Mixture and Alligation: Ratio Problems

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Questions and Answers

A shopkeeper mixes two types of rice, one costing $50/kg and another costing $70/kg. If the mixture is sold at $65/kg, what should be the ratio of the quantities of the two types of rice in the mixture to achieve this price?

  • 1:1 (correct)
  • 1:2
  • 3:2
  • 2:3

A solution of 80% alcohol strength is mixed with a solution of 95% alcohol strength. What should be the ratio of the two solutions to obtain a mixture with 90% alcohol strength?

  • 1:1 (correct)
  • 1:2
  • 2:1
  • 3:2

In an examination, 12500 students appeared. 80% of the boys and 70% of the girls passed. If the overall pass percentage is 75%, how many boys appeared for the examination?

  • 7250
  • 5250
  • 4250
  • 6250 (correct)

A merchant wants to mix three types of tea costing $60, $80, and $90 per kg in such a way that the mixture is worth $75 per kg. What ratio should he mix the first two types of tea if he mixes the first and third types in the ratio of 1:2?

<p>2:1 (A)</p> Signup and view all the answers

Two vessels of equal volume contain milk and water in the ratios of 3:2 and 7:3 respectively. If the mixtures are thoroughly mixed, what is the ratio of milk to water in the resulting mixture?

<p>37:23 (A)</p> Signup and view all the answers

Flashcards

What is Alligation?

A method to find the ratio in which two or more ingredients at a given price are mixed to produce a mixture of a desired price.

What is the 'Mixture' Price?

The weighted average price of a mixture, considering the prices and quantities of its ingredients.

What is the ratio of the mixture?

7:30

Mixture Problems

A method to solve problems related to combining two or more quantities of different costs to create a mixture.

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Mixing Alcohol Strengths

Find the ratio in which two ingredients with 80% and 95% alcohol strength must be mixed to get a mixture of 90% alcohol strength.The ratio is 1:2.

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Study Notes

  • Mixture and alligation
  • Date: 1/1
  • Page No: 11
  • Total Videos A, Price 60/kg
  • B: 692/kg, 270 kg
  • Apple Price
  • Ratio of quantity is 4:5
  • 120kg, 150kg

Type - 1

  • 12500 students appeared in an exam
  • 50% of boys, 70% of girls cleared the examination
  • Qualifying % of the total percent of students is needed
  • How many girls appeared in the exam?
  • Total divided by 2
  • 12500/2 = 6250
  • 6250 is for both Boys and Girls ie B -> G

Solving

  • Boys has 50%, Girls has 70%
  • Draw circles and put them together: B 50%, G 70%
  • In the middle is the mixture of 60%
  • From 70 to 60 is 10%, from 60 to 50 is 10%
  • So then it goes to a ratio of 1:1

Q2

  • In what ratio must a mixture of 30% alcohol strength be mixed with that of 80% alcohol strength as to get a mixture of 45% alcohol strength?

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