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Alligation or Mixture

Q1: 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

ANS:A - 3 : 2

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 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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