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A juice vendor wants to cut the cost of fruit juice so that he can earn some profit. In what ratio he should mix the water in juice costing Rs 20 per glass so that the juice would be worth of Rs 15 per glass.

A juice vendor wants to cut the cost of fruit juice so that he can earn some profit. In what ratio he should mix the water in juice costing Rs 20 per glass so that the juice would be worth of Rs 15 per glass. Correct Answer 1 ∶ 3

Given

Cost of 1 glass Juice = Rs. 20

Mean price = Rs. 15

Formula used

Quantity of cheaper/Quantity of dearer = (Price of dearer - Mean price)/(Mean price - Price of cheaper)

Calculation

Cost of 1 glass of water = Rs 0

Applying the rule of allegation

Water : Juice = (20 – 15) ∶ (15 – 0)

⇒ 5 ∶ 15

⇒ 1 ∶ 3

∴ The ratio of water and juice is 1 : 3.

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