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Previous Year Questions

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Question :

A vessel contains a mixture of aloe vera juice and amla juice in the ratio of 3: 5, when 64 ml of mixture is taken out and the remaining part of the vessel is filled with 32 ml of amla juice, then their ratio becomes 1: 2 respectively. How much quantity of aloe vera juice does the vessel have initially?

1. 120 ml

2. 240 ml

3. 60 ml

4. 180 ml

5. 320 ml

Correct Answer : 1
Solution :

Let initially, aloe vera juice = 3x ml and amla juice = 5x ml

Quantity of Aloe vera juice which is taken out from the vessel = 64 *(3/8) = 24 ml

Quantity of Amla juice which is taken out from the vessel = 64 *(5/8) = 40 ml

According to the question,

(3x - 24)/(5x - 40 + 32) = ½

=> 6x - 48 = 5x - 8

=> x = 40 ml

Quantity of aloe vera juice contained initially = 3 * 40 = 120 ml

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