Mixture and Alligation

Quantitative Aptitude (CGL)

Title

45:30

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Indian Economy - Understanding the basics of Indian economic system

In a mixture of 55 litres, fruit juice and water are in the ratio of 4 : 1. How much water (in litres) must be added to make the mixture ratio 2 : 1?

This questions was previously asked in

Combined Graduate Level Examination Tier I 2023

- In the original mixture, the ratio of fruit juice to water is 4:1.

- Total mixture volume is 55 litres. So, the fruit juice is \((4/5) \times 55 = 44\) litres and water is \((1/5) \times 55 = 11\) litres.

- To change the ratio to 2:1, fruit juice and water should be such that \(\text{fruit juice} / \text{water} = 2/1\).

- Keep the fruit juice the same at 44 litres. So, \(44/\text{water} = 2/1\).

- Thus, \(\text{water} = 22\) litres is needed in the new ratio.

- Initial water is 11 litres, so additional water required is \(22 - 11 = 11\) litres.

Option:3, 11 litres is correct.