Subject: General Aptitude · Chapter: Alligation or Mixture · Exam: · Marks: · Difficulty:
How many kilograms of sugar costing ` 9 per kg must be mixed with 27 kg of sugar costing ` 7 per kg so that there may be a gain of 10% by selling the mixture at ` 9.24 per kg ?
(a)36 kg
(b)42 kg
(c)54 kg
(d)63 kg
Answer
Answer (as printed): D
Explanation
S.P. of 1 kg of mixture = ` 9.24, Gain = 10%. 100 ∴ C.P. of 1 kg of mixture = ` × 9.24 = ` 8.40. 110 By the rule of alligation, we have : C.P. of 1 kg sugar of Cost of 1 kg sugar of 1st kind 2nd kind `9 `7 Mean price ` 8.40 1.40 0.60 ∴ Ratio of quantities of 1st and 2nd kind= 14 : 6 = 7 : 3. Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind. 7 × 27 Then, 7 : 3 = x : 27 or x = = 63 kg. 3
Explanation as extracted from the printed page; notation may be imperfect.