Quantitative Aptitude - Alligation or Mixture

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Question - 1

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and  Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg ?

  • A 3 : 7
  • B 4 : 7
  • C 7 : 3
  • D 7 : 5

Question - 2

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

  • A 1 : 3
  • B 2 : 3
  • C 3 : 4
  • D 4 : 5

Question - 3

In what ratio must tea at Rs. 62 per kg be mixed with tea at Rs. 72 per kg so that the mixture must be worth Rs. 64.50 per kg ?

  • A 3 : 1
  • B 3 : 2
  • C 4 : 3
  • D 5 : 3

Question - 4

In what ratio must water be mixed with milk costing Rs. 12 per litre to obtain a mixture worth of Rs. 8 per litre?

  • A 1 : 2
  • B 2 : 1
  • C 2 : 3
  • D 3 : 2

Question - 5

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety

  • A Rs.18
  • B Rs.18.50
  • C Rs.19
  • D Rs.19.50

Question - 6

In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10% ?

  • A 3 : 2
  • B 3 : 4
  • C 3 : 5
  • D 4 : 5

Question - 7

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

  • A 36 kg
  • B 42 kg
  • C 54 kg
  • D 63 kg

Question - 8

In what ratio must water be mixed with milk to gain \(16\frac { 2 }{ 3 } %\)% on selling the mixture at cost price? 

  • A 1 : 6
  • B 6 : 1
  • C 2 : 3
  • D 4 : 3

Question - 9

A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is :

  • A 4 %
  • B \(6\frac { 1 }{ 4 } %\)%
  • C 20%
  • D 25%

Question - 10

Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?

  • A 4 : 3
  • B 3 : 4
  • C 5 : 6
  • D 7 : 9