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Question:

A medical practitioner has created different potencies of a commonly used medicine by dissolving tables in water and using the resultant solution.

Potency 1 solution: When 1 tablet is dissolved in 50 ml, the entire 50 ml is equivalent to one dose.Potency 2 solution: When 2 tablets are dissolved in 50 ml, the entire 50 ml of this solution is equivalent to 2 doses,… and so on.

This way he can give fractions of tablets based on the intensity of infection and the age of the patient.

For particular patient, he administers 10 ml of potency 1, 15 ml of potency 2 and 30 ml of potency 4. The dosage administered to the patient is equivalent to

Explanation:

50 ml of potency 1 solution is equivalent to 1 tablet; 50 ml of potency 2 solution is equivalent to 2 tablets and so on.

Hence, 10 ml of potency 1 solution is equivalent to 10/50 = 1/5 tablet.

Similarly, 15 ml of potency 2 and 30 ml of potency 4 corresponds to 15/50 × 2 and 30/50 × 4 tablets respectively.

Hence, the dosage administered is equivalent to

1/5 + 3/5 + 12/5 = 16/5 = 3.2 tablets

Hence, option (b).