a. 3 : 13 : 7

b. 3 : 36 : 28

c. 27 : 16 : 28

d. 27 : 36 : 28

**Answer:** d. 27 : 36 : 28

**Explanation:**

B is common to both the ratios.

Values of b = 4 and 9 (That means they are not the same)

Make the values of 'b' same as follows -

Multiply 3:4 up and down with 9 as shown

∴ | 3 x 9 | = | 27 | = | a |

4 x 9 | 36 | b |

∴ | 9 x 4 | = | 36 | = | b |

7 x 4 | 28 | c |

a. Rs 1245/-, Rs 1150/- and Rs 1000/-

b. Rs 1470/-, Rs 1120/- and Rs 805/-

c. Rs 1550/-, Rs 1235/- and Rs 610/ -

d. Rs 1764/-, Rs 1022/- and Rs 529/-

**Answer:** b. Rs 1470/-, Rs 1120/- and Rs 805/-

**Explanation:**

Common factor helps in finding actual values easily

So, take 'A' as common factor.

∴ 3 numbers will now be 42A, 32A and 23A

∴ 42A + 32A + 23 A = 3395

∴ 97A = 3395

∴ A = 35

3 parts of 3395 are

**42A = 42 x 35 = 1470;
32A = 32 x 35 = 1120
23A = 23 x 35 = 805
These are the amounts to be paid.**

a. 124

b. 126

c. 135

d. 150

**Answer:** b. 126

**Explanation:**

1^{st} number : 2^{nd} number = 3:7 = | 3 |

7 |

2^{nd} number : 3^{rd} number = 6:5 = | 6 |

5 |

Make the values of 2

Multiply 3:7 up and down with 6 as shown

∴ | 3 x 6 | = | 18 | = | 1^{st} Number |

7 x 6 | 42 | 2^{nd} Number |

∴ | 6 x 7 | = | 42 | = | 2^{nd} Number |

5 x 7 | 35 | 3^{rd} Number |

1

2

1

Common factor helps in finding actual values easily

So, take 'A' as common factor.

So now the 3 numbers are 18A, 42A and 35A

∴ 18A + 42A + 35A = 285

∴ A = 3

a. 45

b. 64

c. 105

d. 120

**Answer:** a. 45

**Explanation:**

Ratio of original money numbers = 3:8

Common factor helps in finding actual values easily

So, take 'M' as common factor.

∴ Original numbers will be 3M and 8M

Adding 5 to them, we get (3M + 5) and (8M+5)

∴ | 3M+5 | = | 2 | -----------------> (Ratio of new numbers is 2:5) |

8M+5 | 5 |

∴ M = 15

a. 7.5 Ltr

b. 8 Ltr

c. 12 Ltr

d. 16 Ltr

**Answer:** d. 16 Ltr