How many kg of tea powder priced at $3.6 per kg should be added to 24 kg of tea powder priced at $2.7 per kg in order to make 5% profit on selling the mixture at $ 3.15 per kg?
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Answer:
12 kg
Step-by-step explanation:
How many kg of tea powder priced at $3.6 per kg should be added to 24 kg of tea powder priced at $2.7 per kg in order to make 5% profit on selling the mixture at $ 3.15 per kg?
Let say X kg of tea powder priced at $3.6 per kg
mixed with 24 kg of tea powder priced at $2.7 per kg
Then Total Tea = 24 + X kg
Total Cost Price = 3.6X + 24*2.7 $
= 3.6X + 64.8 $
Profit = 5% = (5/100)(3.6X + 64.8 $)
Selling Price = (3.6X + 64.8 $)(1.05)
= 3.78X + 68.04 $
Mixture sold at $ 3.15 per kg
Selling rice = (24 + X)3.15 = 75.6 + 3.15X $
Equating selling price
3.78X + 68.04 = 75.6 + 3.15X $
=> 0.63X = 7.56
=> X = 12
12 kg of tea powder priced at $3.6 per kg should be added
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