Latest self Aptitude Question SOLUTION: Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg w

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(#M40008432) SELF question self Keep an EYE

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

A. Rs. 169.50 B. Rs. 170
C. Rs. 175.50 D. Rs. 180

niru (12 years ago)

Unsolved Read Solution (4)

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vishnukarthick  (11 years ago)

1 : 1 :2
let x be the third mixture
(126 + 135 + 2x)/4 = 153
(261 + 2x ) =4*153
2x = 612 - 261
2x = 351
so, x = 175.50

thus option c is the answer..

Is this solution Helpfull? Yes (47) | No (5)  

Suprit Raj  (11 years ago)

Since first and second varieties are mixed in equal proportions.

So, their average price = Rs. 126 + 135 = Rs. 130.50
2
So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.

By the rule of alligation, we have:

Cost of 1 kg of 1st kindCost of 1 kg tea of 2nd kind
Rs. 130.50 Mean Price
Rs. 153 Rs. x
(x - 153) 22.50
x - 153 = 1
22.50
x - 153 = 22.50

x = 175.50

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srinivas  (8 years ago)

Excellent Answer by VISHNU KARTHICK

Is this solution Helpfull? Yes (1) | No   

priya  (9 years ago)

1 : 1 :2
let x be the third mixture
(126 + 135 + 2x)/3 = 153
(261 + 2x ) =3*153
2x = 459 - 261
2x = 198
so, x = 99 not given in option

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