Discussion

Explanation:

Proportion of wine in 3 samples is 13, 25, 38

Proportion of water in 3 samples is 23, 35, 58

Since equal quantities are taken, let 1 liter of each is mixed.

Total quantity of wine is 13+25+38 = 133120

Total quantity of water is 23+35+58 = 227120

∴ Proportion of wine and water in the solution is = 133 : 227.

Alternately,

Proportion of wine in 3 samples is 13, 25, 38

Proportion of water in 3 samples is 23, 35, 58

Since equal quantities are taken, let 120 liter of each is mixed.  (We’ve chosen 120 liters since it is divisible by the denominators of all the fractions i.e. LCM(3, 5 and 8) = 120)

Total quantity of wine is 13×120+25×120+38×120 = 40 + 48 + 45 = 133.

Total quantity of water is 23×120+35×120+58×120 = 80 + 72 + 75 = 227.

∴ Proportion of wine and water in the solution is = 133 : 227.

Hence, option (d).

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