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%?

3 : 2
3 : 4
3 : 5
4 : 5

Correct Answer: 3 : 2

Explanation:

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

C.P. of 1 kg of the mixture = Rs.	❨	100	x 68.20	❩	= Rs. 62.
		110

By the rule of alligation, we have:

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

∴ Required ratio = 3 : 2.

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