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. | |||||||||||||
Answer: Option B Explanation:
By the rule of alligation:
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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%? | ||||||||||||||||||||
Answer: Option A Explanation:
S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.
By the rule of alligation, we have:
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