The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt soluti

Question

The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. If instead the proportion is 3 : 2 : 1, then the resulting solution has strength 30%. A fourth solution, D, is produced by mixing B and C in the ratio 2 : 7. The ratio of the strength of D to that of A is

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Accepted Answer

1 : 3. Let 'a', 'b' and 'c' be the concentration of salt in solutions A, B and C respectively. It is given that three salt solutions A, B, C are mixed in the proportion 1 : 2 : 3, then the resulting solution has strength 20%. ⇒ \Rightarrow ⇒ a + 2 b + 3 c 1 + 2 + 3 = 20 \dfrac{a+2b+3c}{1+2+3} = 20 1 + 2 +