Latest CAT Aptitude Question SOLUTION: Tea worth Rs 126 kg and Rs 135 kg are mixed with third variety in the ratio of 1:1:2.if mixture worth Rs. 153/kg. the price of third variety per/kg?

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(#M40155134) CAT Category question ss Keep an EYE

Tea worth Rs 126 kg and Rs 135 kg are mixed with third variety in the ratio of 1:1:2.if mixture worth Rs. 153/kg. the price of third variety per/kg?

Asked In CAT (8 years ago)

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RAHUL AGARWAL  (8 years ago)

1st & 2nd varieties are mixed in equal proportions, so their average price = Rs. (126+135)/2=Rs. 130.5
so, the mixture is formed by mixing two varieties one at Rs. 130.5/kg & other at Rs. x/kg (Let) in the ratio 2:2, i.e 1:1
Acc. to alligation rule
(cost of 1kg tea of 2nd kind -mean price)/(mean price-cost of 1kg tea of 1st kind)=1:1
x-153/(153-130.5)=1 ( mean price=153/kg)
x-153/22.5=1
x-153=22.5 x=175.5 (ans)

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surendra  (8 years ago)

let the cost of third variety be 'X' Rs.
so considering for total as 4kg (1:1:2)
(126+135+(2*X))/4=153
by solving it, X value is 175.5

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