How many kg of sugar costing Rs. 9/kg must be mixed with 27kg of sugar costing Rs. 7/ kg so that there may be a gain of 10% the mixture at Rs. 9.24 per kg?	Answers:
A) 45 B) 50 C) 56 D) 60 E) 63
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 rule of alligation,   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= 0.6   i.e., to get a cost price of 8.4, the sugars of kind1 and kind2 should be mixed in the ratio 1.4 : 0.6 = 14 : 6 = 7 : 3   Suppose x   kg of kind1 sugar is mixed with 27 kg of kind2 sugar.   then x : 27 = 7 : 3   ⇒3x=27×7⇒x=9×7=63   63
<result>E</result>
How many kg of sugar costing Rs. 9/kg must be mixed with 27kg of sugar costing Rs. 7/ kg so that there may be a gain of 10% the mixture at Rs. 9.24 per kg?