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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
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.
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