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There are two types of detergents – P and Q. Detergent P contains 60% soap and 40% bleach, while Detergent Q contain 82% soap and 18% of bleach. In what ratio should the detergents P and Q be mixed, so that the resultant mixture contains 72% of soap in it?

There are two types of detergents – P and Q. Detergent P contains 60% soap and 40% bleach, while Detergent Q contain 82% soap and 18% of bleach. In what ratio should the detergents P and Q be mixed, so that the resultant mixture contains 72% of soap in it? Correct Answer 5 : 6

Detergent P ⇒ 60% Soap + 40% bleach

Detergent Q ⇒ 82% Soap + 18% Bleach

Suppose the quantity of the two detergents P and Q mixed by x and y, respectively.

Using alligation, we get –

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∴ The quantities of two detergents P and Q are mixed in the ratio of 5 : 6.

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