In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 6

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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%?

Options:

A . 3 : 2

B . 3 : 4

C . 3 : 5

D . 4 : 5

Answer: Option A

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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