A) 4:3 | B) 3:4 |

C) 5:6 | D) 7:9 |

Explanation:

Let the C.P. of spirit be Re. 1 litre.

Spirit in 1 litre mix. of A = 5/7 litre, C.P. of 1 litre mix.

in A = Re. 5/7

Spirit in 1 litre mix. of B = 7/13 litre, C.P. of 1 litre mix.

in B = Re. 7/13

Spirit in 1 litre mix. of C = 8/13 litre, Mean price = Re. 8/13.

By the rule of alligation, we have:

Cost of 1 litre mixture in A Cost of 1 litre mixture in B

Required ratio = 1/13 : 9/91 = 7:9.

A) 58 l | B) 65 l |

C) 50 l | D) 62 l |

Explanation:

Let the tin contain 5x litres of liquids

$\frac{\left(\mathbf{5}\mathbf{x}\mathbf{}\mathbf{-}\mathbf{}\mathbf{45}\right)\mathbf{}\mathbf{x}\mathbf{}{\displaystyle \frac{\mathbf{4}}{\mathbf{5}}}}{\left(\mathbf{5}\mathbf{x}\mathbf{}\mathbf{-}\mathbf{}\mathbf{45}\right)\mathbf{}\mathbf{x}\mathbf{}{\displaystyle \frac{\mathbf{1}}{\mathbf{5}}}\mathbf{}\mathbf{+}\mathbf{}\mathbf{45}}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{2}}{\mathbf{5}}$

=> 5(4x - 36) = 2(x + 36)

=> 20x - 180 = 2x + 72

=> x = 14 litres

Hence, the initial quantity of mixture = 70l

Quantity of liquid B

= $\left(\mathbf{70}\mathbf{}\mathbf{-}\mathbf{}\mathbf{45}\right)\mathbf{}\mathbf{x}\mathbf{}\frac{\mathbf{1}}{\mathbf{5}}\mathbf{}\mathbf{+}\mathbf{}\mathbf{45}\mathbf{}$

= 50 litres.

A) 45 gm | B) 50 gm |

C) 55 gm | D) 60 gm |

Explanation:

Initial quantity of copper =$\frac{\mathbf{80}}{\mathbf{100}}\mathbf{}\mathbf{x}\mathbf{}\mathbf{50}$ = **40 g **

And that of Bronze = **50 - 40 = 10 g**

Let** 'p' gm** of copper is added to the mixture

=> $\left(\mathbf{50}\mathbf{}\mathbf{+}\mathbf{}\mathbf{p}\right)\mathbf{}\mathbf{x}\mathbf{}\frac{\mathbf{90}}{\mathbf{100}}$ **= 40 + p**

=> 45 + 0.9p = 40 + p

=> p = 50 g

Hence, **50 gms** of copper is added to the mixture, so that the copper is increased to 90%.

A) 1 : 10 | B) 10 : 1 |

C) 9 : 11 | D) 11 : 9 |

Explanation:

Customer ratio of Milk and Water is given by

**Milk :: Water**

6.4 0

$\frac{8}{1+{\displaystyle \frac{3}{8}}}=\frac{64}{11}$

**$\frac{64}{11}$ $\frac{64}{10}-\frac{64}{11}$**

=> **Milk : Water** = 110 : 11 = *10 : 1*

*Therefore, the proportionate of Water to Milk for Customer is** 1 : 10*

A) 1:1 | B) 2:1 |

C) 3:1 | D) 1:2 |

Explanation:

Quantity of alohol in the mixture = 40 x 5/8 = 25 lit

Quantity of water = 40 - 25 = 15 lit

According to question,

Required ratio = $\frac{\mathbf{20}\mathbf{}\mathbf{-}\mathbf{}\left(\mathbf{40}\mathbf{}\mathbf{x}\mathbf{}{\displaystyle \frac{\mathbf{20}}{\mathbf{100}}}\mathbf{}\mathbf{x}\mathbf{}{\displaystyle \frac{\mathbf{5}}{\mathbf{8}}}\right)}{\mathbf{15}\mathbf{}\mathbf{-}\mathbf{}\left(\mathbf{40}\mathbf{}\mathbf{x}\mathbf{}{\displaystyle \frac{\mathbf{20}}{\mathbf{100}}}\mathbf{}\mathbf{x}\mathbf{}{\displaystyle \frac{\mathbf{3}}{\mathbf{8}}}\right)\mathbf{}\mathbf{+}\mathbf{}\mathbf{40}\mathbf{}\mathbf{x}\mathbf{}{\displaystyle \frac{\mathbf{20}}{\mathbf{100}}}}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{20}}{\mathbf{15}\mathbf{}\mathbf{-}\mathbf{}\mathbf{3}\mathbf{}\mathbf{+}\mathbf{}\mathbf{8}}\mathbf{}\mathbf{=}\mathbf{}\mathbf{1}\mathbf{}\mathbf{:}\mathbf{}\mathbf{1}$

A) 85 | B) 60 |

C) 55 | D) 45 |

Explanation:

Let M litres milk be added

=> $\frac{\mathbf{60}\mathbf{}\mathbf{+}\mathbf{}\mathbf{M}}{\mathbf{40}}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{3}}{\mathbf{1}}$

=> 60 + M = 120

=> M = 60 lit.

A) 31.8% | B) 31% |

C) 33.33% | D) 29.85% |

Explanation:

Now, take percentage of milk and applying mixture rule

25 100

50

50 25 = 2 : 1

**Hence required answer = 1/3 or 33.33%**

A) 3:2 | B) 4:3 |

C) 2:3 | D) 3:4 |

Explanation:

Concentration of glucose are in the ratio = $\frac{1}{2}:\frac{3}{5}:\frac{4}{5}$

Quantity of glucose taken from A = 1 liter out of 2

Quantity of glucose taken from B = 3/5 x 3 = 1.5 lit

Quantity of glucose taken from C = 0.8 lit

So, total quantity of glucose taken from A,B and C = 3.6 lit

So, quantity of alcohol = (2 + 3 + 1) - 3.6 = 2.4 lit

Ratio of glucose to alcohol = 3.6/2.4 = 3:2

A) 71.02% | B) 76.92% |

C) 63.22% | D) 86.42% |

Explanation:

Let the milk he bought is 1000 ml

Let C.P of 1000 ml is Rs. 100

Here let he is mixing K ml of water

He is getting 30% profit

=> Now, the selling price is also Rs. 100 for 1000 ml

=> 100 : K%

= 100 : 30

10 : 3 is ratio of milk to water

=> Percentage of milk = 10 x 100/13 = 1000/13 = 76.92%