Subject: General Aptitude · Chapter: Alligation or Mixture · Exam: · Marks: · Difficulty:
Tea worth ` 126 per kg and ` 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixtur is worth ` 153 per kg, the price of the third variety per kg will be :
(a)` 169.50
(b)` 170
(c)` 175.50
(d)` 180
Answer
Answer (as printed):
Explanation
Since first and second varieties are mixed in equal propor- tions, so their average price 126 + 135 =` = ` 130.50. 2 So, the mixture is formed by mixing two varieties, one at ` 130.50 per kg and the other at say, ` 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 tea of Cost of 1 kg tea of 1st kind 2nd kind ` 130.50 `x Mean price ` 153 (x – 153) 22.50 x – 153 ∴ = 1 ⇒ x – 153 = 22.50 ⇒ x = 175.50. 22.50 Hence, price of the third variety = ` 175.50 per kg.
Explanation as extracted from the printed page; notation may be imperfect.