A trader sells two varieties of Rice A and B. He Mixes 12 Kg of A with 16 kg of B, and by selling this mixture at price of B Rice he gets 20% profit. If the price of A variety Rice is Rs.66/Kg, then what is the price of B variety /Kg.
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Answer:
Rs 108 per kg
Step-by-step explanation:
Let the cost per kg of B be x.
The cost of the rice will be :
Cost A = rs 66 per kg
Cost B = rs x per kg
Total cost of the two varieties :
= 12 × 66 + 16 × x
= 792 + 16x
When the two varieties are mixed the total amount of rice becomes :
= 12 + 16 = 28kg
If it is sold at the price of B the Cost will be :
= 28 × x = 28x
The profit = 28x - (792 + 16x) =
= 12x - 792
The percentage profit = 20%
20/100(792 + 16x) = 158.4 + 3.2x
This is the profit.
We equate the two as follows :
158.4 + 3.2x = 12x - 792
158.4 + 792 = 12x - 3.2x
950.4 = 8.8x
x = 950.4/8.8
x = 108
The price of B per kg is :
Rs 108 per kg.
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