Q. 70

# A tea merchant bl

Let the two varieties of tea be ‘A’ and ‘B’

Cost of ‘A’ = 234 Rs

Cost of ‘B’ = 130 Rs

Ratio of their costs = =

Divide numerator and denominator by 2

Ratio of their costs =

Divide numerator and denominator by 13

Ratio of their costs = …(i)

Weight of mixture = 84 kg

Let the weight of type ‘A’ tea in the mixture be ‘a’ and as total is 84 the weight of type ‘B’ tea would be (84 – a)

Now given that the ratio of two varieties of tea in the mixture is same as the ratio of their costs

Using (i) and given condition

=

Cross multiply

9 × (84 – a) = 5a

756 – 9a = 5a

756 = 14a

a =

Divide numerator and denominator by 7 we get

a = = 54 kg

84 – a = 84 – 54 = 30 kg

Therefore, weight of 234 Rs/kg tea in mixture is 54 kg and weight of 130 Rs/kg tea in mixture is 30 kg

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