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From the question,

(2x)*Price of Costly Sugar + (3x)*price of Cheap Sugar = Total Cost

after reversing the ratio,

(2x)*price of cheap sugar + (3x)*Price of costly sugar = Total Cost + 20% of Total Cost

after simplifying

2x*a + 3x*b = Tc
2x*b + 3x*a = 1.2Tc

divide both the equations, we get
12a + 18b = 15a + 10b

a/b = 8/3

the ratio of price of costlier variety to cheaper variety is 8:3

Suraj0184
A mixture of sugar is created by mixing sugar of costlier variety and cheaper variety in the ratio of 2:3 respectively. If this ratio is reversed, the price per kg of the mixture increases by 20%. Find the ratio of the price of the costlier variety to cheaper variety.

A. 5:3
B. 7:4
C. 7:5
D. 5:4
E. 8:3

Source : Wizako
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