Question

How many kg of salt costing 28 per kg must be mixed with 39.6kg of salt costing 16 per kg so that selling the mixture at 29.9 there is a gain of 15%

Answer 1

Answer:

your answer for this question is 108.8 kg

Answer 2

198 kg of salt costing 28 per kg must be added.

Step-by-step explanation:

Since we have given that

Cost of salt per kg of first type = Rs. 28

Cost of salt per kg of second type = Rs. 16

Selling price of mixture at a gain of 15% = Rs. 29.9

cost price of mixture  would be

$\dfrac{100}{100+15}\times 29.9\\\\=\dfrac{100}{115}\times 29.9\\\\=Rs.\ 26$

Using the mixture and allegation we get that

 First type                Second type

     28                             16

                   26

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

26 -  16        :           28 - 26

    10            :                2

     5            :                 1

So, the quantity of salt costing Rs. 28 per kg must be mixed with 39.6 kg of salt costing 16 per kg would be

$\dfrac{5}{1}=\dfrac{x}{39.6}\\\\x=39.6\times 5\\\\x=198\ kg$

Hence, 198 kg of salt costing 28 per kg must be added.

# learn more:

A trader sells one type of sugar at 10 rupees per

kg. and suffered a loss of 20%. While he sells

the other type of sugar at Rs. 15 per kg and

makes a profit of 25%. Now he mixes both type

of sugar in equal proportion and sells the mix-

ture at 18 rupees per kg. Find his profit and loss

now

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