Average money per head (boy or girl) = Rs. (675 / 75) = Rs. 9
Number of boys = 4 / (4 + 11) × 75 = 20
Number of girls = 11 / (4 + 11) × 75 = 55.
Let A liters wine cask hold originally, then
A[1 - (8 / A)]4 / A = 16 / 81
? (1 - (8 / A))4 = (2 / 3 )4
? (1 - (8 / A)) = (2 / 3)
? (8 / A) = (1 - (2 /3))
? (8 / A) = (1 / 3)
? A = 24 liters
As per figure, we can calculate as below.
Quantity sold at 20% profit = 3 / (3 + 2) × 100 = 60 kgs.
Quantity sold at 5% loss = (100 ? 60) = 40 kgs.
S.P. of 1 kg mixture = Rs. 68.20, Gain % = 10 %
Hence, C.P. of 1 kg mixture = (100 / 110) x 68 20 . = Rs. 62
By the rule of alligation
Hence, required ratio = 3 : 2
Amount of milk left = 80 [1 - (16 / 80)]3 = 80 (4 / 5)3
80 × (64 / 125) = 40.96 liters.
According to question ,
Total C. P. of 200 kg of mixture = Rs. (80 × 6·75 + 120 × 8)
Total C. P. of 200 kg of mixture = Rs. 1500
Average rate = Rs. 7·50 per kg
Required rate = 120% of Rs. 7·50
Required rate = Rs. 9 per kg.
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