Subject: General Aptitude · Chapter: Alligation or Mixture · Exam: · Marks: · Difficulty:
How many kgs. of wheat costing ` 8 per kg must be mixed with 36 kg of rice costing ` 5.40 per kg so that 20% gain may be obtained by selling the mixture at ` 7.20 per kg ?
Answer
Answer (as printed):
Explanation
S.P. of 1 kg mixture = ` 7.20, Gain = 20%. 100 ∴ C.P. of 1 kg mixture = ` × 7.20 = ` 6. 120 By the rule of alligation, we have : C.P. of 1 kg wheat of 1st kind C.P. of 1 kg wheat of 2nd kind (800 p) (540 p) Mean price (600 p) 60 200 Wheat of 1st kind : Wheat of 2nd kind = 60 : 200 = 3 : 10. Let x kg of wheat of 1st kind be mixed with 36 kg of wheat of 2nd kind. Then, 3 : 10 = x : 36 or 10x = 3 × 36 or x = 10.8 kg.
Explanation as extracted from the printed page; notation may be imperfect.