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The ratio of petrol to diesel in mixture A is 5 : 3 and the ratio of diesel to petrol in mixture B is 11 : 25. In what ratio mixture A and mixture B respectively should be mixed to form a third mixture in which petrol becomes 66(2/3)% of the total mixture?

The ratio of petrol to diesel in mixture A is 5 : 3 and the ratio of diesel to petrol in mixture B is 11 : 25. In what ratio mixture A and mixture B respectively should be mixed to form a third mixture in which petrol becomes 66(2/3)% of the total mixture? Correct Answer 2 : 3

Given:

The ratio of petrol to diesel in mixture A is 5 : 3 and the ratio of diesel to petrol in mixture B is 11 : 25.

In third mixture petrol becomes 66(2/3)%.

Calculation:

Part of petrol in A = 5/8

Part of petrol in B = 25/36

Part of petrol in third mixture = 66(2/3)% = 2/3

By the rule of allegation :

:

= (1/36) : (1/24)

= 2 : 3

∴ ratio in which A and B are mixed is 2 : 3.

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