 31 millions Profit in 2013 = 21 millions Profit in 2014 = 24% of 145 = 34.8 millions Loss in 2015 = (142.6 – 125.488) = 17.112 millions So average = [latex]\frac{(14.4 – 31 + 21 + 34.8 – 17.112)}{5}[/latex] = 4.4176 millions

Direction (1-5): Study the following table and answer the questions that follow:

1.In 2012, if out of the total profit, R got Rs 9750 as his share, what is the number of months for which R invested his money?

A 7 months B 8 months C 6 months D 4 months E 5 months

Answer: Option C
Explanation: Ratio of share of profit of P : Q : R is 4 × 4 : 3 × 6 : 5 × x 16 : 18 : 5x So [latex]\frac{5x}{(34 + 5x)}[/latex] × 20800 = 9750 Solve, x = 6 months
2. In 2013, if out of the total profit, P and R got a share of Rs 10,400 and Rs 19,500 respectively, what is the ratio of investment of P, Q and R respectively?

A. 3 : 3 : 5 B. 4 : 3 : 2 C. 2 : 5 : 5 D. 2 : 3 : 5 E. 2 : 5 : 3

Answer: Option D
Explanation: x × 8 : 3 × 5 : y × 6 8x : 15 : 6y So [latex]\frac{8x}{(8x + 15 + 6y)}[/latex] × 39650 = 10400 Solve, 225x – 60y = 150 15x – 4y = 10……………………………………(1) Also [latex]\frac{6y}{(8x + 15 + 6y)}[/latex] × 39650 = 19500 Solve, 61y = 75 + 40x + 30y 40x – 31y = -75………………………………….(2) Solve equations (1) and (2) x = 2, y = 5 So ratio of investment is x : 3 : y = 2 : 3 : 5
3. In 2014, out of the total profit, Q got Rs 12,000 as his share. R invested Rs 3600. If ratio of share of R in total profit to total profit is 3 : 10, find the total profit.

A. Rs 40, 000 B. Rs 35, 000 C. Rs 45, 000 D. Rs 50, 000 E. Rs 30, 000

Answer: Option E
Explanation: In 2014, P invested Rs 5x, Q – 4x and R 3600 So ratio of share of profits of P, Q and R: 5x × 3: 4x × 5 : 3600 × 5 3x : 4x : 3600 Let total profit = Rs y So [latex]\frac{4x}{(7x + 3600)}[/latex] × y = 12000………………………(1) [latex]\frac{xy}{(7x + 3600)}[/latex] = 3000 Also, [latex]\frac{[\frac{3600}{(7x + 3600) }× y]}{y}[/latex] = [latex]\frac{3}{10}[/latex] y gets cancelled Solve, x = 1200 Put in (1) Solve, y = Rs 30, 000 = total profit
4. In 2015, P and Q invested Rs 3900 and Rs 2600 respectively. Also, P and Q invested for the same number of months. If the difference in the shares of P and Q out of total profit is Rs 2750, find the ratio of number of months of investment of P to the investment of R.

A. Other than given in options B. 2 : 265 C. 1 : 260 D. 1 : 1040 E. 2 : 1045

Answer: Option D
Explanation: Let investment of R is 4x, and months of investment of P = Q = y months So ratio of profit share of P : Q : R is 3900×y : 2600×y = 4x×4 975y : 650y : 4x So [latex]\frac{(975y-650y)}{(975y + 650y + 4x)}[/latex] × 22550 = 2750 [latex]\frac{325y}{(1625y + 4x)}[/latex] = [latex]\frac{2750}{22550}[/latex] 1625y + 4x = 2665y 4x = 1040y So [latex]\frac{y}{4x}[/latex] = [latex]\frac{1}{1040}[/latex]
5. The total investment of P, Q, and R in 2016 is Rs 16,800. If a difference in shares of the profit of Q and P is Rs 5250, find the investment of Q.

A. Rs 3600 B. Rs 7200 C. Rs 6000 D. Rs 4800 E. Rs 2400

Answer: Option B
Explanation: Ratio of share of profit of P : Q : R is 3×4 : x × 7 : 5 × 6 12 : 7x : 30 So [latex]\frac{(7x - 12)}{(7x + 42)}[/latex] × 14700 = 5250 (7x - 12) × 14 = (7x + 42)× 5 98x – 168 = 35x + 210 Solve, x = 6 So ratio of investments of P : Q : R is 3 : x : 5 = 3 : 6 : 5 So investment of Q = [latex]\frac{6}{(3 + 6 + 5)}[/latex] × 16800 = Rs 7200