Type 2 - Find the ratio using alligation concept

9. Altering Product Strength 9.2) Alligation 9.2.1) Alligation

9.2.1.1) Alligation Normal 1


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In what ratio should you mix 29.3% and 12.3% sources of an ointment in order to obtain a product with strength of 15.7%?


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lb equals 1 : 4 kg

    The alligation tic-tac-toe will have a structure like this:

    `[[29.3 %,\quad\quad\quad\quad, 3.4 pt],[\quad\quad\quad\quad,15.7 % , \quad\quad\quad\quad],[12.3 %,\quad\quad\quad\quad,13.6 pt]]`

    Therefore, 3.4 parts should be taken from the source of 29.3%, and 13.6 parts should be taken from the source of 12.3%.
    `therefore` the ratio will be `(3.4)/(13.6)` or `(3.4/3.4)/(13.6/3.4)` `=> 1` : `4`. Ans.