In what ratio should wine costing ₹ 600 per litre be mixed with water which is free of cost so as to make a profit of 20% by selling the mixture at 480 per litre?

In what ratio should water and wine be mixed so that after selling the mixture at the cost price, a profit of 20 % is made?

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Option 2 : 1:1

Given:

Cost of sugar syrup per litre = Rs.12 

Cost of distilled water per litre = Rs.10 

Cost of the Mixture obtained per litre = Rs.11

No profit and no loss in the sale of the mixture.

Formula Used:

If two ingredients are mixed, then:

(Quantity of the cheaper / Quantity of the dearer) =

Calculation:

Let the quantity of the dearer ingredient (sugar syrup) = x litres

Let the quantity of the cheaper ingredient (distilled water) = y litres

Here, CP of the dearer ingredient = Rs.12 per litre

CP of the cheaper ingredient = Rs.10 per litre

Mean price = Rs.11 per litre

Using the condition of alligation,

y/x =

⇒ y/x = 1/1

∴ The required ratio of sugar syrup and distilled water to be added = 1:1

Exercise :: Alligation or Mixture - General Questions

11.	Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.
A. 1 : 3 B. 2 : 3 C. 3 : 4 D. 4 : 5 Answer: Option B Explanation: By the rule of alligation: Cost of 1 kg of 1st kind Cost of 1 kg of 2nd kind 720 p Mean Price 630 p 570 p 60 90 Required ratio = 60 : 90 = 2 : 3.

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12.	In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?
A. 3 : 2 B. 3 : 4 C. 3 : 5 D. 4 : 5 Answer: Option A Explanation: S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%. C.P. of 1 kg of the mixture = Rs. 100 x 68.20 = Rs. 62. 110 By the rule of alligation, we have: Cost of 1 kg tea of 1st kind. Cost of 1 kg tea of 2nd kind. Rs. 60 Mean Price Rs. 62 Rs. 65 3 2 Required ratio = 3 : 2.

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