Math, asked by gulabsa8792, 1 year ago

in what ratio must a person mix three kinds of tea costing Rs.60/kg,Rs.75/kg,Rs.100/kg so that the resultant mixture when sold at Rs.96/kg yields a profit of20%

Answers

Answered by amanraj56
3

Step-by-step explanation:

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Answered by windyyork
7

The required ratio is 4:1:4.

Step-by-step explanation:

Since we have given that

Cost price of each kind of tea is Rs. 60/kg, Rs. 75/kg, Rs. 100/kg

Selling price of mixture = Rs. 96/kg at a profit of 20%.

So, selling price before profit would be

\dfrac{100}{100+20}\times 96\\\\=\dfrac{100}{120}\times 96\\\\=\dfrac{10}{12}\times 96\\\\=80

So, using "Mixture and Allegations" would be

First kind    Second kind

 60                  75

             80

---------------------------------

80 - 60   :     80 -75

   20       :          5

     4       :           1

Now, for second and third kind would be

Second kind    :     third kind

      75                         100

                    80

------------------------------------------

 80 -75         :     100 - 80

    5               :         20

    1                :           4

So, combined ratio would be

First kind    :    Second kind     :      Third kind

        4         :            1

                                1                 :            4

-----------------------------------------------------------------------

        4         :            1                 :            4

Hence, the required ratio is 4:1:4.

# learn more:

In what ratio must a person mix three kinds of metal costing Rs 60/kg,Rs 75/kg and Rs 100/kg so that the resultant alloy when sold at Rs 96/kg result in a gain of 20%?

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