The ratio of Nicotine to Heroine in four types of drugs of equal quantity is 2 3 3 7 4 11 and 11 9 r...........

Quant (SSC) Ratio, Proportion

The ratio of Nicotine to Heroine in four types of drugs of equal quantity is 2 : 3, 3 : 7, 4: 11 and 11 :9 respectively. The four drugs are mixed together. What is the ratio of Nicotine to Heroine after mixing?

213 : 91

418 : 189

91 : 149

149 : 81

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Explanation:

Let the quantity of each drugs be ‘a’
Then quantity of nicotine after mixing is
= (2/5 + 3/10 + 4/15 + 11/20)a
= (2x12 + 3x6 + 4x4 + 11x3 /60)a
= (91/60)a
and quantity of heroine after mixing is
= (3/5 + 7/10 + 11/15 + 9/20)a
= (149/60)a
⇒ required ratio of nicotine to heroine after mixing
= (91 /60)a /(149/60)a = 91:149