Question
The cost price of orange juice in bottle P is Rs. 68 per
liter, and the cost price of orange juice in bottle Q is Rs. 48. When the orange juice in bottles P and Q is mixed, the store owner sells 50 liters of this mixture at the cost price of orange juice in bottle P, making a profit of 12%. If the same mixture is sold at the cost price of orange juice in bottle Q, what is the percentage of loss or profit earned by the store owner?Solution
ATQ, Quantity of bottle Q = q Quantity of bottle P = 50 - q CP of the mixture = q × 48 + (50 - q) × 68 = 3400 - 20q SP of the mixture = 50 × 68 = 3400 Profit = (3400 - (3400 - 20q))/(3400 - 20q) × 100 = 12 1600q = 38080 - 160q q = 20 CP of the mixture = 3400 - 20 × 20 = 3000 New SP of the mixture = 50 × 48 = 2400 Required loss percentage = (3000 - 2400)/3000 × 100 = 20% loss
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