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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%?

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1. 

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%?

[A]. 3 : 2
[B]. 3 : 4
[C]. 3 : 5
[D]. 4 : 5

Answer: Option A

Explanation:

 

S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10%.

C.P. of 1 kg of the mixture = Rs. 1-sym-oparen-h1 100 x 68.20 1-sym-cparen-h1 = Rs. 62.
110

By the rule of alligation, we have:

Cost of 1 kg tea of 1st kind.Cost of 1 kg tea of 2nd kind.
Rs. 60 Mean Price
Rs. 62
Rs. 65
3 2

 Required ratio = 3 : 2.

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