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A salt and water mixture, of which 7.5% is salt, costs ₹22.50 per litre. Another salt and water mixture, of which 17.5% is salt, costs ₹z per litre. I
Question

A salt and water mixture, of which 7.5% is salt, costs ₹22.50 per litre. Another salt and water mixture, of which 17.5% is salt, costs ₹z per litre. If the cost of twelve litres of a salt and water mixture, of which 22.5% is salt, is ₹450, find the value of z.

A.

32.50

B.

31.50

C.

30.60

D.

34.50

Correct option is A

Given:
Mixture 1: 7.5% salt, costs ₹22.50 per litre
Mixture 2: 17.5% salt, costs ₹z per litre (to be determined)
Mixture 3: 22.5% salt, total cost for 12 litres = ₹450
Concept Used: Alligation Method

1             :               2

cost of 1 litre = 45012\frac{450}{12} = 37.5​

Price of mixture 2 = 22.5+(2×37.5)3\frac{22.5 + (2 \times 37.5)}{3} = 32.5 Rs./ litre

Thus, the correct option is (a)

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