# Aptitude - Ratio and Proportion

Exercise : Ratio and Proportion - General Questions

- Ratio and Proportion - Formulas
- Ratio and Proportion - General Questions

11.

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

Answer: Option

Explanation:

Let A = 2*k*, B = 3*k* and C = 5*k*.

A's new salary = | 115 | of 2k = |
115 | x 2k |
= | 23k |
||

100 | 100 | 10 |

B's new salary = | 110 | of 3k = |
110 | x 3k |
= | 33k |
||

100 | 100 | 10 |

C's new salary = | 120 | of 5k = |
120 | x 5k |
= 6k |
||

100 | 100 |

New ratio | 23k |
: | 33k |
: 6k |
= 23 : 33 : 60 | ||

10 | 10 |

12.

If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

Answer: Option

Explanation:

Let 40% of A = | 2 | B |

3 |

Then, | 40A | = | 2B |

100 | 3 |

2A | = | 2B | |

5 | 3 |

A | = | 2 | x | 5 | = | 5 | |||

B | 3 | 2 | 3 |

A : B = 5 : 3.

13.

The fourth proportional to 5, 8, 15 is:

Answer: Option

Explanation:

Let the fourth proportional to 5, 8, 15 be *x*.

Then, 5 : 8 : 15 : *x*

5*x* = (8 x 15)

x = |
(8 x 15) | = 24. |

5 |

14.

Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

Answer: Option

Explanation:

Let the numbers be 3*x* and 5*x*.

Then, | 3x - 9 |
= | 12 |

5x - 9 |
23 |

23(3*x* - 9) = 12(5*x* - 9)

9*x* = 99

*x* = 11.

The smaller number = (3 x 11) = 33.

15.

In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how many 5 p coins are there?

Answer: Option

Explanation:

Let the number of 25 p, 10 p and 5 p coins be *x*, 2*x*, 3*x* respectively.

Then, sum of their values = Rs. | 25x |
+ | 10 x 2x |
+ | 5 x 3x |
= Rs. | 60x |
||

100 | 100 | 100 | 100 |

60x |
= 30 | x = |
30 x 100 | = 50. | |

100 | 60 |

Hence, the number of 5 p coins = (3 x 50) = 150.

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