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In what ratio must water be mixed with milk to gain $$16\frac{2}{3}\% $$  on selling the mixture at cost price?

A. 1 : 6

B. 6 : 1

C. 2 : 3

D. 4 : 3

Answer: Option A

Solution(By Examveda Team)

Let C.P. of 1 litre milk be Rs. 1
S.P. of 1 litre of mixture = Rs. 1, Gain = $$\frac{50}{3}$$ %
∴ C.P. of 1 litre of mixture = $$ {100 \times \frac{3}{{350}} \times 1} $$    = $$\frac{6}{7}$$
BY the rule of alligation, we have:
Alligation mcq solution image
∴ Ration of water and milk = $$\frac{{1}}{{7}}$$ : $$\frac{{6}}{{7}}$$ = 1 : 6

This Question Belongs to Arithmetic Ability >> Alligation

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Comments ( 5 )

  1. RAVIKUMAR WALIKAR
    RAVIKUMAR WALIKAR :
    3 years ago

    In this case we get the answer just by converting gain to fraction that's the ratio

  2. Prashi Chandrawanshi
    Prashi Chandrawanshi :
    5 years ago

    3/350 came with the formula of CP that is
    Cp= (100)÷ {100+(50/3)}

  3. Akanksha Verma
    Akanksha Verma :
    5 years ago

    how did 3/350 come

  4. KOMAL DHAKED
    KOMAL DHAKED :
    5 years ago

    How did 3/350 comes

  5. Md. Sadik
    Md. Sadik :
    6 years ago

    isn't there any rule except rule of alligation?

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