Company | No.of Employees | HR | Marketing | ||
---|---|---|---|---|---|

Male | Female | Male | Female | ||

P | 450 | 12 | 14 | 6 | 6 |

Q | 850 | 18 | 10 | 12 | 14 |

R | 400 | 28 | 14 | 4 | 7 |

S | 525 | 20 | 8 | 8 | 4 |

T | 375 | 12 | 20 | 4 | 8 |

**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)?**

**Answer**: Option C

**Explanation**:

Required difference = (27 + 102 + 16 + 42) â€“ (63 + 56 + 42) = 187 âˆ’ 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?**

**Answer**: Option E

**Explanation**:

Required % = \(\frac{[212 + 63 âˆ’ 44]}{44}\) Ã— 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. ?**

**Answer**: Option C

**Explanation**:

Required Ratio = 63 + 85 : 16 + 42 = 148 âˆ¶ 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.**

**Answer**: Option D

**Explanation**:

Required employees = (\(\frac{40}{100}\) Ã— 120) + (\(\frac{60}{100}\) Ã— 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?**

**Answer**: Option D

**Explanation**:

Required Ratio = 42 + 75 27 + 102 = 117 : 129 = 39 : 43

Year | Expenditure (in millions) | Income (in millions) | Profit%/Loss% |
---|---|---|---|

2011 | 96 | – | 15% |

2012 | 124 | – | – |

2013 | 105 | – | 20% |

2014 | – | 179.8 | – |

2015 | – | – | -12% |

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

**Answer**: Option C

**Explanation**:

In 2011, profit = \(\frac{15}{100}\) Ã— 96 = 14.4 millions

In 2013, profit = \(\frac{80}{100}\) Ã— 105 = 21 millions

Required % = \(\frac{(21 â€“ 14.4)}{14.4}\) Ã— 100 = 45.83%

**2. In 2015, expenditure of company was 15% more as compared to 2012. Find income generated by company in 2015.**

**Answer**: Option A

**Explanation**:

In 2015, expenditure = \(\frac{115}{100}\) Ã— 124 = 142.6 miilions

So income = \(\frac{88}{100}\) Ã— 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? **

**Answer**: Option D

**Explanation**:

Profit in 2011 = \(\frac{15}{100}\) Ã— 96 = 14.4 millions

So loss in 2012 = 16.6 + 14.4 = 31 millions

So loss% = \(\frac{31}{124}\) Ã— 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.**

**Answer**: Option E

**Explanation**:

In 2014, profit% = \(\frac{160}{100}\) Ã— 15 = 24%

So expenditure in 2014 = 179.8 Ã— \(\frac{100}{124}\) = 145 millions

So required % = \(\frac{(145-105)}{105}\) Ã— 100 = 38%

**5. Using the data from the table and above 4 questions, find the average profit of the company in all years.**

**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 â€“ 125.488) = 17.112 millions

So average = \(\frac{(14.4 â€“ 31 + 21 + 34.8 â€“ 17.112)}{5}\) = 4.4176 millions

Year | Ratio of Investiment | Period of Investiment(Months) | Totla Profit | ||
---|---|---|---|---|---|

P | Q | R | |||

2012 | 4 : 3 : 5 | 4 | 6 | – | 20800 |

2013 | – : 3 : – | 8 | 5 | 6 | 39650 |

2014 | 5 : 4 : – | 3 | 5 | 5 | – |

2015 | – : – : 4 | – | – | 4 | 22550 |

2016 | 3 : – : 5 | 4 | 7 | 6 | 14700 |

**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?**

**Answer**: Option C

**Explanation**:

Ratio of share of profit of P : Q : R is

4 Ã— 4 : 3 Ã— 6 : 5 Ã— x

16 : 18 : 5x

So \(\frac{5x}{(34 + 5x)}\) Ã— 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?**

**Answer**: Option D

**Explanation**:

x Ã— 8 : 3 Ã— 5 : y Ã— 6

8x : 15 : 6y

So \(\frac{8x}{(8x + 15 + 6y)}\) Ã— 39650 = 10400

Solve, 225x â€“ 60y = 150

15x â€“ 4y = 10â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦(1)

Also

\(\frac{6y}{(8x + 15 + 6y)}\) Ã— 39650 = 19500

Solve, 61y = 75 + 40x + 30y

40x â€“ 31y = -75â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦.(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.**

**Answer**: Option E

**Explanation**:

In 2014, P invested Rs 5x, Q â€“ 4x and R 3600

So ratio of share of profits of P, Q and R:

5x Ã— 3: 4x Ã— 5 : 3600 Ã— 5

3x : 4x : 3600

Let total profit = Rs y

So \(\frac{4x}{(7x + 3600)}\) Ã— y = 12000â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦â€¦(1)

\(\frac{xy}{(7x + 3600)}\) = 3000

Also,

\(\frac{[\frac{3600}{(7x + 3600) }Ã— y]}{y}\) = \(\frac{3}{10}\)

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.**

**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

3900Ã—y : 2600Ã—y = 4xÃ—4

975y : 650y : 4x

So \(\frac{(975y-650y)}{(975y + 650y + 4x)}\) Ã— 22550 = 2750

\(\frac{325y}{(1625y + 4x)}\) = \(\frac{2750}{22550}\)

1625y + 4x = 2665y

4x = 1040y

So \(\frac{y}{4x}\) = \(\frac{1}{1040}\)

**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.**

**Answer**: Option B

**Explanation**:

Ratio of share of profit of P : Q : R is

3Ã—4 : x Ã— 7 : 5 Ã— 6

12 : 7x : 30

So \(\frac{(7x – 12)}{(7x + 42)}\) Ã— 14700 = 5250

(7x – 12) Ã— 14 = (7x + 42)Ã— 5

98x â€“ 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 = \(\frac{6}{(3 + 6 + 5)}\) Ã— 16800 = Rs 7200