Type 3 - Find the quantity of pure drug

9. Altering Product Strength 9.2) Alligation 9.2.1) Alligation

9.2.1.1) Alligation Normal 1


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How many grams of a pure drug powder should you add to 360 g of 45 % of an ointment of the same drug so that the blended strength becomes 76%?


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lb equals 465 g kg

    Tic-tac-toe, Short form:

    `[[100 % (? \quad g),\quad\quad\quad\quad, 31 pt],[\quad\quad\quad\quad,76 % , \quad\quad\quad\quad],[45 % (360 \quad g),\quad\quad\quad\quad,24 pt]]`

    Therefore, 31 parts of pure drug should be mixed with 24 parts of the mixture which has a concentration of 45 % and the weight of 360 grams.
    `(360 \quad g)/(24 \quad parts)=x/(31 \quad parts) \quad therefore x = 465 \quad g`. Ans.