A) 36 Kg | B) 42 Kg |

C) 54 Kg | D) 63 Kg |

Explanation:

By the rule of alligation:

C.P. of 1 kg sugar of 1st kind C.P. of 1 kg sugar of 2nd kind

Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.

Let *x* kg of sugar of 1st kind be mixed with 27 kg of 2nd kind.

Then, 7 : 3 = *x* : 27 or *x* = (7 x 27 / 3) = 63 kg.

A) 5 lit | B) 10 lit |

C) 15 lit | D) 20 lit |

Explanation:

Number of liters of water in 150 liters of the mixture = 20% of 150 = 20/100 x 150 = 30 liters.

P liters of water added to the mixture to make water 25% of the new mixture.

Total amount of water becomes (30 + P) and total volume of mixture is (150 + P).

(30 + P) = 25/100 x (150 + P)

120 + 4P = 150 + P => P = 10 liters.

A) 360 ml | B) 320 ml |

C) 310 ml | D) 330 ml |

Explanation:

Here total parts of milk and water in the solution is 6+2 = 8 parts

1part = 640/8 = 80

old mixture contains 6parts of milk and 2 parts of water(6:2).

To get new mixture containing half milk and half water, add 4parts of water to the old mixture then 6:(2+4) to make the ratio same.

i.e, 4 x 80 = 320 ml.

A) 193 : 122 | B) 97 : 102 |

C) 115 : 201 | D) 147 : 185 |

Explanation:

Given the three mixtures ratio as (1:2),(2:3),(3:4)

(1+2),(2+3),(3+4)

Total content = 3,5,7

Given equal quantities of the three mixtures are mixed, then LCM of 3, 5, 7 = 105

105/3 = 35 , 105/5 = 21 , 105/7 = 15

Now, the individual equal quantity ratios are (35x1, 35x2), (21x2, 21x3), (15x3, 15x4)

(35,70), (42,63), (45,60)

So overall mixture ratio of milk and water is

35+42+45 : 70+63+60

122:193

But in the question asked the ratio of water to milk = 193 : 122

A) 80% | B) 70% |

C) 75% | D) 62% |

Explanation:

Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.

After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and

weight of a mixture = 60 + 15 = 75 gm.

So % of water = 100 x 60/75 = 80%.

A) 6 ml | B) 11 ml |

C) 15 ml | D) 9 ml |

Explanation:

Let us assume that the lotion has 50% alcohol and 50% water.

ratio = 1:1

As the total solution is 9ml

alcohol = water = 4.5ml

Now if we want the quantity of alcohol = 30%

The quantity of water = 70%

The new ratio = 3:7

Let x ml of water be added

We get,

=> x=6

Hence 6ml of water is added.