Subject: General Aptitude · Chapter: Alligation or Mixture · Exam: · Marks: · Difficulty:
Two vessels A and B contain spirit and water mixed in the ratio 5 : 2 and 7 : 6 respectively. Find the ratio in which these mixtures be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8 : 5 ?
(a)4 : 3
(b)3 : 4
(c)5 : 6
(d)7 : 9
Answer
Answer (as printed): D
Explanation
Let the C.P. of spirit be ` 1 per litre. 5 Spirit in 1 litre mix. of A = litre; 7 5 C.P. of 1 litre mix. in A = ` . 7 7 Spirit in 1 litre mix. of B = litre; 13 7 C.P. of 1 litre mix. in B = ` . 13 8 Spirit in 1 litre mix. of C = litre; 13 8 Mean price = ` . 13 By the rule of alligation, we have: C.P. of 1 litre C.P. of 1 litre mixture in A mixture in B 5 7 7 13 Mean price 8 13 1 9 13 91 1 9 ∴ Required ratio = : = 7 : 9. 13 91
Explanation as extracted from the printed page; notation may be imperfect.