The ratio of water and milk in a mixture of 65 litre is 5 : 8. What quantity of water(in litre) must be added so that the ratio of water and milk becomes 3: 4?

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RRB NTPC Exam 27 Jan 2021 click here to view all questions

The ratio of water and milk in a mixture of 65 litre is 5 : 8. What quantity of water(in litre) must be added so that the ratio of water and milk becomes 3: 4?

A3 litres

B4 litres

C5 litres

D6 litres

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correct answer is: option c [5 litres] Explanation: Initially, the mixture has 65 litres with a water to milk ratio of 5:8. First, determine the initial quantities of water and milk. Let the initial quantity of water be $5x$ litres and the initial quantity of milk be $8x$ litres. Therefore, $5x + 8x = 65$. This simplifies to $13x = 65$, so $x = 5$. Initial quantity of water = $5 \times 5 = 25$ litres. Initial quantity of milk = $8 \times 5 = 40$ litres. Let the quantity of water to be added be $y$ litres. The new quantity of water becomes $25 + y$ litres, while the quantity of milk remains 40 litres. The new ratio of water to milk is 3:4. Thus, $\frac{25 + y}{40} = \frac{3}{4}$. Cross-multiplying gives $4(25 + y) = 3 \times 40$, which simplifies to $100 + 4y = 120$. Therefore, $4y = 20$, and $y = 5$. So, 5 litres of water must be added Akhilesh ? answered Apr 1 '25 at 20:29

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