Question
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
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S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.
C.P. of 1 kg of the mixture = Rs. \(\left(\frac{100}{110}\times68.20\right)=Rs. 62.\)
By the rule of alligation, we have:
Cost of 1 kg tea of 1st kind = Rs. 60
Cost of 1 kg tea of 2nd kind. = Rs. 65
Main Price = Rs, 62
So, Required ratio = 3 : 2.
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