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%?

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%? Correct Answer 3 : 2

S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%
C.P. of 1 kg of the mixture = Rs. $$\left( {\frac{{100}}{{110}} \times 68.20} \right)$$   = Rs. 62
By the rule of alligation, we have:
Alligation mcq solution image
∴ Required ratio = 3 : 2

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