7. Three varieties A, B and C of rice are mixed together in the ratio 4:1:1 respectively. The cos price of rice Bis* 82 per kg and that of rice Cis 90 per kg. If the price of the mixture is 39. per kg, then find the price per kg of rice A.
Answers
Given : . Three varieties A, B and C of rice are mixed together in the ratio 4:1:1 respectively.
The cost price of rice B is 82 per kg and that of rice C is 90 per kg.
the price of the mixture is 39. per kg,
To find : the price per kg of rice A.
Solution:
Three varieties A, B and C of rice are mixed together in the ratio 4:1:1 respectively.
A = 4x , B = x , C = x
Total Mixture = 4x + x + x = 6x kg
price of the mixture is 39. per kg,
Total cost = 39 * 6x = 234x Rs
The cost price of rice B is 82 per kg and that of rice C is 90 per kg.
Cost of B = 82x Rs
Cost of C = 90x Rs
Cost of A = ?
Cost of A + Cost of B + cost of C = Cost of mixture
=> Cost of A + 82x + 90x = 234x
=> Cost of A = 62x Rs
Qty of A = 4x
the price per kg of rice A = 62x/4x = 15.5 Rs
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