SOLUTION: Three grades A, B and C of rice were mixed in the ratio 3:4:5 the cost per kilogram of each of the grades A, B and C were sh.120.00 , sh.90.00 and sh. 60.00 respectiely. calculat

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Question 1149901: Three grades A, B and C of rice were mixed in the ratio 3:4:5 the cost per kilogram of each of the grades A, B and C were sh.120.00 , sh.90.00 and sh. 60.00 respectiely. calculate
A) the cost of one kilogram of the mixture
B) the selling price of 5 kilogram of the mixture given that the mixture was sold at 8 % profit
Found 2 solutions by ankor@dixie-net.com, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Three grades A, B and C of rice were mixed in the ratio 3:4:5
the cost per kilogram of each of the grades A, B and C were sh.120.00, sh.90.00 and sh. 60.00 respectively. calculate:
:
A) the cost of one kilogram of the mixture.
three fractions: = 1
Cost of 1 kilo times these fractions
A: *120 = 30
B: *90 = 30
C: *60 = 25
--------------------------
Cost of 1 kilo: 85
:
B) the selling price of 5 kilogram of the mixture given that the mixture was sold at 8% profit
1.08(5*85) = 459 is the retail price of 5 kilos
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.

Each kilogram of the mixture has 3 parts of grade A; 4 parts of grade B and 5 parts of grade C by mass,

in all, there are  3+4+5 = 12 parts in each kilogram


Hence, each single part is   of kilogram, and each kilogram of the mixture contains 
 kg of grade A:   kg of grade B  and   kilogram of grade C.


So, the price of 1 kilogram of the mixture is    +  +  = 30 + 30 + 25 = 85 sh.


To get profit of 8%, the selling price should be  85*(1+0.08) = 85*1.08 = 91.80 ps for kilogram.


The selling cost of 5 kilograms is then  91.80*5 = 459 ps.

Solved.


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