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abhishek verma

· started a discussion

· 1 Months ago

The answer seems wrong! (Question: 116112.0 )

The answer should be 1:4 as this satisfies the need of 28*1 + 38*4 = 180/5 i.e 36

Question:

A shopkeeper mixes two varieties of sugar costing Rs 28/kg and Rs 38/kg. In what ratio should he mix the two different varieties so that he can sell it at Rs 36/kg including a profit of 20%?

Options:
A) 1:4
B) 4:1
C) 3:2 
D) 2:3
E) None of these
Solution:
Ans: (b) Given that the selling price of the sugar mixture = Rs. 36/kg including 20% profit

Let the cost price of sugar mixture = Rs. x/kg

According to the question,

x + 20% of x = 36

x = Rs. 30/kg

Now, we can calculate the ratio of mixing two varieties of sugar by alligation formula as:

\(\cfrac{n_1}{n_2}\) = \(\cfrac{(38 - 30)}{(30 - 28)} \ = \cfrac{8}{2}\) = 4 : 1

Knowledge Expert

· commented

· 1 Months ago

Given that the selling price of the sugar mixture = Rs. 36/kg including 20% profit Let the cost price of sugar mixture = Rs. x/kg According to the question, x + 20% of x = 36 x = Rs. 30/kg Now, apply allegation formula to get answer
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