Home
Class 10
MATHS
In a regiment, the ratio of number of of...

In a regiment, the ratio of number of officers to the number of soldiers was `3 : 31` before a battle. In the battle 6 officers and 22 soldiers were killed. The ratio between the number of officers and the number of soldiers now is `1 : 13`. Find the number of officers and soldiers in the regiment before the battle.

Text Solution

Verified by Experts

The correct Answer is:
`217`
Promotional Banner

Topper's Solved these Questions

  • RATIO AND PROPORTION (INCLUDING PROPERTIES AND USES)

    ICSE|Exercise Exercise 7(D)|27 Videos

  • RATIO AND PROPORTION

    ICSE|Exercise MULTIPLE CHOICE QUESTION|61 Videos

  • REFLECTION

    ICSE|Exercise QUESTION|1 Videos

Similar Questions

Explore conceptually related problems

The ratio between the exterior angle and the interior angle of a regular polygon is 1 : 4. Find the number of sides in the polygon.

In a basket, the ratio between the number of oranges and the number of apples is 7 : 13 . If 8 oranges and 11 apples are eaten, the ratio between the number of oranges and the number of apples becomes 1 : 2 , Find the original number of oranges and the original number of apples in the basket.

The ratio between the number of men and women in an office is 5: 7. If the number of women working in the office is 42, find the number of men working in the office.

Two numbers are in the ratio 3 : 7 and their difference is 36. Find the number .

The ratio between an exterior angle and an interior angle of a regular polygon is 2 : 3. Find the number of sides in the polygon.

Three numbers are in the ratio 2:3:5 and the sum of these numbers is 800. Find the numbers

The ratio of the number of sides of two polygons is 1:2, and the ratio of the sum of their angles is 3:8. Find the number of sides in each polygon.

Two numbers are in the ratio 9 : 13 and their sum is 176 . Find the number .

Two numbers are in the ratio 3:7 and their sum is 230. Find the numbers.

At a collage basketball game, the ratio of the number of freshmen who attended to the number of juniors who attended is 3:4. The ratio of the number of juniors who attended to the number of seniors who attended is 7:6. What is the ratio of the number of freshmen to the number of seniors who attended the basketball game?

ICSE-RATIO AND PROPORTION (INCLUDING PROPERTIES AND USES)-QUESTIONS
  1. The work done by (x - 3) men in (2x + 1) days and the work done by (2x...

    Text Solution

    |

  2. When the fare of a certain journey by an airliner was increased in the...

    Text Solution

    |

  3. In a regiment, the ratio of number of officers to the number of soldie...

    Text Solution

    |

  4. if (a)/(b + c) = (b)/(c + a) = (c)/(a + b) and a + b + c = 0: show tha...

    Text Solution

    |

  5. if (a)/(b + c) = (b)/(c + a) = (c)/(a + b) and a + b + c ne 0, show th...

    Text Solution

    |

  6. Find the compound ratio of : (i) 3a : 2b, 2m : n and 4x : 3y ...

    Text Solution

    |

  7. Find the ratio compounded of the duplicate ratio of 5 : 6, the recipro...

    Text Solution

    |

  8. Find : (i) the fourth proportional to 3, 6 and 4.5. (ii) the mean ...

    Text Solution

    |

  9. Quantities a, 2, 10 and b are in continued proportion, find the values...

    Text Solution

    |

  10. What number should be subtracted fram each of the numbers 23, 30, 57 a...

    Text Solution

    |

  11. What should be added to each of the numbers 13, 17 and 22 so that the ...

    Text Solution

    |

  12. if (a^(2) + c^(2)), (ab + cd) and (b^(2) + d^(2)) are in continued pro...

    Text Solution

    |

  13. if p: q :: r, prove that p : r = p^(2): q^(2).

    Text Solution

    |

  14. if a ne b and a : b is the duplicate ratio of a + c and b + c, prove t...

    Text Solution

    |

  15. if a + c = mb and (1)/(b)+ (1)/(d) = (m)/(c), prove that a, b, c and d...

    Text Solution

    |

  16. if q is the mean proportional between p and r, prove that : p^(2) -...

    Text Solution

    |

  17. if a, b, c and d are in proportion, prove that : (i) (a-b)/(c-d)=...

    Text Solution

    |

  18. 6 is the mean proportion between two numbers x and y and 48 is third p...

    Text Solution

    |

  19. if (8x + l3y)/(8x - 13y) = (9)/(7), find x : y.

    Text Solution

    |

  20. if a : b = e : d, show that : 3a + 2b : 3a - 2b = 3c + 2d : 3c - 2d.

    Text Solution

    |