Mixture and Alligation

Math and Mental Ability Civil Services Exam (CSAT)

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How many kg’s of salt pricing Rs.9/per kg must be combined with 27 kg of salt pricing Rs.7/kg so that 3 may be obtain of 10% by selling the combination at Rs.9.24/kg?

65kg

35kg

36kg

63kg

Explanation:

Step I : Salt Price of 1 kg of combination= Rs. 9.24
obtain= 10%
C.P of 1 kg of combination =[ (100) / (100+10)x9.24 ] = Rs. 8.40
Salts price = Rs. 8.40/-
Step (ii) By the rule of allegation
vi. C.P of 1 kg of salt of I kind (p) = 900
vii. C.P of 1 kg of salt of II kind (p) = 700
viii. Mean salt price (p) = 840
ix. d – m = 900 – 840 = 60
x. m – c = 840 – 700 = 140
Needed ratio = 140 : 60 = 7 : 3
Step (iii) Let (x) kg of salt of I kind be combined with 27 kg of II kind
7 : 3 = x : 27 => 7/3 = (x/27) => x = (7/3)*(27)= 63 kg.

By: MIRZA SADDAM HUSSAIN

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