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## Arithmetic: Ratio and Proportion Test-1

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Question 1 |

Two numbers are in the ratio of 5:4, and their sum is 261 then what will be the smaller number?

A | 145 |

B | 116 |

C | 45 |

D | 16 |

Question 1 Explanation:

Since the numbers are 5:4

And their sum is 261

Hence the numbers are = 5/9 x 261 =145

And the second number is 4/9 x 261 = 116

So the smallest number =116 i.e. option B

And their sum is 261

Hence the numbers are = 5/9 x 261 =145

And the second number is 4/9 x 261 = 116

So the smallest number =116 i.e. option B

Question 2 |

Richa, Meera, Manpreet went to coffee shop and all had a cup of black coffee each, the ratio of the bill shared by them was (Richa : Meera : Manpreet = 3 : 4 : 5). If the bill was of Rs. 348 then find how much money was paid by Richa?

A | 90 |

B | 87 |

C | 76 |

D | 43 |

Question 2 Explanation:

The ratio of the bill shared by them R : Mr : Mt = 3 : 4 : 5

The amount of the bill = Rs. 348

Therefore Richa paid = 3/12 x 348 = Rs. 87

The amount of the bill = Rs. 348

Therefore Richa paid = 3/12 x 348 = Rs. 87

Question 3 |

If the Incomes of Richa and Manpreet are in the ratio of 3:4 and the incomes of Manpreet and Ankita are 7:9 then what will be the ratio of incomes of Richa, Manpreet and Ankita ?

A | 21:34:45 |

B | 21:32:54 |

C | 21:28:36 |

D | 21:30:36 |

Question 3 Explanation:

Richa and Manpreet = 3:4

Manpreet and Ankita = 7:9

So Richa : Manpreet : Ankita

7 x 3 : 7 x 4 : 9 x 4 = 21 : 28 : 36

Manpreet and Ankita = 7:9

So Richa : Manpreet : Ankita

7 x 3 : 7 x 4 : 9 x 4 = 21 : 28 : 36

Question 4 |

The first, second and third class fares between two stations were 10 : 8 : 3 and the number of first, second and third class passengers between the two stations in a day was 3 : 4 : 10. The sale of tickets to passengers running between two stations on that day was Rs. 8050. How much was realized by the sale of second class tickets?

A | Rs. 3000 |

B | Rs. 2800 |

C | Rs. 4500 |

D | Rs. 3500 |

Question 4 Explanation:

The first, second and third class fares between two stations were 10 : 8 : 3

Therefore second class ticket ={(8 x4)/ 30+ 32+ 30} x 8050

= 32/92 x 8050 =Rs. 2800

Therefore second class ticket ={(8 x4)/ 30+ 32+ 30} x 8050

= 32/92 x 8050 =Rs. 2800

Question 5 |

A person distributes his pens among four friends A, B, C and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What isthe minimum number of pens that the person should have?

A | 65 |

B | 55 |

C | 23 |

D | 57 |

Question 5 Explanation:

LCM of 3,4,5,6 is 60

Therefore

1/3 x 60 = 20

1/4 x 60 = 15

1/5 x 60 = 12

1/6 x 60 = 10

A, B, C and D in the ratio 1/3 : 1/4 : 1/5 : 1/6 = 20 : 15: 12: 10 So, the minimum number of pens that the person should have

= 20 + 15 + 12 + 10 = 57

Therefore

1/3 x 60 = 20

1/4 x 60 = 15

1/5 x 60 = 12

1/6 x 60 = 10

A, B, C and D in the ratio 1/3 : 1/4 : 1/5 : 1/6 = 20 : 15: 12: 10 So, the minimum number of pens that the person should have

= 20 + 15 + 12 + 10 = 57

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