#### Alligation or Mixture Question & Answers

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 |

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.

Subject: Alligation or Mixture - Quantitative Aptitude - Arithmetic Ability

- Related Questions

A Container has a capacity of 48 litres and is full of milk. 4 liters of milk is taken out of it and replaced by same quantity of water. Again 4 liters of the mixture is taken out and replaced by the same quantity of water . The process is repeated five times. How much milk is left in the mixture ?

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Subject: Alligation or Mixture - Quantitative Aptitude - Arithmetic AbilityIn what proportion water must be added to spirit to gain 20% by selling it at the cost price ?

Let the C.P of spirit be = Rs.10 per litre

S.P of the mixture = Rs. 10 per litre

Profit = 20

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Subject: Alligation or Mixture - Quantitative Aptitude - Arithmetic AbilityA sum of Rs.118 was divided among 50 boys and girls such that each boy received Rs.2.60 and each girl Rs.1.80. Find the number of boys and girls ?

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Number of boys = = 35

Number of girls = 50 - 35 = 15

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Subject: Alligation or Mixture - Quantitative Aptitude - Arithmetic AbilityA man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km /hr. Find the distance travelled on foot ?

Thus out of 7 hrs in all, he took 4 hrs to travel on foot

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Subject: Alligation or Mixture - Quantitative Aptitude - Arithmetic AbilityIn what ratio should two varieties of tea at Rs. 60 per kg and Rs.120 per kg be mixed together so that by selling the mixture at Rs.96 per kg, a profit of Rs.20% is obtained ?

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Now, let us apply allegation method :

= 40 : 20 = 2 : 1

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Subject: Alligation or Mixture - Quantitative Aptitude - Arithmetic Ability