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In an Island called Nucolar, only two tribes Bhainaa and Koliya lives. The populatin of Bhainaa is 50% more than that of Koliya. In the island, the ratio of males to females is 11 : 9 and in Koliya tribe the number of females is 40% less than that of male population and in Bhainaa tribe, the male populations are equal to that of female populations. The total number of female populations in Koliya tribe is 1200.

Important for :

1

B

The following common explanation , we getThe total population of the island = 8000

The total male population of Bhainaa tribe = 2400

The required ratio = 8000 : 2400 = 10 : 3

Let the population of Koliya = 2x then the ppulatin of Bhainaa = 150% of 2x = 3x ......... (i)

Let the number of males = 11a then the number of females = 9a ......... (ii)

In Koliya tribe, let the number of male = 5b then the number of female = (100 – 40)% of 5b = 60% of 5b = 3b = 1200

b = 400

the population of Koliya tribe = (5b + 3b) = 8b = 3200 = 2x (from the equation (i))

Then x = 1600

The population of Bhainaa tribe = 3x = 4800

The total population of the island = 3200 + 4800 = 8000

In Bhainaa tribe, the male population = c = the number of female populations

= | 4800 | = 2400 |

2 |

From the equation (ii)

The number of males = | 11 × 8000 | = 4400 |

20 |

The number of female populations = | 9 × 8000 | = 3600 |

20 |

2

B

The following common explanation , we getThe number of males = | 11 × 8000 | = 4400 |

20 |

Hence, option B is correct.

Let the population of Koliya = 2x then the ppulatin of Bhainaa = 150% of 2x = 3x ......... (i)

Let the number of males = 11a then the number of females = 9a ......... (ii)

In Koliya tribe, let the number of male = 5b then the number of female = (100 – 40)% of 5b = 60% of 5b = 3b = 1200

b = 400

the population of Koliya tribe = (5b + 3b) = 8b = 3200 = 2x (from the equation (i))

Then x = 1600

The population of Bhainaa tribe = 3x = 4800

The total population of the island = 3200 + 4800 = 8000

In Bhainaa tribe, the male population = c = the number of female populations

= | 4800 | = 2400 |

2 |

From the equation (ii)

The number of males = | 11 × 8000 | = 4400 |

20 |

The number of female populations = | 9 × 8000 | = 3600 |

20 |

3

D

The following common explanation , we getThe number of males = | 11 × 8000 | = 4400 |

20 |

The number of female populations = | 9 × 8000 | = 3600 |

20 |

The required difference = 4400 – 3600 = 800

Hence, option D is correct.

Let the population of Koliya = 2x then the ppulatin of Bhainaa = 150% of 2x = 3x ......... (i)

Let the number of males = 11a then the number of females = 9a ......... (ii)

In Koliya tribe, let the number of male = 5b then the number of female = (100 – 40)% of 5b = 60% of 5b = 3b = 1200

b = 400

the population of Koliya tribe = (5b + 3b) = 8b = 3200 = 2x (from the equation (i))

Then x = 1600

The population of Bhainaa tribe = 3x = 4800

The total population of the island = 3200 + 4800 = 8000

In Bhainaa tribe, the male population = c = the number of female populations

= | 4800 | = 2400 |

2 |

From the equation (ii)

The number of males = | 11 × 8000 | = 4400 |

20 |

The number of female populations = | 9 × 8000 | = 3600 |

20 |

4

B

The following common explanation , we get
The total population of the island = 8000

The total population above eighteen = (100 – 20)% of 8000 = 80% of 8000 = 6400

Let the population of Koliya = 2x then the ppulatin of Bhainaa = 150% of 2x = 3x ......... (i)

Let the number of males = 11a then the number of females = 9a ......... (ii)

In Koliya tribe, let the number of male = 5b then the number of female = (100 – 40)% of 5b = 60% of 5b = 3b = 1200

b = 400

the population of Koliya tribe = (5b + 3b) = 8b = 3200 = 2x (from the equation (i))

Then x = 1600

The population of Bhainaa tribe = 3x = 4800

The total population of the island = 3200 + 4800 = 8000

In Bhainaa tribe, the male population = c = the number of female populations

= | 4800 | = 2400 |

2 |

From the equation (ii)

The number of males = | 11 × 8000 | = 4400 |

20 |

The number of female populations = | 9 × 8000 | = 3600 |

20 |

5

E

The following common explanation , we getThe total number of female population in Bhainaa tribe = 2400

The total number of female population in Koliya tribe = 1200

The reqd. % = | (2400 – 1200) × 100 | = 100% |

1200 |

Hence, option E is correct.

Let the population of Koliya = 2x then the ppulatin of Bhainaa = 150% of 2x = 3x ......... (i)

Let the number of males = 11a then the number of females = 9a ......... (ii)

In Koliya tribe, let the number of male = 5b then the number of female = (100 – 40)% of 5b = 60% of 5b = 3b = 1200

b = 400

the population of Koliya tribe = (5b + 3b) = 8b = 3200 = 2x (from the equation (i))

Then x = 1600

The population of Bhainaa tribe = 3x = 4800

The total population of the island = 3200 + 4800 = 8000

In Bhainaa tribe, the male population = c = the number of female populations

= | 4800 | = 2400 |

2 |

From the equation (ii)

The number of males = | 11 × 8000 | = 4400 |

20 |

The number of female populations = | 9 × 8000 | = 3600 |

20 |

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