How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per
Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?  Choose the correct choice from the following answers.
A) 60 Kg  B) 63 kg  C) 58 Kg  D) 56 Kg  E) 66 Kg
Explanation :   Selling Price(SP) of 1 Kg mixture= Rs. 9.24   Profit = 10%   Cost Price(CP) of 1 Kg mixture= 100(100+Profit%)×SP=100(100+10)×9.24=100110×9.24=92.411=Rs.8.4   By the rule of alligation, we have   CP of 1 kg sugar of 1st kind CP of 1 kg sugar of 2nd kind   Rs. 9 Rs. 7   Mean Price   Rs.8.4   8.4 - 7= 
<gadget id="calculator">8.4 - 7</gadget>
<output>1.4</output>
1.4 9 - 8.4= .6   ie, to get a cost price of 8.4, the sugars of kind1 and kind2 should be mixed in the   ratio 1.4 : .6 = 14 : 6 = 7 : 3   Let x Kg of kind1 sugar is mixed with 27 kg of kind2 sugar   then x : 27 = 7 : 3   ⇒x27=73⇒x=27×73=63   Answer : Option 63 kg
<result>B</result>
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per
Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?