A trader mixes two types of sugar, type A and B in the ratio 3:2 to form a mixture which he sells at a price of sh 69.60 per kg in order to make a profit of 20%.

      

A trader mixes two types of sugar, type A and B in the ratio 3:2 to form a mixture which he sells at a price of sh 69.60 per kg in order to make a profit of 20%. If his buying price of type B is sh 70 per kg find the buying price of type A per kg

  

Answers


John
Selling price of 69.60 = 120%
? = 100%

= $\frac{100}{120}$ x 69.60 = sh 58

therefor cost of 1 kg of the mixture is:

Let buying price of

type A = x and type B = y

$\frac{3x + 70\times 2}{3 + 2}$ = 58

$\frac{3x + 140}{5}$ = 58

3x + 140 = 290

3x = 150

x = sh 50

Buying price of type A is sh 50 per kg
johnmulu answered the question on March 6, 2017 at 13:27


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